Non parametric relationship - practice problems

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Practice Problems Differentiating between relationship problems that use the following methods: Dichotomous by Dichotomous Dichotomous by Scaled Ordinal by other Variable Scaled Skewed by other variable

Transcript of Non parametric relationship - practice problems

Practice Problems

Differentiating between relationship problems that use the following methods:

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

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 65

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 65

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

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

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 65

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

Which is it?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

Advance the slide to the next problem

Because the Age variable is Skewed

Explanation

The director of a health clinic has asked you to determine if there is a relationship between patients’ age and their systolic blood pressure.

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 65

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

Which is it?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

Problem #2

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?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

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?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

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?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

Problem #3

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?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

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

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

Which is it?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

Advance the slide to the next problem

While both variables are scaledand Age is normally distributed,Blood Pressure is skewed (3.32)

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?

Which is it?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

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

Problem #4

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?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

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?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

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 Is ranked or ordinal

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?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

Problem #5

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?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

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?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable

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?

Dichotomous by Dichotomous

Dichotomous by Scaled

Ordinal by other Variable

Scaled Skewed by other variable