Quantitative Methods Ch2 1-5

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chapter_2_homework_math.docx

. Chapter 2: Exercises 2-1 through 2-5

For questions 4 and 5, your only assignment is to read and explain the results of the solutions attached here.

· 2-1 Your organization collects data on individual patients shown in Appendix Table 2. Identify whether each variable is measured nominally, ordinally, or as an interval/ratio variable.

· Appendix Table 2 Patient Satisfaction, by Insurer, Same Day of Appointment, Prescription Coverage and Level of Co-pay

Gender

Age

Convenience Satisfaction

Insurer

Same day appointment?

Rx coverage

Co-pay ($)

 M

22

5

Select

Y

Y

15

 M

24

4

Select

Y

N

15

F

45

5

Select

Y

Y

10

F

38

5

Select

Y

Y

10

F

48

3

Select

Y

N

10

F

50

4

Select

Y

Y

20

 M

67

4

Medicare

Y

Y

 5

F

23

5

Tri-state

N

Y

10

F

19

5

Tri-state

N

Y

15

 M

14

3

Tri-state

Y

Y

20

F

27

5

Reliant

Y

N

15

 M

33

3

Reliant

N

N

 0

F

39

4

Reliant

N

N

 5

F

47

4

Tri-state

N

Y

 5

 M

42

5

Tri-state

N

N

 5

 M

31

5

Reliant

N

N

15

 M

20

4

Reliant

N

Y

15

F

72

5

Medicare

Y

Y

15

F

44

4

Tri-state

N

N

20

 M

45

5

Select

Y

N

20

F

60

3

Reliant

Y

Y

20

 M

63

5

Tri-state

Y

Y

 5

F

27

5

Tri-state

Y

Y

 5

 M

68

5

Medicare

N

Y

 5

F

33

5

Reliant

N

Y

10

F

38

3

Reliant

N

Y

15

F

55

4

Medicare

N

Y

15

 M

51

5

Select

Y

Y

15

F

48

4

Tri-state

Y

Y

20

 M

49

5

Tri-state

Y

Y

 0

 M

55

5

Select

N

Y

 5

F

61

4

Reliant

Y

N

 0

F

23

5

Medicare

Y

N

 0

 M

69

5

Medicare

N

Y

20

F

41

4

Tri-state

Y

N

 5

F

14

4

Medicare

Y

N

 0

·

· 2-2 What statistical measures would you use to summarize the variable for age? What about for gender? For convenience satisfaction? How would you present these graphically?

· 2-3 If you are interested in whether satisfaction scoring differed by the amount the individual paid as a co-pay, how would you state this inquiry as testable hypotheses (the null and alternative)? What statistical test would you run to test this hypothesis?

· 2-4 Perform the test defined in Table 2-3. State your conclusions.

· Table 2-3 Observational Data for ED Visits and Lab Tests

Date

Ed Visits

Lab Tests

 

 

15-Sep

 5

12

Correlation Coefficient r = .977

Critical value of r = .532 with n = 14

16-Sep

 8

12

17-Sep

 9

24

18-Sep

12

36

19-Sep

14

48

20-Sep

 2

 0

21-Sep

 4

 0

22-Sep

 8

12

23-Sep

 7

12

24-Sep

12

36

25-Sep

14

48

26-Sep

 6

12

27-Sep

18

60

28-Sep

12

36

·

· 2-5 Compare gender and having Rx coverage. State your hypotheses. Perform the appropriate statistical test and interpret.