Rank order relationship (ties) practice problems
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Transcript of Rank order relationship (ties) practice problems
Practice Problems
Differentiating between relationship problems that use the following methods:
Spearman’s Rho Kendall’s Tau
Problem #1
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?
Spearman’s Rho Kendall’s 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 66
16 95th 77
17 97th 52
Which is it?
Spearman’s Rho Kendall’s 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 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
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 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
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
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
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
Problem #3
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
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
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
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
Problem #4
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
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
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
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