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Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics and Business Sofia University St. Kliment Ohridski

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Page 1: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

Second Doctoral Summer SchoolSozopol, June 7-11, 2007

QUALITATIVE and QUANTITATIVE RESEARCH METHODS

Assoc. Prof. Dr. Zhelyu VladimirovFaculty of Economics and Business

Sofia University St. Kliment Ohridski

Page 2: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

METHODS and TECHNIQUES

METHODS TECHNIQUES

(What to do? Why to do?) (Haw to do?)

- Historical review and analysis - Focus group- Case studies- Observation- Field experiments- Interviews (personal, by mail, by telephone)- Surveys

Step-by-step procedures to gather data and analyse them

Page 3: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

QUALITATIVE OR QUANTITATIVE DATA COLLECTION?

The choice depends on which type of data is needed for a particular research problem

The main difference between qualitative and quantitative research is not “quality” but procedure

It is quite possible to quantify qualitative data or to exercise qualitative analysis of the quantified data

Qualitative and quantitative methods are not mutually exclusive

Page 4: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

THE DIFFERENCE IN EMPHASIS IN QUALITATIVE VERSUS QUANTITATIVE METHODS (1)

QUALITATIVE METHODS QUANTITATIVE METHODS Emphasis on understandingFocus on understanding from respondent’s point of viewInterpretation and rational approachObservations and measurements in natural settingsSubjective “insider view” and closeness to dataExplorative orientationProcess orientedHolistic perspectiveGeneralization by comparison of properties and contexts of individual organism

Emphasis on testing and verification Focus on facts or reasons for social eventsLogical and critical approach Controlled measurementObjective “outsider view” distant from data Hypothetical-deductive; focus on hypothesis/theory testing Result oriented Particularistic and analytical Generalization by population membership

Page 5: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

THE DIFFERENCE IN EMPHASIS IN QUALITATIVE VERSUS QUANTITATIVE METHODS (2)

Qualitative methods Quantitative methods

Research problems focusing on:- Person’s experience or behaviour;- Uncovering and understand a phenomenon about which little is known- Employ a limited number of observations- Want to do in-depth studies- Common in business studies

- Cut reality into discrete pieces, which are then combined into statistical clusters- Common in economic studies

Page 6: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

NO METHOD IS ENTIRELY QUALITATIVE OR QUANTITATIVE, BUT TECHNIQUES CAN BE EITHER QUANTITATIVE OR QUALITATIVE

Historical review; Group discussion; Case study; Survey; Experiment

TECHNIQUES Qualitative

Quantitative

TECHNIQUESConversation Unstructured and semi-structured interviews, etc.

Structured observation Structured interview Structured surveys Attitude scaling Field equipment

Page 7: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(1) HISTORICAL REVIEW

Question Techniques Problem Requirement

What happened in the past?

- Go throughexistingrecords andreports;- Review thearchives;- Talk todifferentpeople

Trust to human memory

To be critical and compare different explanations for the situation or event

Page 8: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(2) FOCUS GROUPS

Question Techniques Problem Requirement

Research question

Discussionon a certaintopic withseveralrespondents at the sametime

Discussion is influenced by:- the size of the group, - personalities of people involved, - the physical and geographical arrangement of the meeting, - the “chemistry” between the interviewer and the group

Skilful coordination of the group’s interactions

Page 9: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(3) CASE STUDIES

Question Techniques Purpose Spread-up

Research question

In-depth interviews

- The area ofresearch isrelatively lessknown;- For thetheory buildingtype of

research

Most frequently used for thesis and dissertation research in business studies

Page 10: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(4) OBSERVATIONS

Question Techniques Advantage Disadvantage

Research question

Listening and watching other people’s behaviour in a way that allows some type of learning and analytical interpretation

Collect first-hand information in a natural setting

Difficult to translate the events or happenings into scientifically useful information

Page 11: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

COLLECTING PRIMARY DATA THROUGH

OBSERVATIONS

OBSERVATIONS HUMAN NON-PARTICIPANT (MECHANICAL)

Human field observation

Human laboratory observation

Mechanical field (laboratory) observation

ADVANTAGE

- In field observation the observer is a natural part of the situation or event- People who are being observed know that they are being observed and by whom- Danger: The observers can be influenced by the event, situation or culture and everyday lives of the subjects

- Reactions are observed in a controlled setting in a laboratory or in other virtual reality

- Issue: Behaviour of people is influenced because of a non-participatory observer, but only in the beginning; people get used to it in a very short time

- Researcher observes a natural setting but is notpart of the situation(Using video-camerain supermarket)- Record the hotline statistics (questionsasked; problems customershave, etc.)

Issue: Ethical aspects ofthis method of datacollection

- Datacollected aremoreobjective andaccurate

- Respondentsare often careful inreplying tosensitive orembarrassingquestions

Page 12: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

INTERVIEW AND QUESTIONNAIRE TECHNIQUES

Question Interviews Questionnaires Differences

Asking those who have experienced a particular phenomenon so that they can explain it

Personal

Telephone

Mail

- Structured questionnaires – thequestions and the answersto be given arepredetermined (multiple-choice)- Unstructuredquestionnaires – thequestions are only roughlypredetermined and thereare no predeterminedanswers- Semi-structuredquestionnaires – thequestions arepredetermined, butrespondents can use theirown words and ways to

answer

- The most obviousdifference between aquestionnaire and aninterview is the cost

- Interviewing is amuch more flexiblemethod than thequestionnaire

- Interviews areconsidered moreappropriate forqualitative studies,while questionnaires are con sidered moresuitable forquantitative types ofresearch

Page 13: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(5) SURVEYS

Surveys refer to a method of data collection that utilizes questionnaires or interview techniques. The survey is an effective tool to get opinions, attitudes and descriptions as well as for getting cause-and-effect relationships

Surveys deals with reconstruction of processes that occurred prior to the investigations

Page 14: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

PLANNING A SURVEY

Conceptualize and structure theresearch problem

1. Consider the aims of the research2. Review the current state of knowledge3. Assess the various resources available

Analytic survey? - Test a theory by identifying the independent, dependentand extraneous variables, and their relations, and- Controlling variables through statistical techniques such as multiple regression

Descriptive survey? - Identify the phenomena whose variance you wish to describe - The focus is more on a representative sample

Establish a priori assumptions/ hypo theses

Determine the sampling strategy by defining the research population and designing a means of accessing a representative (random) sample

Are data to be collected through one approach? Or does the research problem require the repeated contact of a single sample or several equivalent samples?

Interviewer-administered questionnaire/schedule

- More expensive- Risk of interviewer bias

Respondent-completed/ postal administered questionnaire

- Less expensive- High rates of “non-response”

Page 15: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

CONSTRUCTING QUESTIONNAIRES

What type of information is required?

How it is to be administered - through mail, personal interview, telephone interview or a combination?

Individual questions: Is it necessary to ask a certain question? What are the benefits of dummy variables? Is it necessary to have several questions on one issue? Can questions be interpreted differently? Would respondents be willing to give answers to the questions?

Open-ended or close-ended questions?

Should we have “Don’t know” alternative, providing an escape route? The responses received for questionnaires with or without an escape route differ by up to 20-25%

Length of the questionnaire - no standards available

The precise wording of questions is crucial (example)

What type of scale we should use?

Page 16: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

GUIDELINES FOR CONSTRUCTING QUESTIONNAIRES

The questions must be asked in a very simple and concise language

The alternative answers (close-ended questions) should use clear and unambiguous language

Checking and ensuring that everybody understands the question in the same manner

Each question should deal with only one dimension or aspect

We should not offer an alternative such as “Don't know” or “No comment”

The questions should not be of a suggestive nature Questions should be formulated in a polite and soft language

(by answering questions, the respondent is doing us a favour) Questions should be placed in a “right” order (easy-to-answer

questions and positive types of questions should be placed first) There should also be a logical order from general to specific

questions The layout of the questionnaire is also important Pre-testing the questionnaire on several real companies or

respond ents

Page 17: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

INTERVIEWS (BY MAIL, BY PHONE, PERSONAL

Interviews demand real interaction between the researcher and the respondent and that is why the researcher needs to know the respondent

Interviews are often considered the best data collection methods

There are two types of interviews - structured and unstructured interviews

Semi-structured and unstructured interviews demand greater skills from the interviewer

Unstructured interviews are considered advantageous in the context of discovery.

Interviews also are difficult to interpret and analyse Coding of in-depth inter views is a difficult task

Page 18: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

PREPARING FOR AN INTERVIEW

(1) Analyse the research problem(2) Understand what information you need to have from an interviewee

(3) See that who would be able to provide you with that informa tion.(4) Draft an interview guide or interview questions(5) Pre-test the first draft of the interview questions as a pilot study

(6) Decide how much time the interview should take (no more than 1.30 hours)(7) Create a situation where the respondent willingly offers time(8) How you are going to record the information (type-recording?)

(9) Ask if the interview is to be treated confidentially(10) Create a reason or a reward for the respondent (why should they answer your questions?)(11) Send a confirmation letter about the appointment(12) Consider all the costs (travelling costs, hotel, etc.)(13) Plan your time if you have more than one interview per day

Page 19: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

THE INTERVIEW

Introduce the study and its purpose to orient the respondents

Use simple and understandable language

Leave it entirely to the informant to provide answers to questions

Show interest and enthusiasm in the respondents and their “story”

Control the situation and the time with care so as to get the relevant information

Develop a relationship with the interviewee

Be careful about sensitive questions

Ensure perfect functioning of the equipment at the time of the interview

Page 20: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

POST-INTERVIEW

Write down the important points from the interview as well as notes on the practical details

Write a “Thank you” letter to the respondent

Write down all the information on the tape in the same order

Later develop a descriptive report of the interview relevant for the study

Sometimes it is useful to send this descriptive report to the interviewee for comments

Page 21: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

FOCUS GROUPS

Focus group - a small group of people (around 10 people) interacting with each other to seek information on a small (focused) number of issues, and the discussion may last from half an hour to around two hours

There should be some homogeneity among the individuals in one focus group, which will encourage more in-depth and open discussion

The observer can observe the group, sometimes without disturbing the discussion

The moderator plays an important role in keeping the discussion on the focus issue and also in ensuring that it goes smoothly

Page 22: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

ADVANTAGES AND DISADVANTAGES OF THE FOCUS GROUPS

Advantages Disadvantages- Very rich and in-depth data expressed in respondents’ own words and reactions- It is a quick, flexible and inexpensive method- Allows the researcher to interact directly with respond ents

- Allow the collection of data from people who are not literate or from children

- This type of data collection makes it very difficult to summarize and categorize the information- It can be difficult to gather people at a location- The small numbers who are willing might not be representative of our population- The responses of the group members are not independent of one another (mutually influenced)

Page 23: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

USEFULNESS OF THE FOCUS GROUPS IN BUSINESS STUDIES

Obtaining general background about a topic

Generating research hypotheses

Stimulating new ideas and creative concepts

Diagnosing problems/success factors for a new product, service or program

Generating impressions of products, programmes, services or institutions/firm

Learning how respondents talk about the phenomenon, which may help designing questionnaires or other instruments

Interpreting previously obtained quantitative data

The representativeness is most important as we observe only a few individuals

Page 24: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

Conclusions (from the case-study)By economic sectors

In the retail and tourist sector there are almost no elements of the French Social Model (FSM)

These sectors are of great labour intensity, and the recent high unemployment in the country gave an advantage to employers not to invest in human capital

Surprisingly there are no traces of the FSM in the bank sector, where only the training of newly employed is better developed

Probably the foreign banks’ filial use already proved products (and do not develop new ones) and do not see a great advantage to invest in local employees

Only in sectors of energy and in the manufacturing as a whole there are some elements of labour politics of the parent companies

We assume that the specificity of the manufacturing and key sectors like energy require stronger the application of similar social politics by the multinational filial

Page 25: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

Conclusions (from the case-study)

By the way of acquisition

In the franchises there are almost no elements of the FSM. Obviously the local companies accept only the standards of work/service from the parent company, but not the standards of the social policy

In the proper filial some elements of the FSM are present in combination with the national model of the receiving country. As a whole the filial are better transmitters of the social policy of the parent company

Page 26: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

General Conclusions (from the case-study)

Commonly all investigated companies have almost no trade unions, in single cases there are representatives of workers and employees, but they all have no serious irregularities in the labour relations from the point of view of the national Labour Code

The compensations remain in the field of the management and directorates, and it is not a matter of the collective bargaining

The penetration of the MNC does not lead automatically to the transfer of their social policies

The MNC respect national legal requirements on the labour relations, but this represent minimal effort for them

Based on that we can conclude that the Bulgarian national legislation is not enough exigent in that respect

Obviously there are serious challenges to the European social model (based on the FSM) by some succeeding and not so social countries like the US. It means that the EU countries have to look for a balance between higher competitiveness and better social policy on both national and firm levels

Page 27: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

NECESSITY OF SAMPLING

- Collect information from each member of the population

- Collect information from a portion of the population

Population here refers not only to people, but also tofirms, products and so on A sample frame is a listing of units from which the

actual sample will be drawn Taking a sample of elements from the larger group, we

can infer something about the larger group Two reasons for taking a sample: - The costs of including all units, - The time needed to do soThe US Bureau of Census uses sample surveys to checkthe accuracy of the various censuses

Page 28: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

TYPES OF SAMPLES

Probability sample Non-probability sample

- Each unit has a known, non-zero chance of being included in the sample, which allows for statistical inferences - Representative sample - what has been found in the sample is valid (within certain limits) for the population- Important if we are to estimate unknown parameters or draw valid inferences regarding the population

- It is not possible to make valid

inferences about the population,which implies that such samples are not representative- Accidental sample - units that we find convenient for some reason are selected- Judgment sample - select units we think are representative of the population- Quota sample - certain subgroups of units are represented in the sample in approximately the same proportions as they are represented in the popula tion

- Easy to draw, but they may give misleading results (no basis for evaluating the size of the sampling variation and the error of estimation)

Page 29: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(1) SIMPLE RANDOM SAMPLING

All units in the population have the same chance (probability) of being included

What variables or parameters are of interest? Parameters describe aspects of variables Variable can be denned as a set of values related to a

population in such a way that each unit has one and only one value from the set

Value can be denned as a piece of information regarding a particular aspect of a unit

In the case of a total listing of all units, the sample can be drawn as in a lottery (Prepared tables of random digits exist as well)

Page 30: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(2) SIMPLE RANDOM SAMPLING

Typical parameters to be estimated in a sampling survey are: - population total, - population means, - population proportions, - population variances and - population ratios.

When more than one variable is involved, additional parameters of interest might be:

- population correlation coefficients and - population regression coefficients

Page 31: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(3) SIMPLE RANDOM SAMPLING

Drawbacks:

A complete frame (a list of all units in the whole population) is needed

Costs of obtaining the sample can be high if the units are geographically widely scattered

The standard errors of estimators can be high This is a major reason for applying other sampling

procedures, i.e. to reduce standard errors of estimators by the same sample size

If the units have quite different values for a variable of interest, simple random sampling can be improved by making the probability of inclusion in the sample proportional to the value of the variable. This is called sampling with probabilities proportional to size (Example)

Page 32: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

SYSTEMATIC SAMPLING

PREREQUISITE: units in the population can be ordered in some way. It allows that the units in the population can be numbered from the first (1) to the last unit (N)

Example: A 10% systematic sample is obtained by drawing every tenth unit in the ordered population. For instance: select every 10th unit after a random start (7, 17, 27, etc.)

Advantages: the method is simple, and a frame is not always needed

Drawbacks: danger of hidden periodicities, e.g. that a deficiency in producing a specific product occurs at specific intervals (If one happens to get an unfortunate starting point, the whole sample could consist of defective products)

Page 33: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

STRATIFIED SAMPLING

The parent population is divided into a mutually exclusive and exhaustive subset;

A simple random sample of units is chosen independently from each subset

An important reason for stratified sampling is that variability, and thus standard error of estimates may bereduced Important if the means (proportions, etc.) are very different

in the different strata. The result will be a smaller sampling variation

Proportional allocation means that the proportion of units included in the sample is the same for each stratum

Stratifying in a fashion that makes the means (or other parameters) rather different in different strata

Page 34: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

STRATIFIED SAMPLING

Advantages: - Can give higher precision with the same sample size or,

alternatively, the same precision with a smaller sample - Can give separate results for each stratum! - Simplifies data collection.

Drawbacks: - A complete frame is needed. - Additional information, such as knowledge of standard

deviations and costs, may be needed for each stratum. If the population can be divided into strata which

are homogeneous within but heterogeneous between, precision can be increased or costs lowered

Page 35: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

CLUSTER SAMPLING

The population is divided into mutually exhaustive subsets

Random samples of the subsets are selected One-stage cluster sampling - all units in the

selected clusters are examined Two-stage cluster sampling - a sample of units is

selected probabilistically from the subsets

With stratified sampling, a sample of units is selected from each subgroupWith cluster sampling, a sample of subgroups is selected It is desirable for each subgroup to be a small-

scale model of the actual population The subgroup should be formed to be as

heterogeneous as possible

Page 36: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(1) DETERMINING SAMPLE SIZE

“What is the sample size needed?” - It depends on the desired precision from the estimate

Precision is the size of the estimating interval (you want the sample estimate to be within ± £100 of the true population mean. This is more precise than to be within ± £200 of the true value)

The concept of standard error (of the mean) is central to determining the size of a sample. The formula for the standard error (SE) is:

(1) SE = SD √nwhere SD = standard deviation (of mean)and n = sample size To know SE we first must know or estimate the standard

deviation. The degree of confidence associated with the estimate also

needs to be taken into account.

Page 37: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(2) DETERMINING SAMPLE SIZE

Assume that a researcher wants the estimate to be within ± £25 of the true population value, and to be 95% confident that the interval (25¯x+ 25) will contain the true population mean. This implies constructing an interval ± zSD around the observed mean, in which z is approximately 2. This can be expressed as;H = Z . SE = Z x SD

√nwhere H is half of the interval, i.e. 25.

Also assume that early studies have demonstrated the standard deviation to be around 100,

Thus: 25 = 2 x 100 √n√n = 2 x 100 25n = 22 x 1002 = 64

252

Note what happens if the estimate must be twice as precise, i.e. a desired interval x¯ ± 12.5n = 22 x 1002 = 256

12.52

There is a trade-off between degree of confidence and degree of precision with a sample of fixed size. Thus, doubling the precision interval increased the required sample size by a factor of four. If the standard deviation, SD, is not known it must be estimated.

Page 38: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(3) DETERMINING SAMPLE SIZE

Often the population proportion, π, is another parameter of interest, e.g. percentage of voters, percentage with a specific interest and so on. The distribution of sample proportions is centered about the population proportions. The standard error of a proportion SDp is equal to:

SDp = √ π (1-π)/nTo estimate the required sample size we need to decide on the precision and

confidence wanted: H = z SDp

(where H is half of the interval, i.e. 25)H = z.√π (1-π)/n

Let us assume that a political party wants to conduct a poll to estimate the % voting for the party within ± 2 percentage points and that the party wishes to be 95% confident of the result. Also assume that the percentage voting for the party is believed to be 40%. To estimate the required sample size, an estimate of the proportion is also needed. To estimate the sample size, we apply formula:

n = 22 π (1-π) H2

n = 22 . (0.40) (1-0.40) = 2400 0.022

Page 39: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

Typical sample size

Number of subgroup analyses

People or households Institutions

National Regional or special

National Regional or special

None or few 1000-1500 200-500 200-500 50-200Average 1500-2500 500-1000 500-1000 200-500Many 2500+ 1000+ 1000+ 500 +

Page 40: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

Non-response

A serious potential threat to the validity of results from sampling surveys is non-response, which reduced the effective sample size.

But this is not the main problem, since it can easily be remedied. Thus, if we need a sample of 400 units and we expect a 50% response rate, we could take a sample of 800 units to counteract the non-response.

The real problem with non-response is that those who do not respond are usually different from those who do respond (Example - the majority of the real drinkers will probably not respond for several reasons, but they make up an important part of the whole picture)

Page 41: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

Sampling in qualitative research

Samples always applied in qualitative research.

Statistical conclusion validity plays a major role in quantitative research.

In qualitative research the purpose is to understand, gain insights and create explanations (theory).

Page 42: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(Example) Understanding purchase decisions

Who possesses (and is willing to share) the needed informa tion, which implies selecting the most relevant respondents (subjects).

We may start with one person, e.g. the manager of the research department, and by asking about specific purchases, also asking: “Were other persons involved?” and thus gradually uncovering participation and influences in buying decisions.

Page 43: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

(Example) opinions

How many focus group interviews should be conducted? Let us assume that the researcher starts with one focus group, and the data is transcribed and analyzed. Then s/he conducts another focus group interview, and that also uncovers points of view not present in the first one.

The researcher continues the procedure until no new opinions/points of view are uncovered. This way of reasoning corresponds to sequential sampling, i.e. one continues to add observations until a (final) conclusion is arrived.

Page 44: Second Doctoral Summer School Sozopol, June 7-11, 2007 QUALITATIVE and QUANTITATIVE RESEARCH METHODS Assoc. Prof. Dr. Zhelyu Vladimirov Faculty of Economics

Theoretical sampling

Consider a study designed to examine the (potential) relationship between organizational form and innovativeness.

In order to study this research question, variability of organizational forms of the firms (organizations) included is needed.

Let us also assume that the researcher, based on review of the literature, knows that forms, F1, F2…exist. This insight is then useful when deciding on which firms (organizations) should be included (the sample units are chosen for theoretical reasons).