Parametric or non parametric relationship practice problems

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Practice Problems Differentiating between relationship problems that use the following methods: Parametric Nonparametric

Transcript of Parametric or non parametric relationship practice problems

Practice Problems

Differentiating between relationship problems that use the following methods:

Parametric Nonparametric

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

Students

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -.13)

1 75 33

2 85 47

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?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -.13)

1 75 33

2 85 47

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

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

Which is it?Which is it?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -.13)

1 75 33

2 85 47

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 the next problem

Age is scaled and normally distributed

Blood Pressure is scaled and normally distributed

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.

Which is it?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -.13)

1 75 33

2 85 47

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

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

Students 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.

Students 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?

ParametricNon-

Parametric

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

Students 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?

ParametricNon-

Parametric

The director of a health clinic has asked you see if there is a relationship between systolic blood pressure and gender.

While the blood pressure variableis scaled and normally distributed,

the gender variable is nominal.

Explanation

Which is it?

Students 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

ParametricNon-

Parametric

Advance the slide to the next problem

Problem #3

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

Students

Blood Pressure

Readings (Skewness =

3.32)

Age(Skewness = -.13)

1 5 33

2 85 47

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?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -.13)

1 75 33

2 85 47

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

Students

Blood Pressure

Readings (Skewness =

3.32)

Age(Skewness = -.13)

1 5 33

2 85 47

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

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

Which is it?Which is it?

ParametricNon-

Parametric

Students

Blood Pressure

Readings (Skewness =

3.32)

Age(Skewness = -.13)

1 5 33

2 85 47

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 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’ age and their systolic blood pressure.

Which is it?

Students

Blood Pressure

Readings (Skewness =

3.32)

Age(Skewness = -.13)

1 5 33

2 85 47

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

ParametricNon-

Parametric

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

Students

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.

Which is it?

ParametricNon-

Parametric

Students

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

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

Which is it?Which is it?

ParametricNon-

Parametric

Students

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

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 one of the variables isranked – the method

will be parametric.

Explanation

Which is it?

ParametricNon-

Parametric

Students

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

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

Students 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”.

Which is it?

ParametricNon-

Parametric

Students 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

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

Which is it?

ParametricNon-

Parametric

Students 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

A political think take wants to determine if there is relationship between gender and support of Proposition “X”.

Because both variables arenominal.

Explanation

Which is it?

ParametricNon-

Parametric

The End

Students 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