Stats problems

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homework_5.docx

HCM 365

Homework #5 (20 points)

Chapter 8 ANOVA in Excel

1. In a multi-institutional arrangement, we are concerned about the delay in transferring inpatients to an alternative source of care after hospitalization. We measure delay in transfer by the lapse of time between the date on which the patient was clinically ready for transfer and the date on which the patient was discharged to a long-term care facility. Focusing on three of our hospitals, we randomly selected five patients who were transferred to a nursing home from each hospital and obtained the following data:

Hospital

A

B

C

10

8

15

12

6

22

9

5

21

11

10

19

14

9

18

If = .05, determine whether the difference among the departments are significant or attributable to chance?

2. After selecting six visits from each of four clinics, the amount of time committed to initial visits was as follows:

Clinic

A

B

C

D

25

20

15

18

30

18

17

21

32

21

17

22

36

19

18

23

31

22

20

19

29

23

21

19

If = .05, use these data to determine whether there are significant differences in the amount of time committed to initial visits provided by the four clinics.

3. Referring to the original data in number 1, suppose each row is now defined by a different diagnosis:

Hospital

Diagnosis

A

B

C

1

10

8

15

2

12

6

22

3

9

5

21

4

11

10

19

5

14

9

18

If = .05, determine whether difference among the treatment and block effects are significant.

4. The budgetary request from each of three long-term care facilities operated by our organization was based in part on the case complexity of residents. To assess the situation, suppose that we selected four patients in each of the three age groups from each of the facilities and obtained the number of secondary diagnoses presented by each resident. The results derived from the samples are as follows.

Facility

Age Group

A

B

C

65-74

2

7

10

4

4

9

3

8

7

5

9

8

75-84

4

6

11

5

8

10

5

9

9

6

10

12

85+

5

7

13

6

9

14

7

10

12

5

11

12

Let = .05 and determine whether differences among the treatment, block, and interactive effects are significant or attributable to chance.