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“A study of Awareness, Opportuni t ies & Problems for Retai l
Investors wi th Reference to Mutual Funds In Gujara t Sta te” G a n p a t U n i v e r s i t y
208 D a t a A n a l y s i s a n d I n t e r p r e t a t i o n
CHAPTER – 6
DATA ANALYSIS AND INTERPRETATION
Sr. No. Content Page No.
6.1 Introduction 212
6.2 Reliability and Normality of Data 212
6.3 Descriptive Analysis 213
6.4 Cross Tabulation 218
6.5 Chi– Square Test 223
6.5.1 Association between Gender of Respondents and
Method of Investment in Mutual Funds
223
6.5.2 Association between Age of Respondents and Method
of Investment in Mutual Funds
224
6.5.3 Association between Education Level of Respondents
and Method of Investment in Mutual Funds
225
6.5.4 Association between Employment Status of
Respondents and Method of Investment in Mutual
Funds
226
6.5.5 Association between Gender of Respondents and
Preference for Mutual Funds Type
227
6.5.6 Association between Age of Respondents and
Preference for Mutual Funds Type
228
6.5.7 Association between Education Level of Respondents
and Preference for Mutual Funds Type
229
6.5.8 Association between Employment Status of
Respondents and Preference for Mutual Funds Type
229
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6.5.9 Association between Monthly Income of Respondents
and Preference for Mutual Funds Type
230
6.5.10 Association between Monthly Investment of
Respondents and Preference for Mutual Funds Type
231
6.5.11 Association between Gender of Respondents and Level
of Risk Preference
232
6.5.12 Association between Age of Respondents and Level of
Risk Preference
232
6.5.13 Association between Education Level of Respondents
and Level of Risk Preference
233
6.5.14 Association between Employment Status of
Respondents and Level of Risk Preference
234
6.5.15 Association between Monthly Income of Respondents
and Level of Risk Preference
235
6.5.16 Association between Monthly Investment of
Respondents and Level of Risk Preference
236
6.5.17 Association between Gender of Respondents and
Duration of Investment
236
6.5.18 Association between Age of Respondents and Duration
of Investment
237
6.5.19 Association between Employment Status of
Respondents and Duration of Investment
238
6.5.20 Association between Monthly Income of Respondents
and Duration of Investment
239
6.5.21 Association between Monthly Investment of
Respondents and Duration of Investment
240
6.6 Friedman ANOVA Test
241
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210 D a t a A n a l y s i s a n d I n t e r p r e t a t i o n
6.6.1 Preference of Investors for Source of Information
about Mutual Funds
241
6.6.2 Preference of Investors for Different Mutual Funds
Schemes
243
6.6.3 Preference of Investors for Different Sponsors Mutual
Funds.
245
6.6.4 Preference of Investors for Different Investment
Avenues
246
6.7 Factor Analysis 249
6.8 Factor Analysis for Awareness About Mutual Funds 250
6.8.1 Bartlett Test of Spherity 250
6.8.2 Measures of Sampling Adequacy (MSA) 250
6.8.3 Anti-Image Correlation Matrix 251
6.8.4 Method of Factor Analysis 252
6.8.5 Method of Factor Rotation 252
6.8.6 Communalities 254
6.8.7 Eigenvalue and Total Variance Explained 264
6.8.8 Factor Loading 266
6.8.9 Revised Factor Extraction 268
6.8.10 Naming of Factors 270
6.9 ANOVA Analysis for Awareness 272
6.10 ANOVA Analysis for Awareness and Demographic
Variables
273
6.10.1 ANOVA Analysis for Awareness * Gender 273
6.10.2 ANOVA Analysis for Awareness * Age 274
6.10.3 ANOVA Analysis for Awareness * Education Level 276
6.10.4 ANOVA Analysis for Awareness * Employment Status
279
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6.11 Factor Analysis for Opportunities to Investment in
Mutual Funds
282
6.11.1 Revised Factor Extraction 284
6.11.2 Naming of Factors 286
6.12 ANOVA Analysis for Opportunities and Demographic
Variables
287
6.12.1 ANOVA Analysis for Opportunities * Gender 287
6.12.2 ANOVA Analysis for Opportunities * Age 288
6.12.3 ANOVA Analysis for Opportunities * Education Level 289
6.12.4 ANOVA Analysis for Opportunities * Employment
Status
290
6.13 Factor Analysis for Problems of Investing in Mutual
Funds
295
6.13.1 Revised Factor Extraction 297
6.13.2 Naming of Factors 299
6.14 ANOVA Analysis for Problems and Demographic
Variables
300
6.14.1 ANOVA Analysis for Problems * Gender 300
6.14.2 ANOVA Analysis for Problems * Age 301
6.14.3 ANOVA Analysis for Problems * Education Level 302
6.14.4 ANOVA Analysis for Problems * Employment Status 303
6.15 Summary 305
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6.1 Introduction
Once the raw data is collected, the next step is to analyze it to draw logical inferences
from them. The data collected in a survey could be voluminous in nature, depending
upon the size of the sample. It is necessary to arrange raw data collected during
primary survey in useful fashion. The purpose of this chapter is to analyze and test the
hypothesis created to achieve objective. To test the hypothesis analysis could be
univariate, bivariate and multivariate in nature. In the univariate analysis one variable
is analyzed at a time. In the bivariate analysis two variables are analysed together and
examined for any possible association between them. In the multivariate analysis, the
concern is to analyze more than two variables at a time. In present research various
data analysis techniques have been used depending on the type of data and hypothesis
framed.
6.2 Reliability and Normality of Data
A multi item scale should be evaluated for accuracy and applicability (Malhotra,
2009). It is used to measure the strength of the scale. Questionnaire consist twenty
two different statements on a 5-point scale. The content validity of the survey was
assessed in a pre-test with 36 respondents not included in the sampling frame. Pre-test
participants were asked to evaluate all aspects of the questionnaire, including the
wording of individual items, the general flow and structure of the instrument and its
comprehensiveness. Participants’ suggestions were then incorporated into the survey
prior to its final use. The most widely used reliability measure is Cronbach’s Alpha.
So, in reliability analysis, the alpha (α) coefficient is calculated to find out the internal
consistency of the items on the scale from 36 respondents.
Table – 6.1 Reliability Statistics
Cronbach’s alpha
Number of
questions Construct
Cronbach’s alpha
value
63 Overall 0.932
22 Awareness 0.964
20 Opportunities 0.938
21 Problems 0.799
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Alpha value of 0.6 or less generally indicates unsatisfactory level (Malhotra, 2009).
But in this survey the overall and individual test value was found more than the
required value that indicates good consistency among items and tools developed for
study are reliable and hence researcher can proceed further.
In case of normality, sample size has the effect of increasing statistical power by
reducing sampling error Hair et. al. (2009), Larger sample size reduces the
detrimental effects of non-normality. In small samples of 50 or less, significant
departures from normality can have a substantial impact on the results but for sample
size of 200 or more, however, the same effects may be negligible. Moreover, when
group comparisons are made, such as ANOVA, the differing sample sizes between
groups, if large enough, can even cancel out the detrimental effects. Thus, in most
instances, as the sample sizes become large, researcher can be less concerned about
non-normal variables. Normality can have serious effects in small samples (less than
50 cases), but the impact effectively diminishes when sample sizes reach 200 cases or
more. Here in this research as sample size is 463, researcher has assumed that
normality does exist.
6.3 Descriptive Analysis
Descriptive analysis refers to transformation of raw data into a form that will facilitate
easy understanding and interpretation. Descriptive analysis deals with summary
measures relating to the sample data. The common ways to summarizing data are by
calculating average, range, standard deviation, frequency and percentage distribution.
The first thing to do when data analysis is taken up is to describe the sample. In
following section characteristics of sample data gathered during primary survey are
described.
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Table – 6.2 – Descriptive Analysis for Demographic Variables
Variable Range Frequency %
Gender Male
Female
348
115
75.2
24.8
Age 21-30
31-40
41-50
51-60
More than 60
195
132
88
41
7
42.1
28.5
19.0
8.9
1.5
Marital Status Single
Married
Others
164
297
03
35.5
64.1
0.4
Education School
Graduate
Post graduate
Professional
Doctorate
Others
40
156
195
61
8
3
8.6
33.7
42.1
13.2
1.7
0.6
Family Size 1 person
2-3 persons
4-5 persons
More than 5 persons
8
137
245
73
1.7
29.6
52.9
15.8
Employment Status Salaried
Businessman/Self Employed
Housewife
Student
Retired
Unemployed
262
127
12
36
17
9
56.6
27.4
2.6
7.8
3.7
1.9
Type of House Stay Own
Rented
412
51
89.0
11.0
Investment in
Mutual Funds
Yes
No
463
00
100
00
Monthly Income Less than 10000
10001 to 15000
15001 to 20000
20001 to 25000
More than 25000
81
69
99
85
129
17.5
14.9
21.4
18.4
27.9
Monthly Investment
in Mutual Funds
Less than 5000
5001 to 10000
10001 to 15000
15001 to 20000
More than 20000
257
118
62
11
15
55.5
25.5
13.4
2.4
3.2
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Preference for Method
of Investment
Online
Offline
Both
101
197
165
21.8
42.6
35.6
Preference for
Mutual Funds type
Open Ended
Close Ended
Both
146
96
221
31.6
20.7
47.7
Preference for Risk High Risk
Medium Risk
Low Risk
65
249
149
14.0
53.8
32.2
Preference for
Duration of Investment
Less Than 1 Year
1 – 3 Years
3 – 5 Years
5 – 7 Years
More Than 7 Years
53
174
139
57
40
11.5
37.6
30.0
12.3
8.6
Table 6.2 provides a summary of the demographic profile of the respondents. The
result shows that a majority of the respondents were male (n = 348, 75.2 percent) with
only 24.8 percent of the female respondent (n = 115). Age is represented by middle
age respondents who represent almost 70 percent of the sample and which includes
age group 21-30 and 31-40 (n=195 & 132) and those with age group between 41-50
and 51-60 represent 19 percent and 9 percent (n=88 & 41) respectively. 1.5 percent (n
= 7) respondent were belong to more than 60 age group. Of the total sample, almost
64 percent (n=297) were married and 36 percent (n = 164) were belong to unmarried
category.
On the other hand, respondents with higher qualification such as professional and
doctorate represent 13.2 and 1.7 (n=61 and 8), high educational level (postgraduates)
represent 42 percent (n=195) of the sample, while medium education level (graduate)
represent 33.7 percent (n=156) and lower education level (undergraduate and high
school) represent 8.6 percent (n=40) of the sample.
With respect to family size of sample, it can be seen that highest proportion of
respondent n = 245 (53 percent) belong to moderate family size including 4-5 persons.
About 30 percent respondent belong to family size including 2-3 persons in family
(n=137). More than 5 persons in family members is represented by 16 percent (n =
73).
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It is evident from table 6.2 with respect to employment status that highest proportion
of the respondent were salaried employee and is represented by 56.6 percent (n=262)
followed by businessman/self-employed 27.4 percent (n=127). Housewife, student,
retired employee and unemployed respondent were represented by 12 percent (n=2.6),
7.8 percent (n=36), 3.7 percent (n=17) and 1.9 percent (n=9) respectively. Of the total
respondents 89 percent (n=412) were staying in their own house while remaining 11
percent (n=51) were staying in rented house.
While distributing respondents on the basis of monthly income, it is found that 17.5
percent of the respondents (n=81) earn less than Rs. 10000, 14.9 percent of
respondents (n=69) earn between Rs. 10001 to Rs. 15000, 21.4 percent respondents
(n=99) earn between Rs. 15001 to Rs. 20000 in a month, 18.4 percent of respondents
(n=85) earn between Rs. 20001 to Rs. 25000 while 27.9 percent of the respondents
(n=129) earn more than Rs. 25000 per month. Distribution of respondents based on
monthly investment in mutual funds shows that 55.5 percent (n=257) respondents
invest less than Rs. 5000 in mutual funds. 25.5 percent of respondents (n=118) invest
between Rs. 5001 to Rs. 10000, 13.4 percent respondents (n=62) invest between Rs.
10001 to Rs. 15000, 2.4 percent respondents (n=11) invest between Rs. 15001 to Rs.
20000 and 3.2 percent of respondents (n=15) invest more than Rs. 20000 per month in
mutual funds.
It is found from table 6.2 that 21.8 percent of the respondents (n=101) prefer online
mode of investment, 42.6 percent of respondents (n=197) prefer offline mode of
investment while 165 respondents (35.6 percent) prefer both mode for investment in
mutual funds.
While distributing respondents based on type of scheme they prefer, it is found that
146 respondents (31.6 percent) prefer open ended schemes, 96 respondents (20.7
percent) respondents prefers close ended schemes and both schemes are preferred by
47.7 percent respondents (n=221).
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High risk is preferred by 14 percent respondents (n=65), medium risk is preferred by
53.8 percent respondents while low risk is preferred by 149 respondents (32.2
percent).
Table 6.2 also shows that, while distributing respondents based on preference of
duration of investment 53 respondents (11.5 percent) prefer to invest for less than one
year, 37.6 percent respondents (n=174) prefer to invest for 1-3 years, 30 percent of
respondents (n=139) prefer to invest for 3-5 years, 12.3 percent of respondents (n=57)
prefer to invest for 5-7 years while 40 respondents (8.6 percent) prefer to invest for
more than 7 years.
On the whole, sample respondents were more dominated by male, almost 90 percent
belong to middle and upper middle age group; between 21-50, have higher levels of
education (graduate and postgraduate), with moderate family size, and with 64
percent married (n=297) and 36 percent unmarried (n=164). Majority of the
respondent 56.6 percent (n=262) were salaried employee followed by
businessman/self-employed 27.4 percent (n=127). Of the total respondent almost 90
percent were having their own house and almost 30 percent of the respondents
monthly income was more than 25000 while majority respondent; almost 80 percent
(n= 375) were investing less than Rs. 10000 per month in mutual funds.
Respondent tends to choose online and offline method of investment. Respondents are
equality distributed as far as preference of method of investment is concern. For
preference of scheme, higher proportion of respondent prefers to invest in both open
ended and close ended schemes. It is also evident from the table 6.2 that majority of
respondents (86 percent) are medium or low risk takers and higher proportion of
respondents (67 percent) prefers to invest for short to medium term (1-5 years) in
mutual funds.
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218 D a t a A n a l y s i s a n d I n t e r p r e t a t i o n
6.4 Cross Tabulation
Bivariate analysis examines the relationship between two variables. Different methods
for analyzing bivariate analysis are available, of which cross tabulation is one of the
important and frequently used methods. A cross tabulation counts the number of
observations in each cross category of two variables. The descriptive result of a cross
tabulation is a frequency count for each cell in the analysis. Following section deals
with analysis of bivariate data using cross tabulation method.
Table – 6.3 – Cross Tabulation for Gender * Age of Respondents
Age Total
21-30 31-40 41-50 51-60 More than 60
Gender Male 132 98 76 35 7 348
Female 63 34 12 6 0 115
Total 195 132 88 41 7 463
Table 6.3 shows cross tabulation between gender and age of the respondents. It can be
seen from table 6.3 that majority of the respondents were male and were belong to the
age of 21 to 50 (88 percent) , while in case of female majority of respondents belong
to the age of 21 to 40 (85 percent). From the total respondents (n=463), 75 percent
(n=348) were male and 25 percent (n=115) were female.
Table 6.4 – Cross Tabulation for Gender * Education of Respondents
Education
Total
School Graduate
Post-
Graduate Professional Doctorate Others
Gender Male 33 125 134 47 6 3 348
Female 7 31 61 14 2 0 115
Total 40 156 195 61 8 3 463
Cross tabulation of respondents based on gender and education status reveals that,
from the total male respondents 38 percent (n=134) were post graduate, 36 percent
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(n=125) were graduate and 14 percent respondents possess professional qualifications.
Majority of female respondents 53 percent (n=61) were post graduate followed by
graduate n=31 (27 percent) and professional qualification n=14 (12 percent). It can be
concluded that from the total respondents, majority of them were literate and possess
more than graduation qualification.
Table – 6.5 Cross Tabulation for Gender * Family Size of Respondents
Family Size
Total
1 Person 2-3 Persons 4-5 Persons
More than
5 Persons
Gender Male 8 100 187 53 348
Female 0 37 58 20 115
Total 8 137 245 73 463
Based on table 6.5 for cross tabulation, it is found that majority of male respondents
(n=187) belong to moderate family size consisting 4-5 members and 53 male were
belong to family size consisting more than 5 members. In case of female, higher
proportion were belong to the family size of 4-5 members (n=58). Overall it can be
said from table 6.5 that from the total respondents 68 percent (n=318), were belongs
to the typical Indian moderate family size which consists more than 4 members.
Table – 6.6 – Cross Tabulation for Gender * Employment Status of Respondents
Employment Status
Total
Salaried
Businessman/
Self-
employed Housewife Student Retired Unemployed
Gender Male 177 115 1 31 17 7 348
Female 85 12 11 5 0 2 115
Total 262 127 12 36 17 9 463
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While distributing respondents based on gender and their employment status, it was
found that higher proportion in male and female both belongs to salaried employee
category. In male category, almost 84 percent (n=292) were belong to salaried and
businessman/self-employed category. Besides, almost 84 percent respondents
(n=389) in male and female category both belong to salaried and businessman
category. In all it can be said that majority of respondents belong to salaried and self-
employed category.
Table – 6.7 – Cross Tabulation for Gender * Monthly Income of Respondents
Monthly Income
Total
Less than
10000
10001 to
15000
15001 to
20000
20001 to
25000
More than
25000
Gender Male 51 51 76 64 106 348
Female 30 18 23 21 23 115
Total 81 69 99 85 129 463
When classifying respondents based on monthly income with respect to their gender
category, it was found that in male category respondents earning more than 25000
income per month were high in numbers (n=106), while other income group is almost
equally distributed with their respective income. In female category there is a not vast
difference between different income categories. Overall in male and female category
both respondents who have earned more than 15000 in a month were high in numbers.
Table – 6.8 – Cross Tabulation for Gender * Monthly Investment of Respondents
Monthly Investment
Total
Less than
5000
5001 to
10000
10001 to
15000
15001 to
20000
More than
20000
Gender Male 186 92 47 10 13 348
Female 71 26 15 1 2 115
Total 257 118 62 11 15 463
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221 D a t a A n a l y s i s a n d I n t e r p r e t a t i o n
Though the majority respondents belongs to the income group of more than 25000 as
seen in table no 6.7, the investment in mutual funds is less than 5000 in almost 50
percent cases. Further of the total male respondents almost 80 percent (n=278)
respondents invest less than Rs. 10000 in mutual funds. In case of female also; almost
85 percent (n=97) invest less than Rs. 10000 in mutual funds.
Table – 6.9 – Cross Tabulation for Age * Employment Status of Respondents
Employment Status
Total
Salaried
Businessman/
Self-
employed Housewife Student Retired Unemployed
Age 21-30 128 22 4 34 0 7 195
31-40 76 49 4 1 1 1 132
41-50 36 45 3 1 2 1 88
51-60 22 10 1 0 8 0 41
More than 60 0 1 0 0 6 0 7
Total 262 127 12 36 17 9 463
From the table 6.9 it can be seen that high proportion of respondents consists salaried
employee. Further, almost 50 percent of salaried employee belong to the age category
of 21-30 years, while remaining 50 percent salaried employee belong to the age
category between 31-60 years. Second category employees are businessman which
includes 27 percent of respondent. The portion of housewife, student, retired
employee and unemployed category includes less than 10 percent respondent in each
category and their portion in each category is very nominal.
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Table – 6.10 - Cross Tabulation for Age * Monthly Income of Respondents
Monthly Income
Total
Less than
10000
10001 to
15000
15001 to
20000
20001 to
25000
More than
25000
Age 21-30 61 38 47 24 25 195
31-40 9 14 24 33 52 132
41-50 7 9 20 15 37 88
51-60 2 6 6 12 15 41
More
than 60 2 2 2 1 0 7
Total 81 69 99 85 129 463
Cross tabulation of monthly income with age reveals that 61 respondents earn less
than 10000 in a month belong to the age category of 21-30. In the same age category
respondents who belong 10001 to 15000, 15001 to 20000, 20001 to 25000 and more
than 25000 income groups were 38, 47, 24 and 25 respectively in numbers. In the age
category of 31-40 the respondents whose income was less than 10000, 10001 to
15000, 15001 to 20000, 20001 to 25000 and more than 25000 income group were 9,
14, 24, 33 and 52 respectively in numbers. Overall it can be said that majority of
respondents were belong to the age group of 21-40.
Table – 6.11 – Cross Tabulation for Age * Monthly Investment of Respondents
Monthly Investment
Total
Less than
5000
5001 to
10000
10001 to
15000
15001 to
20000
More than
20000
Age 21-30 136 39 15 2 3 195
31-40 60 43 20 1 8 132
41-50 37 23 20 6 2 88
51-60 19 11 7 2 2 41
More
than 60 5 2 0 0 0 7
Total 257 118 62 11 15 463
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Though the income of majority of respondents was more than 15000 per month; the
investment in mutual funds is less than 5000 in 55 percent cases. Further, those who
belong to age group between 21-30, invest less than 5000 in 70 percent cases (n=136).
Respondents in the age group of 21-30 consist 136, 39, 15, 2 and 3 respondents who
invest less than 5000, 5001 to 10000, 10001 to 15000, 15001 to 20000 and more than
20000 in a month respectively. In the age group of 31-40, total 132 respondents are
included. From the total respondents in the same group 60 respondents invest less
than 5000, 43 invest between 5001 to 10000, 20 invest 10001 to 15000, 01 invest
15001 to 20000 and 8 respondents invest more than 20000 in a month in mutual
funds. The proportion of age group 41-50, 51-60 and more than 60 includes 88, 41
and 7 respondents respectively who belong to different investment category.
6.5 Chi– Square Test
The purpose of chi-square test is to show the relationship or lack of relationship
between two variables. It is used to test the statistical significance of the observed
association in a cross tabulation (Malhotra, 2009). It assists in determining whether a
systematic association exists between the two variables. The test is conducted by
computing the cell frequencies that would be expected if no association were present
between the variables, given the existing row and column totals. A number of tests are
available to determine if the relationship between two cross-tabulated variables is
significant. One of the common tests is chi-square test. In present research to study
the association between two variables chi-square statistics has been used. For below;
all hypotheses test were performed at 5 percent level of significance.
6.5.1 Association between Gender of Respondents and Method of Investment in
Mutual Funds
Hypothesis
H0 There is no significant association between gender of respondents and method
of investment in mutual funds.
H1 There is significant association between gender of respondents and method of
investment in mutual funds.
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Table – 6.12 – Association between Gender of Respondents * Method of
Investment
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 3.928 2 .140
Likelihood Ratio 3.904 2 .142
Linear-by-Linear Association .017 1 .897
N of Valid Cases 463
Table 6.12 present the output of chi-square test. The person chi square value is 0.140
at 2 degrees of freedom, which is more than cut of value 0.05 at 95 percent confidence
level. Therefore, null hypothesis is accepted and hence it can be said that there is no
association between gender of the respondents and their method of investment. It can
be also said that gender and method of investment are independent.
6.5.2 Association between Age of Respondents and Method of Investment in
Mutual Funds
Hypotheses
H0 There is no significant association between age of respondents and method
of investment in mutual funds.
H1 There is significant association between age of respondents and method of
investment in mutual funds.
Table – 6.13 – Association between Age of Respondents * Method of Investment
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 12.076 8 .148
Likelihood Ratio 13.276 8 .103
Linear-by-Linear Association .462 1 .497
N of Valid Cases 463
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Table 6.13 present the output of chi-square test. The Pearson Chi Square value is
0.148 at 8 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between age of the respondents and their method of
investment. It can be also said that age and method of investment, both are
independent of each other and are not significantly related.
6.5.3 Association between Education Level of Respondents and Method of
Investment in Mutual Funds
Hypotheses
H0 There is no significant association between education level of respondents and
method of investment in mutual funds.
H1 There is significant association between education level of respondents and
method of investment in mutual funds.
Table – 6.14 – Association between Education Level of Respondents * Method of
Investment
Chi-Square Tests
Value df Sig.
Pearson Chi-Square 8.084 10 .621
Likelihood Ratio 9.223 10 .511
Linear-by-Linear Association .024 1 .877
N of Valid Cases 463
Table 6.14 present the output of chi-square test. The Pearson Chi Square value is
0.621 at 10 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between education level of the respondents and their method of
investment. It can be also said that education level and method of investment are
independent.
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6.5.4 Association between Employment Status of Respondents and Method of
Investment in Mutual Funds
Hypotheses
H0 There is no significant association between employment status of respondents
and method of investment in mutual funds.
H1 There is significant association between employment status of respondents and
method of investment in mutual funds.
Table – 6.15 – Association between Employment Status of Respondents * Method
of Investment
Chi-Square Tests
Value df Sig.
Pearson Chi-Square 30.559 10 .001
Likelihood Ratio 31.250 10 .001
Linear-by-Linear Association 2.082 1 .149
N of Valid Cases 463
Table – 6.16 – Cramer’s V for Employment Status of Respondents * Method of
Investment
Value Sig.
Nominal by
Nominal
Phi .257 .001
Cramer’s V .182 .001
Contingency Coefficient .249 .001
N of Valid Cases 463
Table 6.15 present the output of chi-square test. The Pearson Chi Square value is
0.001 at 10 degrees of freedom, which is less than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis is rejected and hence it can be said that
there is an association between employment status of the respondents and their
method of investment. It can be also said that employment status and method of
investment are significantly related.
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Though in case of employment status and method of investment association is
statistically significant, the chi square test does not tell the strength or degree of
association. Strength of association or degree of association is of interest when the
association is statistically significant. The strength of association can be measured by
phi correlation coefficient, Cramers V, Contingency coefficient and the Lamda
Coefficient (Malhotra, 2009). It is used based on the properties of the variables. As
the row and column size are more than 2*2 Cramer’s V value has been considered for
further interpretation. The Cramer’s V value varies between 0 to +1. If it takes the
value of 0 when there is no association while +1 shows perfect positive association. A
large value of V merely indicates a high degree of association, but does not indicate
how the variables are associated. Here in this case the value for Cramer’s V is 18.2
(.182) which shows that the association is not very strong.
6.5.5 Association between Gender of Respondents and Type of Mutual Funds
Preferred
Hypotheses
H0 There is no significant association between gender of the respondents and type
of mutual funds preferred.
H1 There is significant association between gender of the respondents and type
of mutual funds preferred.
Table – 6.17 – Association between Gender of Respondents * Preference for
Mutual Funds Type
Chi-Square Tests
Value df Sig.
Pearson Chi-Square .060 2 .970
Likelihood Ratio .060 2 .970
Linear-by-Linear Association .006 1 .939
N of Valid Cases 463
Table 6.17 present the output of chi-square test. The Pearson Chi Square value is
0.970 at 2 degrees of freedom, which is more than cut of value 0.05 at 95 percent
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confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between gender of the respondents and preference for mutual
funds type. It can be also said that gender and preference of mutual funds type are
independent.
6.5.6 Association between Age of Respondents and Type of Mutual Funds
Preferred
Hypotheses
H0 There is no significant association between age of the respondents and type of
mutual funds preferred.
H1 There is significant association between age of the respondents and type of
mutual funds preferred.
Table – 6.18 – Association between Age of Respondents * Preference for Mutual
Funds Type
Chi-Square Tests
Value df Sig.
Pearson Chi-Square 7.000 8 .537
Likelihood Ratio 8.120 8 .422
Linear-by-Linear Association .548 1 .459
N of Valid Cases 463
Table 6.18 present the output of chi-square test. The Pearson Chi Square value is
0.537 at 8 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between age of the respondents and preference for mutual
funds type. It can be also said that age and preference for mutual funds type are
independent.
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6.5.7 Association between Education Level of Respondents and Type of Mutual
Funds Preferred
Hypotheses
H0 There is no significant association between education level of the respondents
and type of mutual funds preferred.
H1 There is significant association between education level of the respondents
and type of mutual funds preferred.
Table – 6.19 – Association between Education Level of Respondents * Preference
for Mutual Funds Type
Chi-Square Tests
Value df Sig.
Pearson Chi-Square 6.720 10 .752
Likelihood Ratio 7.018 10 .724
Linear-by-Linear Association 1.888 1 .169
N of Valid Cases 463
Table 6.19 present the output of chi-square test. The Pearson Chi Square value is
0.752 at 10 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between education level of the respondents and preference for
mutual funds type. It can be also said that education level and preference for mutual
funds type are independent.
6.5.8 Association between Employment Status of Respondents and Type of
Mutual Funds Preferred
Hypotheses
H0 There is no significant association between employment status of the
respondents and type of mutual funds preferred.
H1 There is significant association between employment status of the respondents
and type of mutual funds preferred.
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Table – 6.20 – Association between Employment Status of Respondents *
Preference for Mutual Funds Type
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 16.502 10 .086
Likelihood Ratio 17.380 10 .066
Linear-by-Linear Association 1.437 1 .231
N of Valid Cases 463
Table 6.20 present the output of chi-square test. The Pearson Chi Square value is
0.086 at 10 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between employment status of the respondents and preference
for mutual funds type. It can be also said that employment status and preference for
mutual funds type are independent.
6.5.9 Association between Monthly Income of Respondents and Type of Mutual
Funds Preferred
Hypotheses
H0 There is no significant association between monthly income of the respondents
and type of mutual funds preferred.
H1 There is significant association between monthly income of the respondents
and type of mutual funds preferred.
Table – 6.21 – Association between Monthly Income of Respondents * Preference
for Mutual Funds Type
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 13.934 8 .083
Likelihood Ratio 14.578 8 .068
Linear-by-Linear Association .233 1 .630
N of Valid Cases 463
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Table 6.21 present the output of chi-square test. The Pearson Chi Square value is
0.083 at 8 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between monthly income of the respondents and preference for
mutual funds type. It can be also said that monthly income and preference for mutual
funds type are independent.
6.5.10 Association between Monthly Investment of Respondents and Type of
Mutual Funds Preferred
Hypotheses
H0 There is no significant association between monthly investment of the
respondents and type of mutual funds preferred.
H1 There is significant association between monthly investment of the
respondents and type of mutual funds preferred.
Table – 6.22 – Association between Monthly Investment of Respondents *
Preference for Mutual Funds Type
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 9.807 8 .279
Likelihood Ratio 9.569 8 .297
Linear-by-Linear Association .242 1 .623
N of Valid Cases 463
Table 6.22 present the output of chi-square test. The Pearson Chi Square value is
0.279 at 8 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between monthly investment of the respondents and preference
for mutual funds type. It can be also said that monthly investment and preference for
mutual funds type are independent.
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6.5.11 Association between Gender of Respondents and Level of Risk Preferred
Hypotheses
H0 There is no significant association between gender of the respondents and
level of risk preferred.
H1 There is significant association between gender of the respondents and level
of risk preferred.
Table – 6.23 – Association between Gender of Respondents * Preference for Risk
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 2.327 2 .312
Likelihood Ratio 2.397 2 .302
Linear-by-Linear Association 2.245 1 .134
N of Valid Cases 463
Table 6.23 present the output of chi-square test. The Pearson Chi Square value is
0.312 at 2 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between gender of the respondents and level of risk preferred.
It can be also said that gender and preference for risk level are independent.
6.5.12 Association between Age of Respondents and Level of Risk Preferred
Hypotheses
H0 There is no significant association between age of the respondents and level of
risk preferred.
H1 There is significant association between age of the respondents and level
of risk preferred.
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Table – 6.24 – Association between Age of Respondents * Preference for Risk
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 13.584 8 .093
Likelihood Ratio 12.973 8 .113
Linear-by-Linear Association 3.761 1 .052
N of Valid Cases 463
Table 6.24 present the output of chi-square test. The Pearson Chi Square value is
0.093 at 8 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between age of the respondents and level of risk preferred. It
can be also said that age and preference for risk level are independent.
6.5.13 Association between Education Level of Respondents and Level of Risk
Preferred
Hypotheses
H0 There is no significant association between education level of the respondents
and level of risk preferred.
H1 There is significant association between education level of the respondents and
level of risk preferred.
Table – 6.25 – Association between Education Level of Respondents * Preference
for Risk
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 18.025 10 .055
Likelihood Ratio 18.764 10 .043
Linear-by-Linear Association 4.632 1 .031
N of Valid Cases 463
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Table 6.25 present the output of chi-square test. The Pearson Chi Square value is
0.055 at 10 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between education level of the respondents and level of risk
preferred. It can be also said that education level and preference for risk level are
independent.
6.5.14 Association between Employment Status of Respondents and Level of Risk
Preferred
Hypotheses
H0 There is no significant association between employment status of the
respondents and level of risk preferred.
H1 There is significant association between employment status of the respondents
and level of risk preferred.
Table – 6.26 – Association between Employment Status of Respondents *
Preference for Risk
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 15.930 10 .102
Likelihood Ratio 15.347 10 .120
Linear-by-Linear Association 6.606 1 .010
N of Valid Cases 463
Table 6.26 present the output of chi-square test. The Pearson Chi Square value is
0.102 at 10 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between employment status of the respondents and level of risk
preferred. It can be also said that employment status and preference for risk level are
independent.
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6.5.15 Association between Monthly Income of Respondents and Level of Risk
Preferred
Hypotheses
H0 There is no significant association between monthly income of the respondents
and level of risk preferred.
H1 There is significant association between monthly income of the respondents
and level of risk preferred.
Table – 6.27 – Association between Monthly Income * Preference for Risk
Chi-Square Tests
Value df Sig.
Pearson Chi-Square 23.248 8 .003
Likelihood Ratio 24.446 8 .002
Linear-by-Linear Association 4.104 1 .043
N of Valid Cases 463
Symmetric Measures
Value Sig.
Nominal by Nominal Phi .224 .003
Cramer’s V .158 .003
Contingency Coefficient .219 .003
N of Valid Cases 463
Table 6.27 present the output of chi-square test. The Pearson Chi Square value is
0.003 at 8 degrees of freedom, which is less than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis rejected and hence it can be said that
there is association between monthly income of the respondents and level of risk
preferred. It can be also said that monthly income and preference for risk level are
significantly related.
As the row and column size are more than 2*2, Cramer’s V value has been consider
to measure the degree or strength of association for further interpretation. Here in this
case the value for Cramer’s V is 15.8 (.158) which shows that the association is not
very strong.
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6.5.16 Association between Monthly Investment of Respondents and Level of
Risk Preferred
Hypotheses
H0 There is no significant association between monthly investment of the
respondents and level of risk preferred.
H1 There is significant association between monthly investment of the
respondents and level of risk preferred.
Table – 6.28 – Association between Monthly Investment of Respondents *
Preference for Risk
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 11.313 8 .185
Likelihood Ratio 11.674 8 .166
Linear-by-Linear Association 2.841 1 .092
N of Valid Cases 463
Table 6.28 present the output of chi-square test. The Pearson Chi Square value is
0.185 at 8 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between monthly investment of the respondents and level of
risk preferred. It can be also said that monthly investment and preference for risk level
are independent.
6.5.17 Association between Gender of Respondents and Duration of Investment
Hypotheses
H0 There is no significant association between gender of the respondents and
duration of investment in mutual funds.
H1 There is significant association between gender of the respondents and
duration of investment in mutual funds.
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Table – 6.29 – Association between Gender of Respondents * Duration of
Investment
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 8.484 4 .075
Likelihood Ratio 9.328 4 .053
Linear-by-Linear Association 1.738 1 .187
N of Valid Cases 463
Table 6.29 present the output of chi-square test. The Pearson Chi Square value is
0.075 at 4 degrees of freedom, which is more than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no association between gender of the respondents and preference for duration
of investment in mutual funds. It can be also said that gender and investment duration
preference are independent.
6.5.18 Association between Age of Respondents and Duration of Investment
Hypotheses
H0 There is no significant association between age of the respondents and
duration of investment in mutual funds.
H1 There is significant association between age of the respondents and duration of
investment in mutual funds.
Table – 6.30 – Association between Age of Respondents * Duration of Investment
Chi-Square Tests
Value df Sig.
Pearson Chi-Square 41.019 16 .001
Likelihood Ratio 41.213 16 .001
Linear-by-Linear Association 26.879 1 .000
N of Valid Cases 463
Symmetric Measures
Value Sig.
Nominal by Nominal Phi .298 .001
Cramer’s V .149 .001
Contingency Coefficient .285 .001
N of Valid Cases 463
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Table 6.30 present the output of chi-square test. The Pearson Chi Square value is
0.001 at 16 degrees of freedom, which is less than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis rejected and hence it can be said that
there is association between age of the respondents and duration of investment in
mutual funds. It can be also said that age and duration preference are significantly
related.
As the row and column size are more than 2*2, Cramer’s V value has been consider
to measure the degree or strength of association for further interpretation. Here in this
case the value for Cramer’s V is 14.9 (.149) which shows that the association is not
very strong.
6.5.19 Association between Employment Status of Respondents and Duration of
Investment
Hypotheses
H0 There is no significant association between employment status of the
respondents and duration of investment in mutual funds.
H1 There is significant association between employment status of the respondents
and duration of investment in mutual funds.
Table – 6.31 – Association between Employment Status of Respondents *
Duration of Investment
Chi-Square Tests
Value df Sig.
Pearson Chi-Square 39.831 20 .005
Likelihood Ratio 38.258 20 .008
Linear-by-Linear Association .689 1 .406
N of Valid Cases 463
Symmetric Measures
Value Sig.
Nominal by Nominal Phi .293 .005
Cramer’s V .147 .005
Contingency Coefficient .281 .005
N of Valid Cases 463
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Table 6.31 present the output of chi-square test. The Pearson Chi Square value is
0.005 at 20 degrees of freedom, which is equal to the cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis rejected and hence it can be said that
there is association between employment status of the respondents and duration of
investment in mutual funds. It can be also said that employment status and duration
preference are significantly related.
As the row and column size are more than 2*2, Cramer’s V value has been consider
to measure the degree or strength of association for further interpretation. Here in this
case the value for Cramer’s V is 14.7 (.147) which shows that the association is not
very strong.
6.5.20 Association between Monthly Income of Respondents and Duration of
Investment
Hypotheses
H0 There is no significant association between monthly income of the respondents
and duration of investment in mutual funds.
H1 There is significant association between monthly income of the respondents
and duration of investment in mutual funds.
Table – 6.32 – Association between Monthly Income of Respondents * Duration
of Investment
Chi-Square Tests
Value Df Sig.
Pearson Chi-Square 51.630 16 .000
Likelihood Ratio 51.170 16 .000
Linear-by-Linear Association 24.591 1 .000
N of Valid Cases 463
Symmetric Measures
Value Sig.
Nominal by Nominal Phi .334 .000
Cramer’s V .167 .000
Contingency Coefficient .317 .000
N of Valid Cases 463
Table 6.32 present the output of chi-square test. The Pearson Chi Square value is
0.000 at 16 degrees of freedom, which is less than cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis rejected and hence it can be said that
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there is association between monthly income of the respondents and duration of
investment in mutual funds. It can be also said that monthly income and duration
preference are significantly related.
As the row and column size are more than 2*2, Cramer’s V value has been consider
to measure the degree or strength of association for further interpretation. Here in this
case the value for Cramer’s V is 16.7 (.167) which shows that the association is not
very strong.
6.5.21 Association between Monthly Investment of Respondents and Duration of
Investment
Hypotheses
H0 There is no significant association between monthly investment of the
respondents and duration of investment in mutual funds.
H1 There is significant association between monthly investment of the
respondents and duration of investment in mutual funds.
Table – 6.33 – Association between Monthly Investment of Respondents *
Duration of Investment
Chi-Square Tests
Value df Sig.
Pearson Chi-Square 41.307 16 .001
Likelihood Ratio 43.257 16 .000
Linear-by-Linear Association 22.604 1 .000
N of Valid Cases 463
Symmetric Measures
Value Sig.
Nominal by Nominal Phi .299 .001
Cramer’s V .149 .001
Contingency Coefficient .286 .001
N of Valid Cases 463
Table 6.33 present the output of chi-square test. The Pearson Chi Square value is
0.001 at 16 degrees of freedom, which is less than the cut of value 0.05 at 95 percent
confidence level. Therefore, null hypothesis rejected and hence it can be said that
there is association between monthly investment of the respondents and duration of
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investment in mutual funds. It can be also said that monthly investment and duration
preference are significantly related.
As the row and column size are more than 2*2, Cramer’s V value has been consider
to measure the degree or strength of association for further interpretation. Here in this
case the value for Cramer’s V is 14.9 (.149) which shows that the association is not
very strong.
6.6 Friedman ANOVA Test
Friedman test is a nonparametric version of the randomized block design ANOVA. It
is used when the observations are more than paired; such each block or person is
assigned to all treatments (Malhotra, 2009). Since the Friedman test is based on ranks,
it is especially useful for testing treatment effects when the observations are in the
form of ranks; where ANOVA test cannot be used. When the assumption of normality
may not hold, Friedman test instead of the parametric ANOVA test is used.
6.6.1 Preference of Respondents for Source of Information about Mutual Funds
Hypotheses
H0 There is no significant difference in mean score of preferences given by
respondents for different source of information about mutual funds.
H1 There is significant difference in mean score of preferences given by
respondents for different source of information about mutual funds.
Table – 6.34 – Cross Tabulation for Source of Information * Gender of
Respondents
Gender
Total Source of information Male Female
Newspaper Advertisement 52 17 69
Agent 51 21 72
Bank 36 13 49
Financial Advisor 67 24 91
Stock Broker 40 11 51
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Internet 38 8 46
Friends 33 8 41
Relatives 11 5 16
Television 20 8 28
Count 348 115 463
Table 6.34 reveals that from the total sources of information available to retail
investor first preference given by both male and female respondents (n=91) is
financial advisor. In male category, second preference was given to newspaper
advertisement (n=52) followed by agent, stock broker, internet, bank, friends,
television and relatives respectively. While in female category second preference is
given to agent (n=21) followed by newspaper advertisement bank, stock broker and
relatives. There are equal preferences of female category in case of internet, friends
and television. In both male and female categories; first preference was given to
financial advisor while seeking information about mutual funds.
Table – 6.35 – Mean Rank for Preference for Source of Information
Source of Information Mean Rank
Newspaper Advertisement 4.92
Agent 4.26
Bank 4.62
Financial Advisor 4.17
Stock Broker 4.80
Internet 5.19
Friends 5.15
Relatives 6.02
Television 5.86
Table – 6.36 – Friedman Test for Preference of Source of Information
N 463
Chi-Square 201.437
Df 8
Sig. .000
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Table 6.35 and 6.36 presents the output of Friedman ANOVA test. The Friedman test
value is 0.000 at 8 degrees of freedom, which is less than cut of value 0.05 at 95
percent confidence level. Therefore, null hypothesis is rejected and hence it can be
said that there is significance difference in mean score of preferences given by male
and female. Further from mean value analysis it is indicative that financial advisor
(mean rank = 4.17) is the most important and preferred source for collecting
information regarding mutual funds from the respondent view point followed by
Agent (mean rank = 4.26). The mean rank (6.02) of the source relatives is highest, so
it can be said that relatives are the least reliable and preferred source of information
from the respondent point of view.
6.6.2 Preference of Respondents for Different Mutual Funds Schemes
Hypotheses
H0 There is no significant difference in mean score of preferences given by
respondents for different schemes of mutual funds.
H1 There is significant difference in mean score of preferences given by
respondents for different schemes of mutual funds.
Table – 6.37 – Cross Tabulation for Preference of Schemes * Education Level of
Respondents
Education
Different
mutual funds
schemes School Graduate
Post-
Graduate Professional Doctorate Others Total
Regular / Debt
Schemes 7 26 49 16 2 2 102
Growth
Schemes 13 66 61 15 3 1 159
Balanced
Schemes 8 14 33 9 1 0 65
Liquid Schemes 4 22 23 5 0 0 54
Tax Savings
Schemes 8 28 30 16 2 0 84
Total 40 156 195 61 8 3 463
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Table 6.37 shows respondents preferences for different mutual funds schemes. It can
be seen that 34 percent respondents (n=159) preferred to opt growth schemes
followed by regular and debt schemes 22 percent (n=102). It can be further seen that
regular/debt and growth schemes are more preferred by graduate and post graduate
respondents compare to school level education and professional or doctorate level
education. Further it can be seen that balanced schemes and liquid schemes have been
given least preference by respondents 14 percent and 12 percent respectively. Further
it can be said that graduate and post graduate respondents prefer to opt for different
types of schemes.
Table – 6.38 – Mean Rank for Preference of Mutual Funds Schemes
Ranks
Different Mutual funds Schemes Mean Rank
Regular / Debt Schemes 2.88
Growth Schemes 2.56
Balanced Schemes 3.00
Liquid Schemes 3.49
Tax Savings Schemes 3.06
Table – 6.39 – Friedman Test for Preference of Mutual Funds Schemes
N 463
Chi-Square 84.528
Df 4
Sig. .000
Table 6.38 and 6.39 presents the output of Friedman ANOVA test for the preference
of schemes. The Friedman test value is 0.000 at 4 degrees of freedom, which is less
than cut of value 0.05 at 95 percent confidence level. Therefore, null hypothesis is
rejected and hence it can be said that there is significance difference in mean score of
preferences given by respondents. Further from mean value analysis it is indicative
that growth schemes (mean rank = 2.56) are the most important and preferred option
from different mutual funds schemes available from the respondent view point;
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followed by regular/debt schemes (mean rank = 2.88). The mean rank (3.49) of the
liquid schemes is highest, so it can be said that liquid schemes are the least preferred
source of information from the respondents point of view.
6.6.3 Preference of Respondents for Different Sponsors Mutual Funds.
Hypotheses
H0 There is no significant difference in mean score of preferences given by
respondents for different sponsors of mutual funds.
H1 There is significant difference in mean score of preferences given by
respondents for different sponsors of mutual funds.
Table – 6.40 – Cross Tabulation for Sponsorship * Gender of Respondents
Gender
Sponsorship of mutual funds Male Female Total
Corporate House 77 20 97
Financial Institutions 87 26 113
Public Sector Banks 115 53 168
Private Sector Banks 69 16 85
Total 348 115 463
Table 6.40 shows respondents preferences for sponsorship of different mutual funds.
It can be seen that both the category of respondents; (male and female) (n=168) (36
percent) first priorities mutual funds sponsored by public sector banks. Second
preference (n=113) (24 percent) for sponsorship of mutual funds in both male and
female category is financial institutions. Private sector banks are the least preferred
option among respondents of both the category. Overall it can be said that almost 61
percent of respondents (n=281) prefer to invest in mutual funds schemes sponsored by
public sector banks and financial institutions.
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Table – 6.41 – Mean Rank for Preference of Sponsors of Mutual Funds
Ranks
Mean Rank
SP1 2.65
SP2 2.40
SP3 2.23
SP4 2.72
Table – 6.42 – Friedman Test for Preference of Sponsors of Mutual Funds
N 463
Chi-Square 43.276
Df 3
Sig. .000
Table 6.41 and 6.42 presents the output of Friedman ANOVA test for the preference
of mutual funds sponsors. The Friedman test value is 0.000 at 3 degrees of freedom,
which is less than cut of value 0.05 at 95 percent confidence level. Therefore, null
hypothesis is rejected and hence it can be said that there is significance difference in
mean score of preferences given by respondents. Further from mean value analysis it
is indicative that public sector banks (mean rank = 2.23) are the most important and
preferred sponsors from different mutual funds sponsors available; followed by
financial institutions (mean rank = 2.40). The mean rank (2.72) of the private sector
banks sponsor is highest, so it can be said that private sector banks mutual funds are
the least preferred sponsors from the respondents point of view.
6.6.4 Preference of Respondents for Different Investment Avenues
Hypotheses
H0 There is no significant difference in mean score of preferences given by
respondents for different investment avenues.
H1 There is significant difference in mean score of preferences given by
respondents for different investment avenues.
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Table – 6.43 – Cross Tabulation for Preference of Investment * Gender of
Respondents
Gender
Source of Information Male Female Total
Shares 70 24 94
Debentures and Bonds 20 6 26
Government Bills and Bonds 25 4 29
Bank Deposits 59 21 80
Post Office Deposits 29 10 39
Provident Fund 15 11 26
Insurance Schemes 22 3 25
Mutual funds 34 12 46
Commodity and FOREX Market 10 1 11
Real Estate 33 6 39
Gold and Silver 33 18 51
Total 348 115 463
Table 6.43 shows respondents preferences for different investment avenues available
for investment. It can be seen that both the categories of respondents (male and
female) (n=94) choose shares as first preference for investment. Second preference
(n=80) for preference of investment in both male and female category is bank
deposits. Mutual funds have been given fourth rank among different investment
avenues. From the analysis, it can be said that after investment in shares, respondents
prefers to invest in traditional investment avenues. But from the overall analysis it can
also be said that different investors have different priorities based on investment
objectives.
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Table – 6.44 – Mean Rank for Preference of Investment Avenues
Ranks
Mean Rank
Shares 4.60
Debentures and Bonds 6.30
Government Bills and Bonds 6.02
Bank Deposits 5.13
Post Office Deposits 5.73
Provident Fund 6.05
Insurance Schemes 6.47
Mutual funds 5.56
Commodity and FOREX Market 7.81
Real Estate 6.85
Gold and Silver 5.49
Table – 6.45 – Friedman Test for Preference for Investment Avenues
N 463
Chi-Square 317.885
Df 10
Sig. .000
Table 6.44 and 6.45 presents the output of Friedman ANOVA test for different
investment avenues. The Friedman test value is 0.000 at 10 degrees of freedom, which
is less than cut of value 0.05 at 95 percent confidence level. Therefore, null
hypothesis is rejected and hence it can be said that there is significance difference in
mean score of preferences given by respondents. Further, from mean value analysis it
is indicative that shares (mean rank = 4.60) are the most preferred investment avenues
from different avenues available; followed by bank deposits and gold and silver
(mean rank = 5.13 and 5.49) respectively. Mutual funds stand fourth in a queue of
preference of investment. The mean rank (7.81) for commodity and FOREX market is
highest, so it can be said that it is a least preferred investment avenues from the
respondent point of view.
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6.7 Factor Analysis
The major objective of research is to study the factors affecting awareness,
opportunities and problems for investment in mutual funds. To fulfill the objectives,
in-depth literature review was conducted and sixty three variables were identified.
Since it is not possible for companies to concentrate on all sixty three variables; data
are to be presented in summarized format; so decisions can be taken to increase
awareness, identify opportunities of and threats to investment in mutual funds. To
fulfill the objective and to reduce and summarized data, researcher found factor
analysis techniques as most suitable technique.
Factor analysis is an interdependence technique whose primary purpose is to define
the underlying structure among the variables in the analysis (Hair et. al. 2009).
According to Hair et. al. (2009), factor analysis is a multivariate statistical technique
that is used to summarize the information contained in a large number of variables
into a smaller number of subsets or factors. Factor analysis provides the tools for
analyzing the structure of the interrelationships or correlations among a large number
of variables by defining sets of variables that are highly interrelated, known as factors.
According to Luck et. al. (2007), factor analysis seeks to identify a set of dimensions
that is not readily observed in a large set of variables. According to Chawla et. al.
(2011), factor analysis is a multivariate statistical technique in which no distinction
between dependent and independent variables is considered. In factor analysis, all
variables under investigation are analyzed together to extract the underlined factors.
According to Malhotra (2009), factor analysis can be used to identify underlying
dimensions, or factor, that explain the correlations among a set of variables, to
identify a new, smaller set of uncorrelated variables to replace the original set of
correlated variables in subsequent multivariate analysis and to identify a smaller set of
salient variables from a larger set for use in subsequent multivariate analysis. For
present study factor analysis is used to reduce the number of variables that (1) Help to
increase awareness of mutual funds among retail investors (2) Provide key variables
preferred by respondents as opportunities for investing in mutual funds and (3)
Extract key factors that prevent respondents for investing in mutual funds.
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6.8 Factor Analysis for Awareness about Mutual Funds.
6.8.1 Bartlett Test of Sphericity
To ensure that the data matrix has sufficient correlations to justify the application of
factor analysis and in order to establish the strength of the factor analysis solution it is
essential to establish the reliability and validity of the obtained reduction. It is done by
KMO and Bartlett test of sphericity (Hair et. al. 2009). Bartlett test of sphericity is a
test statistic used to examine the hypothesis that the variables are uncorrelated in the
population. In other words, the population correlation matrix is an identify matrix
where each variable correlates perfectly with itself but has no correlation with other
variables (Malhotra, 2009).
Table – 6.46 – KMO and Bartlett’s Test for Awareness Variable
Kaiser-Meyer-Olkin Measure of Sampling Adequacy. .917
Bartlett's Test of Sphericity Approx. Chi-Square 3430
Df 231
Sig. .000
Table 6.46 shows significant value of Bartlett’s Test of Sphericity 0.000 that satisfies
necessary condition to reject null hypothesis. It indicates that variables are correlated
with itself but has no correlation with other variables. A statistically significant
Bartlett’s Test of Sphericity (0.000) indicates that sufficient correlations exist among
the variables to proceed for factor analysis.
6.8.2 Measures of Sampling Adequacy (MSA)
Kaiser-Meyer-Olkin (KMO) measure of sampling adequacy is an index used to
examine the appropriateness of factor analysis. It compares the magnitudes of the
observed correlation coefficients to the magnitudes of the partial correlation
coefficients (Malhotra, 2009). The value of KMO varies between 0 to 1. Small values
of KMO indicate that correlation between pairs of variables cannot explained by other
variables. Its value must exceed .50. The measure can be interpreted as meritorious if
it carries a value of .80 or above. In table 6.46 the value of KMO stands 0.917 which
shows the appropriateness of factor analysis for present study.
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6.8.3 Anti-Image Correlation Matrix
The analytical process is based on a matrix of correlations between the variables. For
factor analysis to be appropriate, the variables must be correlated. If the correlations
between all the variables are small, factor analysis may not be appropriate. The
variables with the value less that 0.5 should be omitted from the analysis one by one,
with the smallest being omitted first.
Table – 6.47 - Anti Image Correlation Matrix for Awareness
A1 A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22
A1 .854 -.519 -.223 .021 .027 -.164 .056 .023 -.034 -.135 .025 .081 -.076 -.131 -.077 .116 -.099 -.064 .098 -.013 .009 -.062
A2 -.519 .874 .028 -.104 -.035 -.016 -.086 -.112 .022 .048 -.054 -.027 .059 .036 -.003 -.047 .099 -.091 -.099 .008 -.042 -.007
A3 -.223 .028 .891 -.337 -.150 .136 -.065 .006 -.107 .002 -.021 -.047 .070 .021 -.090 -.100 .026 -.025 -.054 -.007 .036 -.028
A4 .021 -.104 -.337 .895 -.143 -.053 -.042 .001 .081 .000 -.095 -.059 -.040 -.060 .041 -.092 .037 .082 -.088 .008 -.019 .056
A5 .027 -.035 -.150 -.143 .924 -.174 -.103 .059 -.005 -.110 -.048 .011 -.091 .032 .017 -.069 -.052 -.059 -.006 .039 .083 .031
A6 -.164 -.016 .136 -.053 -.174 .882 -.179 -.172 -.105 .140 .004 -.123 .033 .008 -.019 -.002 .065 -.241 .042 -.127 -.041 .091
A7 .056 -.086 -.065 -.042 -.103 -.179 .939 -.222 -.069 -.062 -.060 .052 -.029 .000 -.021 .007 -.040 .004 .010 -.020 -.159 .003
A8 .023 -.112 .006 .001 .059 -.172 -.222 .898 -.174 -.089 -.044 -.059 .026 -.051 .009 -.004 .040 .071 -.229 -.051 .131 .030
A9 -.034 .022 -.107 .081 -.005 -.105 -.069 -.174 .936 -.162 -.044 -.043 .094 .072 -.082 -.049 .030 -.019 -.053 -.051 -.085 -.081
A10 -.135 .048 .002 .000 -.110 .140 -.062 -.089 -.162 .933 -.214 -.124 .038 -.057 -.011 -.023 -.021 -.029 -.018 -.031 -.110 -.008
A11 .025 -.054 -.021 -.095 -.048 .004 -.060 -.044 -.044 -.214 .954 -.133 -.093 -.021 -.135 -.029 -.037 .033 -.008 -.035 .003 -.043
A12 .081 -.027 -.047 -.059 .011 -.123 .052 -.059 -.043 -.124 -.133 .936 -.180 -.122 -.037 .041 -.036 -.161 .028 .042 -.024 -.055
A13 -.076 .059 .070 -.040 -.091 .033 -.029 .026 .094 .038 -.093 -.180 .923 -.159 -.098 -.009 -.048 .022 -.079 -.085 -.063 -.116
A14 -.131 .036 .021 -.060 .032 .008 .000 -.051 .072 -.057 -.021 -.122 -.159 .935 -.061 -.170 -.116 -.094 .019 .043 -.116 .007
A15 -.077 -.003 -.090 .041 .017 -.019 -.021 .009 -.082 -.011 -.135 -.037 -.098 -.061 .956 -.159 -.056 -.056 .019 -.063 -.018 .050
A16 .116 -.047 -.100 -.092 -.069 -.002 .007 -.004 -.049 -.023 -.029 .041 -.009 -.170 -.159 .916 -.249 .050 -.058 -.068 -.007 -.022
A17 -.099 .099 .026 .037 -.052 .065 -.040 .040 .030 -.021 -.037 -.036 -.048 -.116 -.056 -.249 .914 .026 -.079 -.104 -.066 -.141
A18 -.064 -.091 -.025 .082 -.059 -.241 .004 .071 -.019 -.029 .033 -.161 .022 -.094 -.056 .050 .026 .922 -.220 -.119 -.003 -.060
A19 .098 -.099 -.054 -.088 -.006 .042 .010 -.229 -.053 -.018 -.008 .028 -.079 .019 .019 -.058 -.079 -.220 .925 -.098 -.007 -.103
A20 -.013 .008 -.007 .008 .039 -.127 -.020 -.051 -.051 -.031 -.035 .042 -.085 .043 -.063 -.068 -.104 -.119 -.098 .955 -.091 -.107
A21 .009 -.042 .036 -.019 .083 -.041 -.159 .131 -.085 -.110 .003 -.024 -.063 -.116 -.018 -.007 -.066 -.003 -.007 -.091 .918 -.229
A22 -.062 -.007 -.028 .056 .031 .091 .003 .030 -.081 -.008 -.043 -.055 -.116 .007 .050 -.022 -.141 -.060 -.103 -.107 -.229 .921
Table 6.47 indicates that all the variables have diagonal value more than 0.5. Thus,
factor analysis may be considered an appropriate technique for analyzing the
correlation matrix.
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6.8.4 Method of Factor Analysis
Once it has been determined that factor analysis is an appropriate technique for
analyzing the data, an appropriate method must be selected. The approach used to
derive the weight or factor score coefficients differentiates the various methods of
factor analysis. Common factor analysis is most appropriate when the primary
objective is to identify the latent dimensions or constructs represented in the original
variables while principle component is most appropriate when data reduction is a
primary concern, focusing on the minimum number of factors needed to account for
the maximum portion of the total variance represented in the original set of variables
(Hair et. al. 2009). As the primary purpose of this study is to reduce data, principle
component analysis method has been selected for further analysis.
6.8.5 Method of Factor Rotation
Unrotated factor solutions achieve the objective of data reduction but it does not
provide information that offers the most adequate interpretation of the variables under
examination. Therefore rotational method requires to achieve simpler and
theoretically more meaningful factor solutions.
The most important tool in interpreting factors is factor rotation. The term rotation
means, the reference axes of the factors are turned about the origin until some other
position has been reached. As indicated above, unrotated factor solutions extract
factors in the order of their variance extracted. The first factor tends to be a general
factor with almost every variable loading significantly, and it accounts for the largest
amount of variance. The second and subsequent factors are portions of variance. The
ultimate effect of rotating the factor matrix is to redistribute the variance from earlier
factors to later ones to achieve a simpler, theoretically more meaningful factor pattern.
Rotation of factors improves the interpretation by reducing some of the ambiguities
that often accompany initial unrotated factor solutions. The ultimate goal of any
rotation is to obtain some theoretically meaningful factors and, if possible, the
simplest factor structure. The major option available for rotation method is to choose
an orthogonal or oblique rotation method.
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Orthogonal rotational approaches are more widely used because all computer
packages with factor analysis contain orthogonal rotation options, whereas the oblique
methods are not as widespread. Orthogonal rotations are also utilized more frequently
because the analytical procedures for performing oblique rotations are not as well
developed and are still subject to some controversy. So, in this research researcher has
used orthogonal rotation method for further analysis.
Three different approaches Quartimax, Equimax and Varimax are available for
performing orthogonal rotations. The ultimate goal of a quartimax rotation is to
simplify the rows of a factor matrix, that is, quartimax focuses on rotation of the
initial factor so that a variable loads high on one factor and as low as possible on all
other factors. The quartimax method has not proved especially successful in
producing simpler structures. Its difficulty is that it tends to produce a general factor
as the first factor on which most of the variables have high loadings.
In contrast of quartimax, the varimax criterion centers on simplifying the columns of
the factor matrix. With the varimax rotational approach, the maximum possible
simplification is reached if there are only 1 and 0 in a column. That is, the varimax
method maximizes the sum of variances of required loadings of the factor matrix. In
quartimax, many variables can load high or near high on the same factor because the
technique centers on simplifying the rows, while in varimax, some high loadings are
close to -1 to +1, as some loading near 0 in each column of the matrix. The logic is
that interpretation is easiest when the variable factor correlations are close to +1 or -1
indicating a clear positive or negative association between the variable and the factor,
where 0 indicating clear lack of association. This structure is fundamentally simple. In
general, Kaiser’s experiment indicates that the factor pattern obtained by varimax
rotation tends to be more invariant than that obtained by the quartimax method when
different subsets of variables are analyzed. The varimax method has proved successful
as an analytic approach to obtaining an orthogonal rotation of factors. So, in this study
researcher has used varimax method for factor rotation.
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The equimax approach is a compromise between the quartimax and varimax
approaches. Rather than concentrating either on simplification of the rows or on
simplification of the columns, it tries to accomplish some of each. Equimax has not
gained wide spreads acceptance and is used infrequently.
6.8.6 Communalities
Common variance is defined as that variance in a variable that is shared with all other
variables in the analysis. This variance is accounted for, based on variable’s
correlations with all other variables in the analysis. A variable’s communality is the
estimate of its shared or common variance among the variables as represented by the
derived factors (Hair et. al .2009). The size of the communality is a useful index for
assessing how much variance in a particular variable is accounted for by the factor
solution. Higher communality values indicate that a large amount of the variance in a
variable has been extracted by the factor solution. Low communality figure indicates
that the variable is statistically independent and cannot be combined with other
variables. Although no statistical guidelines indicate exactly what is large or small,
practical considerations dictate a lower level of .50 for communalities in this analysis
(Hair et. al .2009).
Table – 6.48 – Communality Statistics for Awareness Variable
Variables Initial Extraction
A1 1.000 .695
A2 1.000 .663
A3 1.000 .589
A4 1.000 .610
A5 1.000 .451
A6 1.000 .569
A7 1.000 .503
A8 1.000 .603
A9 1.000 .557
A10 1.000 .442
A11 1.000 .466
A12 1.000 .392
A13 1.000 .471
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A14 1.000 .499
A15 1.000 .377
A16 1.000 .531
A17 1.000 .521
A18 1.000 .551
A19 1.000 .410
A20 1.000 .453
A21 1.000 .460
A22 1.000 .490
Table 6.48 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.377) of A15 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
Table – 6.49 – Communality Statistics for Awareness Variable When A12
Variable is deleted
Variable Initial Extraction
A1 1.000 .695
A2 1.000 .663
A3 1.000 .590
A4 1.000 .627
A5 1.000 .458
A6 1.000 .571
A7 1.000 .503
A8 1.000 .602
A9 1.000 .558
A10 1.000 .445
A11 1.000 .462
A12 1.000 .395
A13 1.000 .473
A14 1.000 .500
A16 1.000 .521
A17 1.000 .526
A18 1.000 .551
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A19 1.000 .412
A20 1.000 .453
A21 1.000 .465
A22 1.000 .500
Table 6.49 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.395) of A12 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
Table – 6.50 – Communality Statistics for Awareness Variable When A19
Variable is deleted
Variables Initial Extraction
A1 1.000 .723
A2 1.000 .683
A3 1.000 .589
A4 1.000 .626
A5 1.000 .462
A6 1.000 .566
A7 1.000 .506
A8 1.000 .605
A9 1.000 .553
A10 1.000 .446
A11 1.000 .463
A13 1.000 .448
A14 1.000 .487
A16 1.000 .522
A17 1.000 .536
A18 1.000 .538
A19 1.000 .414
A20 1.000 .464
A21 1.000 .477
A22 1.000 .515
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Table 6.50 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.414) of A19 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
Table – 6.51 – Communality Statistics for Awareness Variable When A13
Variable is deleted
Variables Initial Extraction
A1 1.000 .706
A2 1.000 .679
A3 1.000 .591
A4 1.000 .632
A5 1.000 .462
A6 1.000 .578
A7 1.000 .531
A8 1.000 .581
A9 1.000 .580
A10 1.000 .474
A11 1.000 .478
A13 1.000 .450
A14 1.000 .484
A16 1.000 .517
A17 1.000 .535
A18 1.000 .539
A20 1.000 .457
A21 1.000 .489
A22 1.000 .512
Table 6.51 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.450) of A13 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
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Table – 6.52 – Communality Statistics for Awareness Variable When A20
Variable is deleted
Variables Initial Extraction
A1 1.000 .733
A2 1.000 .695
A3 1.000 .599
A4 1.000 .631
A5 1.000 .471
A6 1.000 .588
A7 1.000 .543
A8 1.000 .596
A9 1.000 .542
A10 1.000 .468
A11 1.000 .478
A14 1.000 .461
A16 1.000 .537
A17 1.000 .566
A18 1.000 .533
A20 1.000 .458
A21 1.000 .507
A22 1.000 .534
Table 6.52 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.458) of A20 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
Table – 6.53 – Communality Statistics for Awareness Variable When A14
Variable is deleted
Variables Initial Extraction
A1 1.000 .732
A2 1.000 .694
A3 1.000 .602
A4 1.000 .643
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A5 1.000 .477
A6 1.000 .579
A7 1.000 .550
A8 1.000 .600
A9 1.000 .557
A10 1.000 .484
A11 1.000 .481
A14 1.000 .472
A16 1.000 .539
A17 1.000 .563
A18 1.000 .524
A21 1.000 .530
A22 1.000 .541
Table 6.53 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.472) of A14 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
Table – 6.54 – Communality Statistics for Awareness Variable When A09
Variable is deleted
Variables Initial Extraction
A1 1.000 .506
A2 1.000 .538
A3 1.000 .603
A4 1.000 .642
A5 1.000 .467
A6 1.000 .588
A7 1.000 .463
A8 1.000 .460
A9 1.000 .436
A10 1.000 .441
A11 1.000 .441
A16 1.000 .517
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A17 1.000 .562
A18 1.000 .463
A21 1.000 .533
A22 1.000 .557
Table 6.54 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.436) of A09 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
Table – 6.55 – Communality Statistics for Awareness Variable When A08
Variable is deleted
Variables Initial Extraction
A1 1.000 .533
A2 1.000 .568
A3 1.000 .599
A4 1.000 .628
A5 1.000 .467
A6 1.000 .597
A7 1.000 .457
A8 1.000 .427
A10 1.000 .431
A11 1.000 .445
A16 1.000 .521
A17 1.000 .565
A18 1.000 .499
A21 1.000 .550
A22 1.000 .574
Table 6.55 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.427) of A08 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
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Table – 6.56 – Communality Statistics for Awareness Variable When A07
Variable is deleted
Variances Initial Extraction
A1 1.000 .591
A2 1.000 .605
A3 1.000 .591
A4 1.000 .624
A5 1.000 .477
A6 1.000 .578
A7 1.000 .424
A10 1.000 .432
A11 1.000 .450
A16 1.000 .537
A17 1.000 .565
A18 1.000 .537
A21 1.000 .551
A22 1.000 .570
Table 6.56 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.424) of A07 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
Table – 6.57 – Communality Statistics for Awareness Variable When A10
Variable is deleted
Variances Initial Extraction
A1 1.000 .632
A2 1.000 .629
A3 1.000 .593
A4 1.000 .626
A5 1.000 .478
A6 1.000 .551
A10 1.000 .432
A11 1.000 .451
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A16 1.000 .537
A17 1.000 .565
A18 1.000 .556
A21 1.000 .545
A22 1.000 .576
Table 6.57 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.432) of A10 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
Table – 6.58 – Communality Statistics for Awareness Variable When A11
Variable is deleted
Variances Initial Extraction
A1 1.000 .632
A2 1.000 .631
A3 1.000 .598
A4 1.000 .633
A5 1.000 .478
A6 1.000 .552
A11 1.000 .425
A16 1.000 .564
A17 1.000 .595
A18 1.000 .558
A21 1.000 .546
A22 1.000 .596
Table 6.58 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.425) of A11 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
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Table – 6.59 – Communality Statistics for Awareness Variable When A05
Variable is deleted
Variances Initial Extraction
A1 1.000 .635
A2 1.000 .632
A3 1.000 .616
A4 1.000 .638
A5 1.000 .481
A6 1.000 .553
A16 1.000 .583
A17 1.000 .611
A18 1.000 .560
A21 1.000 .550
A22 1.000 .600
Table 6.59 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value (0.481) of A05 variable is below
than acceptable value of 0.5. Hence the variable is omitted from the list and the
process is developed once again. New value of Bartlett’s Test of Sphericity, KMO
(MSA) and Anti Image matrix is observed and revised communalities is extracted.
Table – 6.60 - KMO and Bartlett's Test for Awareness after Deleting Variables
Kaiser-Meyer-Olkin Measure of Sampling Adequacy. .805
Bartlett's Test of Sphericity Approx. Chi-Square 1248
df 45
Sig. .000
Table – 6.61 - Anti-image Matrices for Awareness Variable
A1 A2 A3 A4 A6 A16 A17 A18 A21 A22
Anti-image Correlation A1 .780 -.516 -.233 .028 -.155 .076 -.132 -.074 -.037 -.069
A2 -.516 .789 -.006 -.138 -.096 -.063 .094 -.126 -.041 -.021
A3 -.233 -.006 .797 -.392 .064 -.155 .002 -.076 .015 -.047
A4 .028 -.138 -.392 .791 -.105 -.135 -.011 .037 -.039 .032
A6 -.155 -.096 .064 -.105 .819 -.051 .034 -.339 -.081 .067
A16 .076 -.063 -.155 -.135 -.051 .807 -.340 -.018 -.065 -.055
A17 -.132 .094 .002 -.011 .034 -.340 .775 -.050 -.129 -.194
A18 -.074 -.126 -.076 .037 -.339 -.018 -.050 .850 -.061 -.134
A21 -.037 -.041 .015 -.039 -.081 -.065 -.129 -.061 .852 -.298
A22 -.069 -.021 -.047 .032 .067 -.055 -.194 -.134 -.298 .818
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Table – 6.62 – Communality Statistics for Awareness Variable after Deleting
Variables
Variances Initial Extraction
A1 1.000 .652
A2 1.000 .652
A3 1.000 .673
A4 1.000 .679
A6 1.000 .562
A16 1.000 .582
A17 1.000 .613
A18 1.000 .576
A21 1.000 .541
A22 1.000 .589
Table 6.62 shows the value of communality for each variable. It can be analyzed from
above table that the extracted communality value of all variables are more than
acceptable value of 0.5. It can be further analyzed that all variables holds diagonal
value more than 0.5. Hence, researcher can proceed further for analysis.
6.8.7 Eigenvalue and Total Variance Explained
Factor analysis aims at using small number of variables that still adequately represent
the entire set of variables. Thus the key question arise is how many factors to extract
or retain? In deciding how many factors to extract or how many factors should be in
the analysis, there is not any exact quantitative base has been developed till today.
However, following stopping criteria for the number of factors to extract are currently
being utilized (Hair et. al .2009).
6.8.7.1 Latent Root Criterion / Eigenvalue
The most commonly used technique is the latent root criterion. The rational for the
latent root criterion is that any individual factor should account for the variance of at
least a single variable if it is to be retained for interpretation. With principle
component analysis each variable contributes a value of 1 to the total eigenvalue.
Thus, only the factors having latent roots or eigenvalues greater than 1 is considered
significant. All factors with latent roots less than 1 are considered insignificant and
are disregarded.
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6.8.7.2 Total Variance Explained
The percentage of variance criterion is an approach based on achieving a specified
cumulative percentage of total variance extracted by successive factors. The purpose
is to ensure practical significance for the derived factors by ensuring that they explain
at least a specified amount of variance. No absolute threshold has been adopted for all
applications. However, in social sciences, where information is often less precise, it is
not uncommon to consider a solution that accounts for 60 percent of the total variance
as satisfactory when number of variables are between 20 to 50 (Hair et. al .2009).
Table – 6.63 - Total Variance Explained for Awareness Variable
Component
Initial Eigenvalues
Extraction Sums of
Squared Loadings
Rotation Sums of Squared
Loadings
Total
percent
of
Variance
Cumulative
percent Total
percent
of
Variance
Cumulative
percent Total
percent
of
Variance
Cumulative
percent
1 3.699 36.985 36.985 3.699 36.985 36.985 2.358 23.582 23.582
2 1.310 13.099 50.085 1.310 13.099 50.085 1.966 19.657 43.239
3 1.110 11.103 61.188 1.110 11.103 61.188 1.795 17.949 61.188
4 .786 7.861 69.049
5 .702 7.021 76.070
6 .609 6.088 82.158
7 .523 5.228 87.386
8 .501 5.007 92.393
9 .459 4.586 96.979
10 .302 3.021 100.000
Table 6.63 contains information regarding 10 possible factors and their relative
explanatory power as expressed by their eigenvalues. There are total three factors
having eigenvalues more than 1. Hence, researcher has retained these three factors for
further study. Total variance explained by the three factors is 61.188 percent. This is a
fair percentage of variance to be explained and assumes appropriateness of the factor
analysis.
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6.8.8 Factor Loading
Factor loading represents the correlation between factors and variables. In
determining a significance level for the interpretation of loadings, an approach similar
to determining a statistical significance of correlation coefficients could be used. In
this research as per above discussion researcher has used varimax method of rotation
to find factor loadings. The larger the absolute size of the factor loading, more
important the loading in interpreting the factor matrix. Following generally accepted
guidelines has been used for identifying significant factor loading based on sample
size (Hair et. al .2009).
Table – 6.64 – Factor Loading for Awareness Variable
Factor
Loading
Sample Size Needed
for Significance
.30 350
.35 250
.40 200
.45 150
.50 120
.55 100
.60 85
.65 70
.70 60
.75 50
Table – 6.65 - Component Matrix for Awareness Variable
Component
Variables 1 2 3
A1 .740 -.310 -.089
A2 .701 -.392 -.077
A18 .639 -.186 -.365
A3 .632 -.113 .511
A6 .581 -.366 -.301
A16 .557 .405 .329
A21 .554 .376 -.304
A22 .545 .462 -.280
A17 .523 .582 .028
A4 .571 -.146 .576
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The unrotated matrix shown in table 6.65 indicates the relationship between the
factors and individual variables but in seldom it results factors that may be correlated
with many variables. In this situation, it is difficult to interpret the factors. Therefore,
using rotation method, the factor matrix is transformed into simpler one that is easier
to interpret as mentioned in below table.
Table – 6.66 - Rotated Component Matrix for Awareness Variable
Component
Variables 1 2 3
A6 .742 .083 .070
A2 .735 .071 .325
A1 .720 .161 .329
A18 .706 .275 .031
A17 .005 .743 .247
A22 .230 .732 .004
A21 .297 .673 -.005
A16 -.008 .544 .535
A4 .205 .043 .797
A3 .258 .118 .770
It is clear from the table 6.66 that rotation improves the structure considerably in two
ways. First, the loadings are improved for almost every variable, with loadings more
closely aligned to the objectives of having a high loading on only a single factor.
Second, now only one variable A16 has a cross loading on two factors. Hence, it has
been omitted from the list and again the whole process of factor rotation has been
developed.
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6.8.9 Revised Factor Extraction for Awareness Variable
Table – 6.67 - Revised KMO and Bartlett's Test for Awareness Variable
Kaiser-Meyer-Olkin Measure of Sampling Adequacy. .796
Bartlett's Test of Sphericity Approx. Chi-Square 1090
Df 36
Sig. .000
Table – 6.68 - Revised Anti-image Matrices for Awareness Variable
A1 A2 A3 A4 A6 A17 A18 A21 A22
Anti-image
Correlation
A1 .782 -.514 -.225 .038 -.151 -.113 -.072 -.032 -.065
A2 -.514 .783 -.016 -.148 -.100 .077 -.127 -.045 -.025
A3 -.225 -.016 .776 -.422 .057 -.055 -.079 .005 -.056
A4 .038 -.148 -.422 .754 -.113 -.062 .035 -.048 .025
A6 -.151 -.100 .057 -.113 .813 .018 -.340 -.085 .065
A17 -.113 .077 -.055 -.062 .018 .822 -.060 -.161 -.227
A18 -.072 -.127 -.079 .035 -.340 -.060 .841 -.062 -.136
A21 -.032 -.045 .005 -.048 -.085 -.161 -.062 .829 -.303
A22 -.065 -.025 -.056 .025 .065 -.227 -.136 -.303 .788
Table – 6.69 - Revised Communality Statistics for Awareness Variable
Variables Initial Extraction
A1 1.000 .644
A2 1.000 .642
A3 1.000 .724
A4 1.000 .708
A6 1.000 .635
A17 1.000 .567
A18 1.000 .603
A21 1.000 .567
A22 1.000 .642
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Table – 6.70 - Revised Total Variance Explained for Awareness Variable
Component
Initial Eigenvalues
Extraction Sums of
Squared Loadings
Rotation Sums of Squared
Loadings
Total
percent
of
Variance
Cumulative
percent Total
percent
of
Variance
Cumulative
percent Total
percent
of
Variance
Cumulative
percent
1 3.455 38.386 38.386 3.455 38.386 38.386 2.234 24.824 24.824
2 1.242 13.799 52.185 1.242 13.799 52.185 1.804 20.040 44.864
3 1.036 11.508 63.693 1.036 11.508 63.693 1.695 18.829 63.693
4 .721 8.008 71.701
5 .677 7.525 79.226
6 .601 6.675 85.901
7 .501 5.564 91.465
8 .459 5.098 96.563
9 .309 3.437 100.000
Table – 6.71 - Revised Component Matrix for Awareness Variable
Component
Variables 1 2 3
A1 .770 -.206 -.095
A2 .728 -.303 -.143
A18 .659 -.031 -.409
A3 .625 -.236 .527
A6 .603 -.242 -.460
A4 .562 -.299 .550
A21 .552 .510 -.051
A22 .540 .592 .026
A17 .481 .541 .208
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Table – 6.72 - Revised Rotated Component Matrix for Awareness Variable
Statements Factor I Factor II Factor III
A6 .794
A18 .729
A2 .700
A1 .666
A22 .783
A17 .727
A21 .711
A4 .825
A3 .815
As shown in revised tables, the values of KMO and Bartlett’s test (0.796, 0.000), Anti
Image Matrix (>0.5), Communalities (>0.5), Eigenvalues (>1), Percentage of
Cumulative Variance Explained (>60 percent) and Factor Loadings (>0.5) are greater
than cut off values. Hence, post detailed analysis three factors have been identified.
First factor consists four variables (A1, A2, A6, A18), second factor consists three
variables (A17, A21, A22) and third factor consists two variables (A3, A4) based on
significant loadings.
6.8.10 Naming of Factors for Awareness Variable
Based on factors extracted from above process; naming of factors has been done in
following sections.
1. First factor refers to four variables. It includes 1) Awareness about the concept of
mutual funds (0.666) 2) Awareness about mutual funds that it is an indirect route
of investment in stock market, bond market etc. (0.700) 3) Awareness about
mutual funds that it provides tax benefits also (0.794) and 4) Awareness about
mutual funds that investment in mutual funds is subject to market risk (0.729).
The groups of variables are concerned with basic awareness about the concept and
working of mutual funds, so this factor has been given a name of “Conceptual
Awareness.” The extracted factor explains 24.82 percent of variance.
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2. Second factor consists of three variables 1) Awareness about mutual funds that it
can be taken over and managed by another company (0.727) 2) Awareness about
mutual funds that though the income on mutual funds is tax free in some cases,
dividend distribution is to be paid by investors (0.711) and 3) Awareness about
mutual funds that several banks provides loans against some specific mutual funds
units (0.783). The groups of variables are concerned with operational benefits of
mutual funds. Hence, this factor has been given a name “Operational
Awareness.” The extracted factor explains 20.04 percent of variance.
3. Third factor consists of two variables 1) Awareness about availability of different
types of mutual funds (0.815) and 2) Awareness about different terminology used
in mutual funds industry (0.825). The groups of variables are concerned with
awareness regarding types and terminology used in mutual funds industry. Hence,
this factor has been given a name “Technical Awareness.” The extracted factor
explains 18.83 percent of variance.
Based on factor analysis, researcher has extracted important factors, that has been
given priority by respondents or that plays vital role to create awareness about mutual
funds among investors. Out of twenty two variables affecting awareness, factor
analysis extracted three factors namely conceptual awareness, operational awareness
and technical awareness consisting nine variables which has been given priority by
respondent and which explain highest share among all twenty two variables. Results
reveal that retail investors are not aware about the basic terms and terminology used
in mutual funds. Investors are not conceptually aware about the working and concept
about the mutual funds. There is a lack of awareness among retail investors about
mutual funds.
As it is evident from above analysis, factor analysis is only data reduction technique
that reduces the number of factors or variables to small number of factors; but it does
not provide relative importance given to different factors by different categories of
respondents. To fulfill this objective researcher has applied ANOVA test to compare
relative importance given by different categories of respondent to key factors
extracted through factor analysis.
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6. 9 ANOVA Analysis for Awareness Variable
Analysis of variance is used for examining the difference in the mean values of the
dependent variable associated with the effect of the controlled independent variables,
after taking into account the influence of the uncontrolled independent variables.
Essentially, analysis of variance (ANOVA) is used as a test of means for two or more
populations (Malhotra, 2009). In ANOVA dependent variable should be metric while
independent variables must be categorical or non-metric. The basic principle
underlying the technique is that the total variation in the dependent variable is broken
into two parts – one which can be attributed to some specific causes and the other that
may be attributed to chance. The one which is attributed to the specific causes is
called the variation between samples of independent categorical variable and the one
which is attributed chance is termed as the variation within samples of independent
categorical variable. Therefore, in ANOVA, the total variance may be decomposed
into various components corresponding to the sources of the variation (Chawla et. al.,
2011)
The assumption for conducting ANOVA test is to check the homogeneity of
variances. According to this, the variance between the groups of independent variable
should be homogeneous or equal variance assumed. The null hypothesis is that the
group variances are equal and vis-a-vis. To meet the criteria null hypothesis shall be
accepted.
Researcher has used Levene’s test for equality of variances. Levene’s test reveals that
two groups have approximately equal variance on the dependent variable. If the
Levene's test value is significant that is less than 0.05, then the two variances are
significantly different. If it is not significant (Significant value is greater than 0.05),
then these two group variances are equal. If Levene's test is not significant, the
assumption for equality of variances has been met. If null hypothesis is not accepted
or the equality of variances does not exists, in such situations Welch ANOVA needs
to be found out.
The null hypothesis of ANOVA is that “all means are equal”. So, if null hypothesis is
rejected, then it can be said that, there is a significant difference in mean value of
dependent variable for different categories of the independent variables. But if null
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hypothesis is not rejected, then it can be said that the independent variable does not
have significant effect on the dependent variable (Malhotra, 2009).
For ANOVA analysis all the hypothesis are formulated based on factors extracted
through factor analysis and divided into three sections for Awareness, Opportunities
and Problems for investing in mutual funds. Hypotheses have been developed for
following factors extracted through factor analysis to test the significance.
1. Hypothesis for Awareness, based on factor extracted through factor analysis.
2. Hypothesis for Opportunities, based on factor extracted through factor analysis.
3. Hypothesis for Problems, based on factor extracted through factor analysis.
6.10 ANOVA Analysis for Awareness and Demographic Variables
6.10.1 ANOVA Analysis for Awareness * Gender of Respondents
Hypothesis
H0 Awareness is not significantly different across gender of the respondents.
H1 Awareness is significantly different across gender of the respondents.
Table - 6.73 - Test of Homogeneity of Variances for Awareness and Gender of
Respondents
Factor Levene
Statistic df1 df2 Sig.
Operational Awareness 3.918 1 461 .048
Conceptual Awareness .005 1 461 .943
Technical Awareness .018 1 461 .894
Table - 6.74 - ANOVA Analysis for Awareness * Gender of Respondents
Sum of
Squares df
Mean
Square F Sig.
Conceptual
Awareness
Between Groups .002 1 .002 .002 .963
Within Groups 369.415 461 .801
Total 369.417 462
Technical
Awareness
Between Groups .128 1 .128 .141 .708
Within Groups 419.988 461 .911
Total 420.117 462
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Table – 6.75 - Robust Tests of Equality of Means for Awareness and Gender of
Respondents
Statistic df1 df2 Sig.
Operational Awareness – Welch 1.010 1 215.258 .316
Table 6.73 represents the significant value of homogeneity of variances. The
significant values of homogeneity of variances for conceptual awareness and technical
awareness are 0.943 and 0.894 respectively, which is more than cut off value 0.05 at
95 percent confidence level. Therefore, null hypothesis is accepted and hence it can
be said that the homogeneity of variances does exists so, researcher can proceed
further to conduct ANOVA analysis. While in case of operational awareness
significant value is found to be 0.048, which is less than cut of value 0.05 at 95
percent confidence level. Therefore, null hypothesis is rejected and hence it can be
said that the homogeneity of variances does not exists so, further analysis has been
conducted based on Welch ANOVA; not assuming equal variance.
For ANOVA analysis (Table 6.74), the significant value for conceptual awareness,
operational awareness (Table 6.75, Welch ANOVA) and technical awareness is found
to be 0.963, 0.316 and 0.708 which is more than cut off value 0.05 at 95 percent
confidence level. Therefore, null hypothesis accepted and hence it can be said that
there is no significant difference in the level of conceptual, technical and operational
awareness across male and female.
6.10.2 ANOVA Analysis for Awareness * Age of Respondents
Hypothesis
H0 Awareness is not significantly different across age of the respondents.
H1 Awareness is significantly different across age of the respondents.
Table - 6.76 - Test of Homogeneity of Variances for Awareness and Age of
Respondents
Levene Statistic df1 df2 Sig.
Operational Awareness .204 4 458 .936
Conceptual Awareness 3.798 4 458 .005
Technical Awareness 3.005 4 458 .018
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Table - 6.77 - ANOVA Analysis for Awareness * Age of Respondents
Sum of
Squares Df
Mean
Square F Sig.
Operational
Awareness
Between Groups 3.266 4 .817 .999 .408
Within Groups 374.496 458 .818
Total 377.762 462
Table - 6.78 - Robust Tests of Equality of Means for Awareness and Age of
Respondents
Statistic df1 df2 Sig.
Conceptual Awareness Welch 2.215 4 42.654 .083
Technical Awareness Welch 1.281 4 42.552 .292
Table 6.76 represents the significant value of homogeneity of variances. The
significant value of homogeneity of variances for operational awareness is 0.936,
which is more than cut off value 0.05 at 95 percent confidence level. Therefore, null
hypothesis is accepted and hence it can be said that the homogeneity of variances does
exists so, researcher can proceed further to conduct ANOVA analysis. In case of
conceptual awareness and technical awareness significant values are found to be
0.005 and 0.018, which is less than cut of value 0.05 at 95 percent confidence level.
Therefore, null hypothesis is rejected and hence it can be said that the homogeneity of
variances does not exists so, further analysis has been conducted based on Welch
ANOVA; not assuming equal variance.
For ANOVA analysis (Table 6.77), the significant values for operational awareness,
conceptual awareness (Table 6.78, Welch ANOVA) and technical awareness (Table
6.78, Welch ANOVA) are found to be 0.408, 0.083 and 0.292 which is more than cut
off value 0.05 at 95 percent confidence level. Therefore, null hypothesis accepted and
hence it can be said that there is no significant difference in the level of conceptual,
technical and operational awareness across different age category of respondents.
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6.10.3 ANOVA Analysis for Awareness * Education Level of Respondents
Hypothesis
H0 Awareness is not significantly different across education level of the
respondents.
H1 Awareness is significantly different across education level of the respondents.
Table – 6.79 - Test of Homogeneity of Variances for Awareness and Education
Level of Respondents
Levene Statistic df1 df2 Sig.
Conceptual Awareness 1.125 5 457 .346
Technical Awareness .586 5 457 .711
Operational Awareness 3.606 5 457 .003
Table – 6.80 - ANOVA Analysis for Awareness * Education Level of
Respondents
Sum of
Squares df
Mean
Square F Sig.
Conceptual
Awareness
Between Groups 10.116 5 2.023 2.573 .026
Within Groups 359.301 457 .786
Total 369.417 462
Technical
Awareness
Between Groups 4.748 5 .950 1.045 .391
Within Groups 415.369 457 .909
Total 420.117 462
Table – 6.81 - Robust Tests of Equality of Means for Awareness and Education
Level of Respondents
Statistic df1 df2 Sig.
Operational Awareness – Welch .582 5 17.353 .714
Table 6.79 represents the significant value of homogeneity of variances. The
significant value of homogeneity of variances for operational awareness and technical
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awareness is 0.346 and 0.711 respectively, which is more than cut off value 0.05 at 95
percent confidence level. Therefore, null hypothesis is accepted and hence it can be
said that the homogeneity of variances does exists so, researcher can proceed further
to conduct ANOVA analysis. In case of operational awareness significant value is
found to be 0.003, which is less than cut of value 0.05 at 95 percent confidence level.
Therefore, null hypothesis is rejected and hence it can be said that the homogeneity of
variances does not exists so, further analysis has been conducted based on Welch
ANOVA; not assuming equal variance.
For ANOVA analysis (Table 6.80), the significant values for technical awareness and
conceptual awareness are found to be 0.391 and 0.714 respectively which is more
than cut off value 0.05 at 95 percent confidence level. Therefore, null hypothesis
accepted and hence it can be said that there is no significant difference in the level of
technical and operational awareness across different education level of the
respondents.
In case of conceptual awareness, the value of ANOVA (F test) is found to be
significant (0.026), which is less than cut of value 0.05 at 95 percent confidence level.
Therefore, null hypothesis rejected and hence it can be said that there is significant
difference in the level of conceptual awareness across different education level of the
respondents.
As the value of ANOVA (F test) turnout to be significant for conceptual awareness,
one additional test is required to check pair wise differences in the means
(Nargundkar R. 2010). It is known as Post-hoc analysis or Pair Wise Multiple
Comparison Test or Range Tests. As in case of education level, differences in level of
conceptual awareness exists; ANOVA test does not tell whether any one of the pairs
(school or post graduate) are significantly different from each other or if the
remaining pairs are also significantly different. To find out; tests such as Tukey’s test,
Duncan’s test or Scheffe’s test are available. For present study researcher has used
Tukey’s test to find out significant difference between pairs.
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Table – 6.82 - Post Hoc Test for Conceptual Awareness and Education Level of
Respondents
Multiple Comparisons
Conceptual Awareness - Tukey
(I) Education (J) Education
Mean
Difference
(I-J)
Sig.
School
Graduate -.43333 .066
Post-Graduate -.54872 .005
Professional -.45246 .124
Doctorate -.47500 .737
Others -.60000 .869
Graduate
Post-Graduate -.11538 .831
Professional -.01913 1.000
Doctorate -.04167 1.000
Others -.16667 1.000
Post-Graduate
Professional .09626 .977
Doctorate .07372 1.000
Others -.05128 1.000
Professional Doctorate -.02254 1.000
Others -.14754 1.000
Doctorate Others -.12500 1.000
Post hoc analysis gives pair wise test result of significant difference among means of
different categories of respondents. Based on above table it is found that, at 95 percent
confidence level the cut off value in case of “school and post graduate education” is
found to be significant (0.005). Therefore, it can be said that there is a significant
difference in level of awareness between this pair.
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Further from mean difference it is indicative that, for pair wise comparison of school
and post graduate respondents, the value is found to be -0.548. So it can be said that
the respondents having post graduate level education are more conceptually aware
about mutual funds than respondents having school level education.
6.10.4 ANOVA Analysis for Awareness * Employment Status of Respondents
Hypothesis
H0 Awareness is not significantly different across employment status of the
respondents.
H1 Awareness is significantly different across employment status of the
respondents.
Table – 6.83 - Test of Homogeneity of Variances for Awareness and Employment
Status of Respondents
Levene
Statistic df1 df2 Sig.
Conceptual Awareness .542 5 457 .745
Technical Awareness .800 5 457 .550
Operational Awareness 1.757 5 457 .120
Table – 6.84 - ANOVA Analysis for Awareness * Employment status of
Respondents
Sum of
Squares df
Mean
Square F Sig.
Conceptual
Awareness
Between Groups 20.632 5 4.126 5.407 .000
Within Groups 348.785 457 .763
Total 369.417 462
Technical
Awareness
Between Groups 8.783 5 1.757 1.952 .085
Within Groups 411.334 457 .900
Total 420.117 462
Operational
Awareness
Between Groups 6.346 5 1.269 1.562 .170
Within Groups 371.416 457 .813
Total 377.762 462
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Table 6.83 represents the significant value of homogeneity of variances. The
significant value of homogeneity of variances for conceptual awareness, technical
awareness and operational awareness is 0.745, 0.550 and 0.120 respectively, which is
more than cut off value 0.05 at 95 percent confidence level. Therefore, null hypothesis
is accepted and hence it can be said that the homogeneity of variances does exists so,
researcher can proceed further to conduct ANOVA analysis.
For ANOVA analysis (Table 6.84), the significant values for technical awareness and
operational awareness are found to be .085 and 0.170 respectively which is more than
cut off value 0.05 at 95 percent confidence level. Therefore, null hypothesis is
accepted and hence it can be said that there is no significant difference in the level of
technical and operational awareness across different employment status of the
respondents.
In case of conceptual awareness, the value of ANOVA (F test) is found to be
significant (0.000), which is less than cut of value 0.05 at 95 percent confidence level.
Therefore, null hypothesis rejected and hence it can be said that there is significant
difference in the level of conceptual awareness across different employment status of
the respondents.
To check pair wise differences (salaried or housewife) in the mean value of the
respondents, Tukey’s test was performed.
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Table – 6.85 – Post Hoc Test for Conceptual Awareness and Employment Status
of Respondents
Multiple Comparisons
Conceptual Awareness – Tukey
(I) Employment
Status
(J) Employment
Status
Mean
Difference
(I-J) Sig.
Salaried Businessman
/Self-employed .02936 1.000
Housewife .69275 .080
Students .66497 .000
Retired .41334 .409
Unemployed .05386 1.000
Businessman/
Self-employed
Housewife .66339 .122
Students .63561 .002
Retired .38397 .531
Unemployed .02450 1.000
Housewife Students -.02778 1.000
Retired -.27941 .958
Unemployed -.63889 .560
Students Retired -.25163 .925
Unemployed -.61111 .418
Retired Unemployed -.35948 .918
Post-hoc analysis gives pair wise test result of significant differences among means of
different category of respondents. Based on above table it is found that, at 95 percent
confidence level the cut off value in case of “salaried employee & students (0.000)”,
and “businessman/self-employed & students (0.002)” is found to be significant (less
than 0.05). Therefore, it can be said that there is a significant difference in level of
conceptual awareness between these pairs.
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Further from mean differences it is indicative that, for pair wise comparison of
“salaried employee & students”; the mean difference value is found to be +0.664. So,
it can be said that salaried employee possess more conceptual knowledge about
mutual funds than students.
In case of mean differences between “businessman/self-employed & students”; the
mean difference value is +0.635. So, it can be said that businessman/self-employed
respondents possess more conceptual knowledge about mutual funds than students.
Based on ANOVA analysis it was found that among different demographic variables
only conceptual awareness was found to be significant across education level and
employment status of the respondents. The difference was not found significant in
case of age and gender. It was also found that the respondents having post graduate
level education are conceptually more aware than school level educated respondents.
It was also found that salaried employee and businessman/self-employed were more
conceptually aware than students. However, no significant difference was found
between different demographic variables and operational awareness and technical
awareness.
6.11 Factor Analysis for Opportunities to Invest in Mutual Funds.
Table – 6.86 - KMO and Bartlett’s Test (MSA) for Opportunity Variable
Kaiser-Meyer-Olkin Measure of Sampling Adequacy. .921
Bartlett's Test of Sphericity Approx. Chi-Square 2637
Df 190
Sig. .000
Tables 6.86 reveal values of Bartlett’s Test of Sphericity and KMO of sampling
adequacy 2.637 and 0.921 respectively with significant value of 0.000, which satisfies
necessary conditions for factor analysis. Hence, researcher can proceed for further
analysis.
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Table – 6.87 - Anti Image Correlation Matrix for Opportunity Variable
O1 O2 O3 O4 O5 O6 O7 O8 O9 O10 O11 O12 O13 O14 O15 O16 O17 O18 O19 O20
Anti-image
Correlation
O1 .871 -.350 -.176 .066 -.038 -.061 -.042 .048 -.015 -.047 -.027 .067 .028 .060 -.094 -.061 -.019 -.023 -.064 -.003
O2 -.350 .908 -.022 -.166 -.055 -.064 -.014 -.030 -.039 .073 .025 -.084 -.045 -.075 .012 -.044 -.094 -.010 -.075 -.024
O3 -.176 -.022 .933 -.101 -.071 -.019 .073 -.073 -.099 .058 -.045 -.054 -.048 -.088 -.080 -.021 -.010 .014 -.053 .033
O4 .066 -.166 -.101 .917 -.157 -.016 -.156 .037 -.088 -.068 -.018 -.012 .042 -.024 -.074 -.024 -.038 .071 -.019 .030
O5 -.038 -.055 -.071 -.157 .932 -.172 -.093 .046 .008 -.087 -.070 .023 -.143 .011 .032 .017 -.068 .003 -.010 -.103
O6 -.061 -.064 -.019 -.016 -.172 .940 -.158 -.010 .020 -.083 .020 -.040 .013 .002 .068 -.117 -.045 -.085 -.039 -.061
O7 -.042 -.014 .073 -.156 -.093 -.158 .935 -.095 -.099 -.050 -.026 -.040 -.190 -.007 -.065 .011 .010 .028 -.008 -.106
O8 .048 -.030 -.073 .037 .046 -.010 -.095 .935 -.171 .041 .007 -.140 -.047 -.146 -.026 -.044 -.101 -.059 -.052 -.003
O9 -.015 -.039 -.099 -.088 .008 .020 -.099 -.171 .895 -.229 -.076 -.127 .040 .020 .160 -.068 -.136 -.128 .083 .014
O10 -.047 .073 .058 -.068 -.087 -.083 -.050 .041 -.229 .906 -.165 -.101 .058 -.083 -.152 -.005 .082 -.083 -.028 -.002
O11 -.027 .025 -.045 -.018 -.070 .020 -.026 .007 -.076 -.165 .926 -.133 -.148 .018 -.011 -.051 -.192 .064 .053 -.063
O12 .067 -.084 -.054 -.012 .023 -.040 -.040 -.140 -.127 -.101 -.133 .947 -.083 -.049 -.079 -.090 .023 .045 -.051 -.063
O13 .028 -.045 -.048 .042 -.143 .013 -.190 -.047 .040 .058 -.148 -.083 .916 -.131 -.150 -.054 .096 -.131 -.015 .014
O14 .060 -.075 -.088 -.024 .011 .002 -.007 -.146 .020 -.083 .018 -.049 -.131 .941 -.130 -.106 -.088 -.009 .033 -.122
O15 -.094 .012 -.080 -.074 .032 .068 -.065 -.026 .160 -.152 -.011 -.079 -.150 -.130 .914 -.144 -.131 .000 .018 -.122
O16 -.061 -.044 -.021 -.024 .017 -.117 .011 -.044 -.068 -.005 -.051 -.090 -.054 -.106 -.144 .943 -.108 -.199 .022 .063
O17 -.019 -.094 -.010 -.038 -.068 -.045 .010 -.101 -.136 .082 -.192 .023 .096 -.088 -.131 -.108 .929 -.026 -.044 -.039
O18 -.023 -.010 .014 .071 .003 -.085 .028 -.059 -.128 -.083 .064 .045 -.131 -.009 .000 -.199 -.026 .895 -.273 -.137
O19 -.064 -.075 -.053 -.019 -.010 -.039 -.008 -.052 .083 -.028 .053 -.051 -.015 .033 .018 .022 -.044 -.273 .891 -.171
O20 -.003 -.024 .033 .030 -.103 -.061 -.106 -.003 .014 -.002 -.063 -.063 .014 -.122 -.122 .063 -.039 -.137 -.171 .932
Table 6.87 reveals that all the variables have MSA value more than 0.5. Hence,
researcher can proceed further for factor analysis.
Table – 6.88 – Communality Statistics for Opportunity Variable
Variables Initial Extraction
O1 1.000 .641
O2 1.000 .612
O3 1.000 .480
O4 1.000 .500
O5 1.000 .580
O6 1.000 .469
O7 1.000 .529
O8 1.000 .499
O9 1.000 .434
O10 1.000 .452
O11 1.000 .461
O12 1.000 .486
O13 1.000 .399
O14 1.000 .462
O15 1.000 .398
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O16 1.000 .475
O17 1.000 .421
O18 1.000 .594
O19 1.000 .597
O20 1.000 .499
The communality value for variables having value less than 0.5 have been excluded
one by one and revised communalities have been developed till it reaches the value of
0.5 for all remaining variables.
6.11.1 Revised Factor Extraction for Opportunity Variable
Table – 6.89 - Revised KMO and Bartlett’s Test for Opportunity Variable
Kaiser-Meyer-Olkin Measure of Sampling Adequacy. .763
Bartlett's Test of Sphericity Approx. Chi-Square 5242
Df 15
Sig. .000
Table – 6.90 - Revised Anti Image Matrix for Opportunity Variable
O1 O2 O9 O10 O11 O12
Anti-image
Correlation
O1 .678 -.434 -.038 -.090 -.067 .023
O2 -.434 .695 -.121 .008 -.055 -.187
O9 -.038 -.121 .806 -.258 -.136 -.197
O10 -.090 .008 -.258 .789 -.204 -.170
O11 -.067 -.055 -.136 -.204 .818 -.217
O12 .023 -.187 -.197 -.170 -.217 .795
Table – 6.91 - Revised Communality Statistics for Opportunity Variable
Variables Initial Extraction
O1 1.000 .763
O2 1.000 .732
O9 1.000 .537
O10 1.000 .562
O11 1.000 .512
O12 1.000 .531
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Table – 6.92 - Revised Total Variance Explained for Opportunity Variable
Component
Initial Eigenvalues
Extraction Sums of
Squared Loadings
Rotation Sums of
Squared Loadings
Total
percent
of
Variance
Cumulative
percent Total
percent
of
Variance
Cumulative
percent Total
percent
of
Variance
Cumulative
percent
1 2.581 43.023 43.023 2.581 43.023 43.023 2.116 35.274 35.274
2 1.056 17.601 60.624 1.056 17.601 60.624 1.521 25.349 60.624
3 .669 11.149 71.773
4 .654 10.908 82.680
5 .569 9.484 92.165
6 .470 7.835 100.000
Table – 6.93 – Revised Component Matrix for Opportunity Variable
Component
Variables 1 2
O12 .692 -.230
O9 .692 -.243
O10 .667 -.343
O11 .659 -.279
O2 .649 .558
O1 .571 .661
Table – 6.94 - Revised Rotated Component Matrix for Opportunity Variable
Statements Factor I Factor II
O10 .745
O9 .711
O12 .704
O11 .703
O1 .866
O2 .823
As shown in revised tables that values of KMO and Bartlett’s test (0.763, 0.000), Anti
Image Matrix (>0.5), Communalities (>0.5), Eigenvalues (>1), Percentage of
Cumulative Variance Explained (>60 percent) and Factor Loadings (>0.5) are greater
than cut off values. Hence, after detailed analysis two factors have been identified.
First factor consists four variables (09, 010, 011, 012) and second factor consists two
variables (01, 02) based on significant loadings.
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6.11.2 Naming of Factors for Opportunity Variable
Based on factors extracted from above process; naming of factors has been done in
following sections.
1. First factor refers to four items. It includes 1) Long term investment opportunities
(0.711) 2) Long term tax benefits (0.745) 3) Enable to hold diversified portfolio
with small amount which would otherwise require huge capital (0.703) and 4)
Diversified portfolio reduces risk of high loss (0.704). The groups of variables are
concerned with long term future benefits, so this factor has been given a name of
“Future Perspective.” The extracted factor explains 35.27 percent of variance.
2. While second factor consists of two variables 1) Mutual funds provides better
return (0.866) and 2) Safety of invested amount (0.823). This group of variables
are concerned with yield on investment with security of investment. Hence, this
factor has been given a name “Return & Protection.” The extracted factor explains
25.35 percent of variance.
Based on factor analysis, researcher has extracted important factors, which have been
considered as an opportunities to invest in mutual funds. Out of twenty variables
affecting opportunities, factor analysis extracted two factors namely future
perspective and return & protection consisting six variables which has been given
priority by respondents and which explain highest share among all twenty variables.
Results reveal that retail investors give priority to future benefits and return &
protection on investment. Investors seek for safety of investment and long term
benefits from mutual funds investment.
As it is evident from above analysis, factor analysis is only data reduction technique
that reduces the number of factors or variables to small number of factors; but it does
not provide relative importance given to different factors by different categories of
respondents. To fulfill this objective researcher has applied ANOVA test to compare
relative importance given by different categories of respondents to key factors
extracted through factor analysis for perceived opportunities to invest in mutual funds.
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6.12 ANOVA Analysis for Opportunity and Demographic Variables
6.12.1 ANOVA Analysis for Opportunity * Gender of Respondents
Hypothesis
H0 Perceived opportunities are not significantly different across gender of the
respondents.
H1 Perceived opportunities are significantly different across gender of the
respondents.
Table – 6.95 - Test of Homogeneity of Variances for Opportunity and Gender of
Respondents
Levene
Statistic df1 df2 Sig.
Future Perspective 3.283 1 461 .071
Return & Protection 6.255 1 461 .013
Table – 6.96 - ANOVA Analysis for Opportunity * Gender of Respondents
Sum of
Squares Df
Mean
Square F Sig.
Future
Perspective
Between Groups .105 1 .105 .163 .687
Within Groups 297.484 461 .645
Total 297.590 462
Table – 6.97 – Robust Tests of Equality of Means for Opportunity and Gender of
Respondents
Statistic df1 df2 Sig.
Return & Protection Welch .018 1 231.676 .893
Table 6.95 represents the significant value of homogeneity of variances. The
significant value of homogeneity of variances for future perspective is 0.071, which is
more than cut off value 0.05 at 95 percent confidence level. Therefore, null hypothesis
is accepted and hence it can be said that the homogeneity of variances does exists so,
researcher can proceed further to conduct ANOVA analysis. While in case of return
and protection significant value is found to be 0.013, which is less than cut of value
0.05 at 95 percent confidence level. Therefore, null hypothesis is rejected and hence it
can be said that the homogeneity of variances does not exists so, further analysis has
been conducted based on Welch ANOVA; not assuming equal variance.
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For ANOVA analysis (Table 6.96), the significant value for future perspective and
return & protection (Table 6.97, Welch ANOVA) is found to be 0.687 and 0.893
respectively which is more than cut off value 0.05 at 95 percent confidence level.
Therefore, null hypothesis accepted and hence it can be said that perceived
opportunities are not significantly different across gender of the respondents.
6.12.2 ANOVA Analysis for Opportunity * Age of Respondents
Hypothesis
H0 Perceived opportunities are not significantly different across age of the
respondents.
H1 Perceived opportunities are significantly different across age of the
respondents.
Table – 6.98 - Test of Homogeneity of Variances for Opportunity and Age of
Respondents
Extracted Factors Levene Statistic df1 df2 Sig.
Future Perspective 1.058 4 458 .377
Return & Protection 2.954 4 458 .020
Table – 6.99 - ANOVA Analysis for Opportunity * Age of Respondents
Extracted
Factor
Sum of
Squares Df Mean Square F Sig.
Future
Perspective
Between Groups 2.217 4 .554 .859 .488
Within Groups 295.373 458 .645
Total 297.590 462
Table - 6.100 - Robust Tests of Equality of Means for Opportunity and Age of
Respondents
Extracted Factor Statistic df1 df2 Sig.
Return & Protection Welch .248 4 40.113 .909
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Table 6.98 represents the significant value of homogeneity of variances. The
significant value of homogeneity of variances for future perspective is 0.377, which is
more than cut off value 0.05 at 95 percent confidence level. Therefore, null hypothesis
is accepted and hence it can be said that the homogeneity of variances does exists so,
researcher can proceed further to conduct ANOVA analysis. While in case of return
and protection significant value is found to be 0.020, which is less than cut of value
0.05 at 95 percent confidence level. Therefore, null hypothesis is rejected and hence it
can be said that the homogeneity of variances does not exists so, further analysis has
been conducted based on Welch ANOVA; not assuming equal variance.
For ANOVA analysis (Table 6.99), the significant value for future perspective and
return & protection (Table 6.100, Welch ANOVA) is found to be 0.488 and 0.909
respectively which is more than cut off value 0.05 at 95 percent confidence level.
Therefore, null hypothesis accepted and hence it can be said that perceived
opportunities are not significantly different across age of the respondents.
6.12.3 ANOVA Analysis for Opportunity * Education Level of Respondents
Hypothesis
H0 Perceived opportunities are not significantly different across education level of
the respondents.
H1 Perceived opportunities are significantly different across education level of the
respondents.
Table – 6.101 – Test of Homogeneity of Variances for Opportunity and
Education Level of Respondents
Extracted Factors Levene
Statistic df1 df2 Sig.
Future Perspective 1.272 5 457 .275
Return & Protection 1.751 5 457 .122
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Table – 6.102 – ANOVA Analysis for Opportunity * Education Level of
Respondents
Extracted Factors Sum of
Squares df
Mean
Square F Sig.
Future Perspective Between Groups 5.983 5 1.197 1.875 .097
Within Groups 291.607 457 .638
Total 297.590 462
Return & Protection Between Groups 7.624 5 1.525 1.669 .141
Within Groups 417.387 457 .913
Total 425.011 462
Table 6.101 represents the significant value of homogeneity of variances. The
significant value of homogeneity of variances for future perspective and return &
protection is 0.275 and 0.122 respectively, which is more than cut off value 0.05 at 95
percent confidence level. Therefore, null hypothesis is accepted and hence it can be
said that the homogeneity of variances does exists so, researcher can proceed further
to conduct ANOVA analysis.
For ANOVA analysis (Table 6.102), the significant value for future perspective and
return & protection is found to be 0.097 and 0.141 respectively which is more than cut
off value 0.05 at 95 percent confidence level. Therefore, null hypothesis accepted and
hence it can be said that perceived opportunities are not significantly different across
education level of the respondents.
6.12.4 ANOVA Analysis for Opportunity * Employment Status of Respondents
Hypothesis
H0 Perceived opportunities are not significantly different across employment
status of the respondents.
H1 Perceived opportunities are significantly different across employment status of
the respondents.
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Table – 6.103 - Test of Homogeneity of Variances for Opportunity and
Employment Status of Respondents
Extracted Factors Levene
Statistic df1 df2 Sig.
Future Perspective 1.085 5 457 .368
Return & Protection 1.041 5 457 .393
Table – 6.104 - ANOVA Analysis for Opportunity * Employment Status of
Respondents
Extracted Factors Sum of
Squares Df
Mean
Square F Sig.
Future Perspective Between Groups 7.679 5 1.536 2.421 .035
Within Groups 289.911 457 .634
Total 297.590 462
Return & Protection Between Groups 12.387 5 2.477 2.744 .019
Within Groups 412.624 457 .903
Total 425.011 462
Table 6.103 represents the significant value of homogeneity of variances. The
significant value of homogeneity of variances for future perspective and return &
protection is 0.368 and 0.393 respectively, which is more than cut off value 0.05 at 95
percent confidence level. Therefore, null hypothesis is accepted and hence it can be
said that the homogeneity of variances does exists so, researcher can proceed further
to conduct ANOVA analysis.
For ANOVA analysis (Table 6.104), the significant value for future perspective and
return & protection is found to be 0.035 and 0.019 respectively which is less than cut
off value 0.05 at 95 percent confidence level. Therefore, null hypothesis rejected and
hence it can be said that perceived opportunities are significantly different across
employment status of the respondents. As the value of ANOVA (F test) turnout to be
significant for future perspective and return & protection factor, Tukey’s test was
performed to check pair wise differences in mean value.
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Table – 6.105 - Post Hoc Test for Future Perspective and Employment Status of
Respondents
Multiple Comparisons
Tukey – Future Perspective
(I) Employment
Status
(J) Employment
Status
Mean Difference
(I-J) Sig.
Salaried Businessman/
Self-employed .05875 .984
Housewife .42621 .459
Student .39843 .057
Retired .23013 .858
Unemployed .31510 .852
Businessman/
Self-employed
Housewife .36745 .647
Student .33968 .213
Retired .17138 .961
Unemployed .25634 .938
Housewife Student -.02778 1.000
Retired -.19608 .987
Unemployed -.11111 1.000
Student Retired -.16830 .980
Unemployed -.08333 1.000
Retired Unemployed .08497 1.000
Post hoc analysis gives pair wise test result of significant difference among means of
different categories of respondents. Based on above table it is found that, at 95 percent
confidence level the cut off value in case of “salaried employee & students (0.057)” is
found to be significant for future perspective factor. Therefore, it can be said that
there is a significant difference for future perspective factor as an opportunity to
invest in mutual funds among salaried employee and students.
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Further from mean differences it is indicative that, for pair wise comparison of
“salaried employee & students”; the mean difference value is found to be +0.398. So,
it can be said that salaried employee put more emphasis on future perspective factor
as an opportunity while investing in mutual funds compare to students.
Table – 6.106 - Post Hoc Test for Return and Protection and Employment Status
of Respondents
Multiple Comparisons
Tukey – Return and Protection
(I) Employment
Status
(J) Employment
Status
Mean
Difference
(I-J) Sig.
Salaried Businessman/
Self-employed -.06528 .988
Housewife .73919 .091
Student .07252 .998
Retired .51370 .259
Unemployed .35030 .886
Businessman/
Self-employed
Housewife .80446 .059
Student .13780 .973
Retired .57897 .173
Unemployed .41557 .802
Housewife Student -.66667 .287
Retired -.22549 .989
Unemployed -.38889 .939
Student Retired .44118 .614
Unemployed .27778 .970
Retired Unemployed -.16340 .998
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Post hoc analysis gives pair wise test result of significant difference among means of
different categories of respondent. Based on above table it is found that, at 95 percent
confidence level the cut off value in case of “businessman/self-employed &
housewife (0.059)” is found to be significant. Therefore, it can be said that there is a
significant difference for return and protection factor as an opportunity to invest in
mutual funds among businessman/self-employed & housewife.
Further from mean differences it is indicative that, for pair wise comparison of
“businessman/self-employed & housewife”; the mean difference value is found to be
+0.804. So, it can be said that businessman/self-employed put more emphasis on
return and protection factor as an opportunity while investing in mutual funds
compare to housewife.
Based on ANOVA analysis it was found that among different demographic variables
only employment status was found to be significant in case of both the factors. It
means that the perceived opportunities to invest in mutual funds were significantly
different for both the factors among different employment status of the respondents. It
was also found that the salaried employee perceived more opportunity to invest in
mutual funds compare to students. It was also found that businessman/self-employed
also perceived more opportunity to invest in mutual funds compare to house wife.
However, no significant difference was found for gender, age and education level and
both the factors for opportunities.
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6.13 Factor Analysis for Problems of Investment in Mutual
Funds
Table – 6.107 - KMO and Bartlett’s Test (MSA) for Problem Variable
Kaiser-Meyer-Olkin Measure of Sampling Adequacy. .913
Bartlett's Test of Sphericity Approx. Chi-Square 3230
Df 210
Sig. .000
Table 6.107 shows the values of Bartlett’s Test of Sphericity and KMO of sampling
adequacy 3.230 and 0.913 respectively at significant value of 0.000, which satisfies
necessary conditions for factor analysis. Hence, researcher can proceed for further
analysis.
Table – 6.108 - Anti Image Correlation Matrix for Problem Variable
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14 P15 P16 P17 P18 P19 P20 P21
Anti-image
Correlation
P1 .861 -.416 -.213 -.089 .001 -.120 -.009 .021 .002 -.101 .017 -.088 .061 .057 -.133 .069 -.019 .028 .039 -.025 -.011
P2 -.416 .863 -.062 -.130 -.068 .015 -.015 -.035 -.019 .087 .056 -.045 -.027 -.114 .148 -.099 -.053 .060 -.055 -.052 -.045
P3 -.213 -.062 .916 -.049 -.118 -.067 -.108 -.022 -.055 .053 -.096 .012 -.056 -.021 -.128 .061 -.054 -.066 .005 .164 -.072
P4 -.089 -.130 -.049 .913 -.163 -.008 -.113 -.042 .078 .013 -.083 .084 .041 -.047 -.021 .092 -.084 -.153 -.009 -.112 .015
P5 .001 -.068 -.118 -.163 .898 -.206 -.005 .076 .008 -.218 -.023 .012 -.057 .033 -.149 -.067 .005 -.125 .120 -.063 .080
P6 -.120 .015 -.067 -.008 -.206 .922 -.202 .028 -.027 .038 .042 -.117 -.062 -.013 .088 -.070 .085 -.099 -.058 -.052 -.112
P7 -.009 -.015 -.108 -.113 -.005 -.202 .892 -.316 -.095 .067 -.123 .067 .080 -.035 .005 -.042 -.145 .104 -.093 .001 .014
P8 .021 -.035 -.022 -.042 .076 .028 -.316 .916 -.108 -.168 .002 -.049 -.061 -.143 -.011 -.008 .030 .017 -.013 -.092 .014
P9 .002 -.019 -.055 .078 .008 -.027 -.095 -.108 .943 -.161 -.117 -.098 -.013 -.002 -.085 .024 -.071 -.080 .099 -.089 -.025
P10 -.101 .087 .053 .013 -.218 .038 .067 -.168 -.161 .910 -.169 -.021 -.044 .019 -.036 -.081 .046 -.003 -.141 .022 -.099
P11 .017 .056 -.096 -.083 -.023 .042 -.123 .002 -.117 -.169 .923 -.265 -.130 -.041 .055 -.032 -.049 -.038 -.025 .084 -.074
P12 -.088 -.045 .012 .084 .012 -.117 .067 -.049 -.098 -.021 -.265 .924 -.165 -.157 -.093 .015 .014 -.048 -.143 .012 .028
P13 .061 -.027 -.056 .041 -.057 -.062 .080 -.061 -.013 -.044 -.130 -.165 .937 -.051 -.143 -.054 -.070 .117 .011 -.112 -.058
P14 .057 -.114 -.021 -.047 .033 -.013 -.035 -.143 -.002 .019 -.041 -.157 -.051 .938 -.189 -.199 .008 -.055 -.024 .003 .017
P15 -.133 .148 -.128 -.021 -.149 .088 .005 -.011 -.085 -.036 .055 -.093 -.143 -.189 .918 -.138 -.038 .018 -.109 .020 -.030
P16 .069 -.099 .061 .092 -.067 -.070 -.042 -.008 .024 -.081 -.032 .015 -.054 -.199 -.138 .933 -.155 -.122 -.067 -.096 .010
P17 -.019 -.053 -.054 -.084 .005 .085 -.145 .030 -.071 .046 -.049 .014 -.070 .008 -.038 -.155 .944 -.114 -.085 -.049 -.055
P18 .028 .060 -.066 -.153 -.125 -.099 .104 .017 -.080 -.003 -.038 -.048 .117 -.055 .018 -.122 -.114 .908 -.068 -.106 .035
P19 .039 -.055 .005 -.009 .120 -.058 -.093 -.013 .099 -.141 -.025 -.143 .011 -.024 -.109 -.067 -.085 -.068 .931 -.205 -.035
P20 -.025 -.052 .164 -.112 -.063 -.052 .001 -.092 -.089 .022 .084 .012 -.112 .003 .020 -.096 -.049 -.106 -.205 .878 -.430
P21 -.011 -.045 -.072 .015 .080 -.112 .014 .014 -.025 -.099 -.074 .028 -.058 .017 -.030 .010 -.055 .035 -.035 -.430 .891
Table 6.108 reveals that all the variables have MSA value more than 0.5. Hence,
researcher can proceed further.
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Table – 6.109 – Communality Statistics for Problem Variable
Variables Initial Extraction
P1 1.000 .619
P2 1.000 .588
P3 1.000 .567
P4 1.000 .493
P5 1.000 .614
P6 1.000 .402
P7 1.000 .512
P8 1.000 .543
P9 1.000 .419
P10 1.000 .441
P11 1.000 .517
P12 1.000 .539
P13 1.000 .447
P14 1.000 .432
P15 1.000 .485
P16 1.000 .483
P17 1.000 .361
P18 1.000 .586
P19 1.000 .493
P20 1.000 .726
P21 1.000 .561
The communality value for variables having less than 0.5 have been excluded one by
one and revised communalities have been developed till it reaches the value of >0.5
for all remaining variables.
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6.13.1 Revised Factor Extraction for Problem Variable
Table – 6.110 - Revised KMO and Bartlett’s Test for Problem Variable
Kaiser-Meyer-Olkin Measure of Sampling Adequacy. .730
Bartlett's Test of Sphericity Approx. Chi-Square 678.391
Df 15
Sig. .000
Table – 6.111 - Revised Anti Image Correlation Matrix for Problem Variable
P1 P2 P3 P19 P20 P21
Anti-image
Correlation
P1 .704 -.438 -.306 -.019 -.054 -.040
P2 -.438 .750 -.101 -.078 -.121 -.035
P3 -.306 -.101 .762 -.097 .081 -.120
P19 -.019 -.078 -.097 .814 -.309 -.094
P20 -.054 -.121 .081 -.309 .682 -.490
P21 -.040 -.035 -.120 -.094 -.490 .722
Table – 6.112 - Revised Communality Statistics for Problem Variable
Variables Initial Extraction
P1 1.000 .725
P2 1.000 .618
P3 1.000 .558
P19 1.000 .530
P20 1.000 .761
P21 1.000 .663
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Table – 6.113 - Revised Total Variance Explained for Problem Variable
Component
Initial Eigenvalues Extraction Sums of
Squared Loadings
Rotation Sums of Squared
Loadings
Total
percent
of
Variance
Cumulative
percent Total
percent
of
Variance
Cumulative
percent Total
percent
of
Variance
Cumulative
percent
1 2.677 44.613 44.613 2.677 44.613 44.613 1.976 32.941 32.941
2 1.178 19.637 64.251 1.178 19.637 64.251 1.879 31.310 64.251
3 .690 11.503 75.754
4 .650 10.830 86.584
5 .428 7.133 93.717
6 .377 6.283 100.000
Table – 6.114- Revised Component Matrix for Problem Variable
Variables Component
1 2
P20 .719 -.494
P21 .697 -.421
P2 .695 .368
P1 .688 .502
P19 .632 -.362
P3 .565 .489
Table – 6.115 - Revised Rotated Component Matrix for Problem Variable
Statements Factor I Factor II
P20 .862
P21 .796
P19 .708
P1 .836
P2 .744
P3 .743
As shown in revised tables values of KMO and Bartlett’s test (0.730, 0.000), Anti
Image Matrix (>0.5), Communalities (>0.5), Eigenvalues (>1), Percentage of
Cumulative Variance Explained (>60 percent) and Factor Loadings (>0.5) are greater
than cut off values. Hence, after detailed analysis two factors have been identified.
First factor consists three variables (P19, P20, P21) and second factor consists three
variables (P1, P2, P3) based on significant loadings.
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6.13.2 Naming of Factors for Problem Variable
Based on factors extracted from above process; naming of factors has been done in
following sections.
1. First factor refers to 03 items. It includes 1) Difficulty for getting clarity about
fund investment portfolio (0.708) 2) Difficulty in getting expert advisor for
selecting ideal mutual funds (0.862) and 3) Difficulty for getting accurate advice
to invest in mutual funds (0.796). The groups of variables are concerned with
seeking clarity and advice for investment in mutual funds, so this factor has been
given a name of “Expert Recommendations.” The extracted factor explains 32.94
percent of variance.
2. While second factor consists of three variables 1) Mutual funds selection is
complex process (0.836) 2) Mutual funds selection is time consuming (0.744) and
3) Difficulty in identifying mutual funds that provide significant return (0.743).
The groups of variables are concerned with facing difficulty in selecting ideal
mutual funds. Hence, this factor has been given a name “Selection Complexity.
The extracted factor explains 31.31 percent of variance.
Based on factor analysis, researcher has extracted important factors, which are
perceived as problems for investing in mutual funds. Out of twenty one variables
posing problems, factor analysis extracted two factors namely expert
recommendations and selection complexity consisting six variables which are
perceived as problems while investing in mutual funds. Result reveals that investors
face difficulties for getting expert advice and selecting right kind of mutual funds for
investment purpose.
As it is evident from above analysis, factor analysis is only data reduction technique
that reduces the number of factors or variables to small number of factors; but it does
not provide relative importance given to different factors by different categories of
respondents. To fulfill this objective researcher has applied ANOVA test to compare
relative importance given by different categories of respondents to key factors
extracted through factor analysis for perceived problems to invest in mutual funds.
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6.14 ANOVA Analysis for Problems and Demographic Variables
6.14.1 ANOVA Analysis for Problems * Gender of Respondents
Hypothesis
H0 Perceived problems are not significantly different across gender of the
respondents.
H1 Perceived problems are significantly different across gender of the
respondents.
Table – 6.116 - Test of Homogeneity of Variances for Problems and Gender of
Respondents
Extracted Factors Levene Statistic df1 df2 Sig.
Expert Recommendation .402 1 461 .526
Selection Complexity .417 1 461 .519
Table – 6.117 - ANOVA Analysis for Problems * Gender of Respondents
Sum of
Squares Df
Mean
Square F Sig.
Expert Recommendation Between Groups .002 1 .002 .003 .959
Within Groups 406.322 461 .881
Total 406.324 462
Selection Complexity Between Groups .431 1 .431 .535 .465
Within Groups 370.865 461 .804
Total 371.296 462
Table 6.116 represents the significant value of homogeneity of variances. The
significant value of homogeneity of variances for expert recommendation and
selection complexity is 0.526 and 0.519 respectively, which is more than cut off value
0.05 at 95 percent confidence level. Therefore, null hypothesis is accepted and hence
it can be said that the homogeneity of variances does exists so, researcher can proceed
further to conduct ANOVA analysis.
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For ANOVA analysis (Table 6.117), the significant value for expert recommendation
and selection complexity is found to be 0.959 and 0.465 respectively which is more
than cut off value 0.05 at 95 percent confidence level. Therefore, null hypothesis
accepted and hence it can be said that perceived problems are not significantly
different across gender of the respondents.
6.14.2 ANOVA Analysis for Problems * Age of Respondents
Hypothesis
H0 Perceived problems are not significantly different across age of the
respondents.
H1 Perceived problems are significantly different across age of the respondents.
Table – 6.118 - Test of Homogeneity of Variances for Problems and Age of
Respondents
Extracted Factors Levene
Statistic df1 df2 Sig.
Expert Recommendation .360 4 458 .837
Selection Complexity 1.273 4 458 .280
Table – 6.119 - ANOVA Analysis for Problems * Age of Respondents
Sum of
Squares df
Mean
Square F Sig.
Expert
Recommendation
Between Groups 2.029 4 .507 .575 .681
Within Groups 404.295 458 .883
Total 406.324 462
Selection
Complexity
Between Groups 2.016 4 .504 .625 .645
Within Groups 369.279 458 .806
Total 371.296 462
Table 6.118 represents the significant value of homogeneity of variances. The
significant value of homogeneity of variances for expert recommendation and
selection complexity is 0.837 and 0.280 respectively, which is more than cut off value
0.05 at 95 percent confidence level. Therefore, null hypothesis is accepted and hence
it can be said that the homogeneity of variances does exists so, researcher can proceed
further to conduct ANOVA analysis.
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For ANOVA analysis (Table 6.119), the significant value for expert recommendation
and selection complexity is found to be 0.681 and 0.645 respectively which is more
than cut off value 0.05 at 95 percent confidence level. Therefore, null hypothesis
accepted and hence it can be said that perceived problems are not significantly
different across age of the respondents.
6.14.3 ANOVA Analysis for Problems * Education Level of Respondents
Hypothesis
H0 Perceived problems are not significantly different across education level of the
respondents.
H1 Perceived problems are significantly different across education level of the
respondents.
Table – 6.120 – Test of Homogeneity of Variances for Problems and Education
Level of Respondents
Levene
Statistic df1 df2 Sig.
Expert Recommendation .404 5 457 .846
Selection Complexity 3.339 5 457 .006
Table – 6.121 - ANOVA Analysis for Problems * Education Level of
Respondents
Sum of
Squares df
Mean
Square F Sig.
Expert
Recommendation
Between Groups 3.321 5 .664 .753 .584
Within Groups 403.003 457 .882
Total 406.324 462
Table 6.122 - Robust Tests of Equality of Means for Problems and Education
Level of Respondents
Statistic df1 df2 Sig.
Selection Complexity Welch .938 5 17.339 .481
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Table 6.120 represents the significant value of homogeneity of variances. The
significant value of homogeneity of variances for expert recommendation is 0.846,
which is more than cut off value 0.05 at 95 percent confidence level. Therefore, null
hypothesis is accepted and hence it can be said that the homogeneity of variances does
exists so, researcher can proceed further to conduct ANOVA analysis. While in case
of selection complexity significant value is found to be 0.006, which is less than cut
of value 0.05 at 95 percent confidence level. Therefore, null hypothesis is rejected and
hence it can be said that the homogeneity of variances does not exists so, further
analysis has been conducted based on Welch ANOVA; not assuming equal variance.
For ANOVA analysis (Table 6.121), the significant value for expert recommendation
and selection complexity (Table 6.122, Welch ANOVA) is found to be 0.584 and
0.481 respectively which is more than cut off value 0.05 at 95 percent confidence
level. Therefore, null hypothesis accepted and hence it can be said that perceived
problems are not significantly different across education level of the respondents.
6.14.4 ANOVA Analysis for Problems * Employment Status of Respondents
Hypothesis
H0 Perceived problems are not significantly different across employment status of
the respondents.
H1 Perceived problems are significantly different across employment status of the
respondents.
Table – 6.123 - Test of Homogeneity of Variances for Problems and Employment
Status of Respondents
Levene Statistic df1 df2 Sig.
Expert Recommendation 2.660 5 457 .022
Selection Complexity 1.332 5 457 .250
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Table – 6.124 - ANOVA Analysis for Problems * Employment Status of
Respondents
Sum of
Squares df
Mean
Square F Sig.
Selection Complexity Between Groups 3.057 5 .611 .759 .580
Within Groups 368.238 457 .806
Total 371.296 462
Table – 6.125 - Robust Tests of Equality of Means for Problems and
Employment Status of Respondents
Statistic df1 df2 Sig.
Expert Recommendation Welch 1.185 5 39.085 .334
Table 6.123 represents the significant value of homogeneity of variances. The
significant value of homogeneity of variances for selection complexity is 0.250,
which is more than cut off value 0.05 at 95 percent confidence level. Therefore, null
hypothesis is accepted and hence it can be said that the homogeneity of variances does
exists so, researcher can proceed further to conduct ANOVA analysis. While in case
of selection expert recommendation value is found to be 0.022, which is less than cut
of value 0.05 at 95 percent confidence level. Therefore, null hypothesis is rejected and
hence it can be said that the homogeneity of variances does not exists so, further
analysis has been conducted based on Welch ANOVA; not assuming equal variance.
For ANOVA analysis (Table 6.124), the significant value for expert recommendation
(Table 6.125, Welch ANOVA) and selection complexity is found to be 0.334 and
0.580 respectively which is more than cut off value 0.05 at 95 percent confidence
level. Therefore, null hypothesis accepted and hence it can be said that perceived
problems are not significantly different across employment status of the respondents.
Based on ANOVA analysis, no significant different was found between different
demographic variables of the respondent and factors extracted through factor analysis.
It means that the perceived problems to invest in mutual funds are not significantly
different across the different category of the respondents.
“A study of Awareness, Opportuni t ies & Problems for Retai l
Investors wi th Reference to Mutual Funds In Gujara t Sta te” G a n p a t U n i v e r s i t y
305 D a t a A n a l y s i s a n d I n t e r p r e t a t i o n
6.15 Summary
Collected data were analyzed using SPSS software package. Factor analysis was first
applied to awareness construct followed by opportunities and problems to assess
unidimensionality (Conway and Huffcutt, 2003). Post that ANOVA analysis was
applied to study the significant differences in mean score in demographic variables
and three factors extracted through factor analysis. Factor analysis result shows that
22 items were grouped in to three factors: Conceptual, Technical and Operational
Awareness. ANOVA analysis reveals that conceptual awareness was significantly
different across education level and employment status of respondents. Further it was
found that graduate level respondents were more conceptually aware about mutual
funds. It was also found that salaried and businessman/self-employed were more
conceptually aware about mutual funds.
After thorough analysis and interpretation of gathered data next step is to draw the
findings and conclusion of the research study. Next section of the thesis discusses on
major findings, conclusion and implications of the research.