Rank order relationship (ties) practice problems

21
Practice Problems Differentiating between relationship problems that use the following methods: Spearman’s Rho Kendall’s Tau

Transcript of Rank order relationship (ties) practice problems

Page 1: Rank order relationship (ties)   practice problems

Practice Problems

Differentiating between relationship problems that use the following methods:

Spearman’s Rho Kendall’s Tau

Page 2: Rank order relationship (ties)   practice problems

Problem #1

Page 3: Rank order relationship (ties)   practice problems

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

Page 4: Rank order relationship (ties)   practice problems

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?

Spearman’s Rho Kendall’s Tau

Page 5: Rank order relationship (ties)   practice problems

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 66

16 95th 77

17 97th 52

Which is it?

Spearman’s Rho Kendall’s Tau

Page 6: Rank order relationship (ties)   practice problems

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 there are no ties among the rank ordered or ordinal variable

(Nationally Ranked Blood Pressure Readings)

Explanation

Which is it?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 66

16 95th 77

17 97th 52

Spearman’s Rho Kendall’s Tau

Page 7: Rank order relationship (ties)   practice problems

Problem #2

Page 8: Rank order relationship (ties)   practice problems

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 31

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 59

11 102 59

12 102 70

13 110 62

14 115 46

15 115 66

16 120 77

17 120 52

18 125 79

Page 9: Rank order relationship (ties)   practice problems

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?

Spearman’s Rho Kendall’s Tau

Patients

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -3.43)

1 75 3

2 85 7

3 85 31

4 95 31

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 59

11 102 59

12 102 70

13 110 62

14 115 46

15 115 66

16 120 77

17 120 52

18 125 79

Page 10: Rank order relationship (ties)   practice problems

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?

Spearman’s Rho Kendall’s Tau

Patients

Blood Pressure

Readings (Skewness = .08)

Age(Skewness = -3.43)

1 75 3

2 85 7

3 85 31

4 95 31

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 59

11 102 59

12 102 70

13 110 62

14 115 46

15 115 66

16 120 77

17 120 52

18 125 79

Page 11: Rank order relationship (ties)   practice problems

Advance the slide to the next problem

Because the Skewed Variable (Age) has ties.

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 31

5 95 43

6 97 25

7 97 48

8 97 52

9 102 65

10 102 59

11 102 59

12 102 70

13 110 62

14 115 46

15 115 66

16 120 77

17 120 52

18 125 79

Which is it?

Spearman’s Rho Kendall’s Tau

Page 12: Rank order relationship (ties)   practice problems

Problem #3

Page 13: Rank order relationship (ties)   practice problems

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 22nd 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 77th 59

12 80th 70

13 80th 62

14 81st 46

15 82nd 65

16 95th 77

17 97th 52

Page 14: Rank order relationship (ties)   practice problems

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?

Spearman’s Rho Kendall’s Tau

Patients

Blood Pressure

Readings (Nationally

Ranked)

Age(Skewness = -.13)

1 22nd 33

2 22nd 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 77th 59

12 80th 70

13 80th 62

14 81st 46

15 82nd 65

16 95th 77

17 97th 52

Page 15: Rank order relationship (ties)   practice problems

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?

Spearman’s Rho Kendall’s Tau

Patients

Blood Pressure

Readings (Nationally

Ranked)

Age(Skewness = -.13)

1 22nd 33

2 22nd 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 77th 59

12 80th 70

13 80th 62

14 81st 46

15 82nd 65

16 95th 77

17 97th 52

Page 16: Rank order relationship (ties)   practice problems

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

There are ties among the rank ordered or ordinal variable

(Nationally Ranked Blood Pressure Readings)

Explanation

Which is it?

Spearman’s Rho Kendall’s Tau

Patients

Blood Pressure

Readings (Nationally

Ranked)

Age(Skewness = -.13)

1 22nd 33

2 22nd 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 77th 59

12 80th 70

13 80th 62

14 81st 46

15 82nd 65

16 95th 77

17 97th 52

Page 17: Rank order relationship (ties)   practice problems

Problem #4

Page 18: Rank order relationship (ties)   practice problems

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 59

11 102 60

12 102 70

13 110 62

14 115 46

15 115 66

16 120 77

17 120 52

18 125 79

Page 19: Rank order relationship (ties)   practice problems

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?

Spearman’s Rho Kendall’s Tau

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 59

11 102 60

12 102 70

13 110 62

14 115 46

15 115 66

16 120 77

17 120 52

18 125 79

Page 20: Rank order relationship (ties)   practice problems

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?

Spearman’s Rho Kendall’s Tau

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 59

11 102 60

12 102 70

13 110 62

14 115 46

15 115 66

16 120 77

17 120 52

18 125 79

Page 21: Rank order relationship (ties)   practice problems

Advance the slide to the next problem

Because the Skewed Variable (Age) has no ties.

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?

Spearman’s Rho Kendall’s Tau

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 59

11 102 60

12 102 70

13 110 62

14 115 46

15 115 66

16 120 77

17 120 52

18 125 79