non parametric relationship (names) - practice problems
TRANSCRIPT
Practice Problems
Differentiating between relationship problems that use the following methods:
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
Problem #1
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.
Advance the slide to see the options
Patients
Blood Pressure
Readings (Skewness = .08)
Age(Skewness = -3.43)
1 75 3
2 85 7
3 85 31
4 95 32
5 95 43
6 97 25
7 97 48
8 97 52
9 102 66
10 102 54
11 102 59
12 102 70
13 110 62
14 115 46
15 115 65
16 120 77
17 120 52
18 125 79
Advance the slide to see the answer
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.
Which is it?
Patients
Blood Pressure
Readings (Skewness = .08)
Age(Skewness = -3.43)
1 75 3
2 85 7
3 85 31
4 95 32
5 95 43
6 97 25
7 97 48
8 97 52
9 102 66
10 102 54
11 102 59
12 102 70
13 110 62
14 115 46
15 115 65
16 120 77
17 120 52
18 125 79
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
Which is it?
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.
Advance the slide to see the explanation
Patients
Blood Pressure
Readings (Skewness = .08)
Age(Skewness = -3.43)
1 75 3
2 85 7
3 85 31
4 95 32
5 95 43
6 97 25
7 97 48
8 97 52
9 102 66
10 102 54
11 102 59
12 102 70
13 110 62
14 115 46
15 115 65
16 120 77
17 120 52
18 125 79
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.
Advance the slide to the next problem
Because the Age variable is Skewed and there are NO ties in
that variable
Explanation
Patients
Blood Pressure
Readings (Skewness = .08)
Age(Skewness = -3.43)
1 75 3
2 85 7
3 85 31
4 95 32
5 95 43
6 97 25
7 97 48
8 97 52
9 102 66
10 102 54
11 102 59
12 102 70
13 110 62
14 115 46
15 115 65
16 120 77
17 120 52
18 125 79
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
Which is it?
Problem #2
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.
Advance the slide to see the options
Patients
Blood Pressure
Readings (Skewness = .08)
Age(Skewness = -3.43)
1 75 3
2 85 7
3 85 31
4 95 32
5 95 32
6 97 25
7 97 48
8 97 52
9 102 66
10 102 66
11 102 59
12 102 70
13 110 62
14 115 46
15 115 77
16 120 77
17 120 52
18 125 79
Advance the slide to see the answer
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.
Which is it?
Patients
Blood Pressure
Readings (Skewness = .08)
Age(Skewness = -3.43)
1 75 3
2 85 7
3 85 31
4 95 32
5 95 32
6 97 25
7 97 48
8 97 52
9 102 66
10 102 66
11 102 59
12 102 70
13 110 62
14 115 46
15 115 77
16 120 77
17 120 52
18 125 79
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
Which is it?
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.
Advance the slide to see the explanation
Patients
Blood Pressure
Readings (Skewness = .08)
Age(Skewness = -3.43)
1 75 3
2 85 7
3 85 31
4 95 32
5 95 32
6 97 25
7 97 48
8 97 52
9 102 66
10 102 66
11 102 59
12 102 70
13 110 62
14 115 46
15 115 77
16 120 77
17 120 52
18 125 79
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.
Advance the slide to the next problem
Because the Age variable is Skewed and there ARE TIES in
that variable
Explanation
Patients
Blood Pressure
Readings (Skewness = .08)
Age(Skewness = -3.43)
1 75 3
2 85 7
3 85 31
4 95 32
5 95 32
6 97 25
7 97 48
8 97 52
9 102 66
10 102 66
11 102 59
12 102 70
13 110 62
14 115 46
15 115 77
16 120 77
17 120 52
18 125 79
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
Problem #3
The director of a health clinic has asked you see if there is a relationship between systolic blood pressure and gender.
Advance the slide to see the options
Patients Blood Pressure
Reading
(Skewness = .23)
Gender
(1,2)
1 75 1
2 85 1
3 85 2
4 95 1
5 95 1
6 97 1
7 97 2
8 97 2
9 102 2
10 102 1
11 102 2
12 102 1
13 110 2
14 115 1
15 115 2
16 120 1
17 120 2
18 125 1
Advance the slide to see the answer
The director of a health clinic has asked you see if there is a relationship between systolic blood pressure and gender.
Patients Blood Pressure
Reading
(Skewness = .23)
Gender
(1,2)
1 75 1
2 85 1
3 85 2
4 95 1
5 95 1
6 97 1
7 97 2
8 97 2
9 102 2
10 102 1
11 102 2
12 102 1
13 110 2
14 115 1
15 115 2
16 120 1
17 120 2
18 125 1
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
The director of a health clinic has asked you see if there is a relationship between systolic blood pressure and gender.
Advance the slide to see the explanation
Patients Blood Pressure
Reading
(Skewness = .23)
Gender
(1,2)
1 75 1
2 85 1
3 85 2
4 95 1
5 95 1
6 97 1
7 97 2
8 97 2
9 102 2
10 102 1
11 102 2
12 102 1
13 110 2
14 115 1
15 115 2
16 120 1
17 120 2
18 125 1
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
The director of a health clinic has asked you see if there is a relationship between systolic blood pressure and gender.
Because Gender is Dichotomousand Blood Pressure is scaled
Explanation
Patients Blood Pressure
Reading
(Skewness = .23)
Gender
(1,2)
1 75 1
2 85 1
3 85 2
4 95 1
5 95 1
6 97 1
7 97 2
8 97 2
9 102 2
10 102 1
11 102 2
12 102 1
13 110 2
14 115 1
15 115 2
16 120 1
17 120 2
18 125 1Advance the slide to the next problem
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
Problem #4
The director of a health clinic has asked you to determine if there is a relationship between patients’ religious affiliation status (1 = affiliated, 2 = unaffiliated) and depression status (1 = depressed, 2 = not depressed).
Advance the slide to see the options
Patient
Religious
Affiliation
Depression
Status
1 1 1
2 2 2
3 1 1
4 1 2
5 1 1
6 2 2
7 1 1
8 1 1
9 1 2
10 2 2
11 2 1
12 1 2
13 2 2
14 1 1
15 2 2
16 2 1
17 1 1
18 1 2
Advance the slide to see the answer
The director of a health clinic has asked you to determine if there is a relationship between patients’ religious affiliation status (1 = affiliated, 2 = unaffiliated) and depression status (1 = depressed, 2 = not depressed).
Patient
Religious
Affiliation
Depression
Status
1 1 1
2 2 2
3 1 1
4 1 2
5 1 1
6 2 2
7 1 1
8 1 1
9 1 2
10 2 2
11 2 1
12 1 2
13 2 2
14 1 1
15 2 2
16 2 1
17 1 1
18 1 2
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
The director of a health clinic has asked you to determine if there is a relationship between patients’ religious affiliation status (1 = affiliated, 2 = unaffiliated) and depression status (1 = depressed, 2 = not depressed).
Advance the slide to see the explanation
Patient
Religious
Affiliation
Depression
Status
1 1 1
2 2 2
3 1 1
4 1 2
5 1 1
6 2 2
7 1 1
8 1 1
9 1 2
10 2 2
11 2 1
12 1 2
13 2 2
14 1 1
15 2 2
16 2 1
17 1 1
18 1 2
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
Advance the slide to the next problem
Both variables are dichotomous
Explanation
The director of a health clinic has asked you to determine if there is a relationship between patients’ religious affiliation status (1 = affiliated, 2 = unaffiliated) and depression status (1 = depressed, 2 = not depressed).
Which is it?Patient
Religious
Affiliation
Depression
Status
1 1 1
2 2 2
3 1 1
4 1 2
5 1 1
6 2 2
7 1 1
8 1 1
9 1 2
10 2 2
11 2 1
12 1 2
13 2 2
14 1 1
15 2 2
16 2 1
17 1 1
18 1 2
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
Problem #5
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their nationally ranked systolic blood pressure.
Advance the slide to see the options
Patients
Blood Pressure
Readings (Nationally
Ranked)
Age(Skewness = -.13)
1 22nd 33
2 34th 47
3 54th 31
4 49th 32
5 50th 43
6 51st 25
7 54th 48
8 55th 52
9 76th 65
10 77th 54
11 78th 59
12 79th 70
13 80th 62
14 81st 46
15 82nd 65
16 95th 77
17 97th 52
Advance the slide to see the answer
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their nationally ranked systolic blood pressure.
Patients
Blood Pressure
Readings (Nationally
Ranked)
Age(Skewness = -.13)
1 22nd 33
2 34th 47
3 54th 31
4 49th 32
5 50th 43
6 51st 25
7 54th 48
8 55th 52
9 76th 65
10 77th 54
11 78th 59
12 79th 70
13 80th 62
14 81st 46
15 82nd 65
16 95th 77
17 97th 52
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their nationally ranked systolic blood pressure.
Advance the slide to see the explanation
Patients
Blood Pressure
Readings (Nationally
Ranked)
Age(Skewness = -.13)
1 22nd 33
2 34th 47
3 54th 31
4 49th 32
5 50th 43
6 51st 25
7 54th 48
8 55th 52
9 76th 65
10 77th 54
11 78th 59
12 79th 70
13 80th 62
14 81st 46
15 82nd 65
16 95th 77
17 97th 52
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their nationally ranked systolic blood pressure.
Advance the slide to the next problem
Because Blood Pressure Readings are ranked or ordinal and have
NO TIES
Explanation
Patients
Blood Pressure
Readings (Nationally
Ranked)
Age(Skewness = -.13)
1 22nd 33
2 34th 47
3 54th 31
4 49th 32
5 50th 43
6 51st 25
7 54th 48
8 55th 52
9 76th 65
10 77th 54
11 78th 59
12 79th 70
13 80th 62
14 81st 46
15 82nd 65
16 95th 77
17 97th 52
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
Problem #6
A political think take wants to determine if there is relationship between gender and support of Proposition “X”.
Advance the slide to see the options
Patients
Support (1) or Oppose (2)
Proposition “X”
Gender
(1,2)
1 1 1
2 1 1
3 2 2
4 1 1
5 1 1
6 2 1
7 1 2
8 2 2
9 2 2
10 1 1
11 2 2
12 1 1
13 1 2
14 2 1
15 2 2
16 1 1
17 2 2
18 2 1
Advance the slide to see the answer
A political think take wants to determine if there is relationship between gender and support of Proposition “X”.
Patients
Support (1) or Oppose (2)
Proposition “X”
Gender
(1,2)
1 1 1
2 1 1
3 2 2
4 1 1
5 1 1
6 2 1
7 1 2
8 2 2
9 2 2
10 1 1
11 2 2
12 1 1
13 1 2
14 2 1
15 2 2
16 1 1
17 2 2
18 2 1
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
A political think take wants to determine if there is relationship between gender and support of Proposition “X”.
Advance the slide to see the explanation
Patients
Support (1) or Oppose (2)
Proposition “X”
Gender
(1,2)
1 1 1
2 1 1
3 2 2
4 1 1
5 1 1
6 2 1
7 1 2
8 2 2
9 2 2
10 1 1
11 2 2
12 1 1
13 1 2
14 2 1
15 2 2
16 1 1
17 2 2
18 2 1
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau
A political think take wants to determine if there is relationship between gender and support of Proposition “X”.
Because both variables aredichotomous
Explanation
The End
Patients
Support (1) or Oppose (2)
Proposition “X”
Gender
(1,2)
1 1 1
2 1 1
3 2 2
4 1 1
5 1 1
6 2 1
7 1 2
8 2 2
9 2 2
10 1 1
11 2 2
12 1 1
13 1 2
14 2 1
15 2 2
16 1 1
17 2 2
18 2 1
Which is it?
Phi-Coefficient Point-Biserial
Spearman Rho Kendal Tau