Suppose we are conducting a study of the effectiveness of lithium therapy for manic-depressive patients.

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ANSWER ALL QUESTIONS

Biostatistics

Answer the questions in order. In order to answer questions if you need to make assumptions please state them.

Choose the correct answer, either solve or explain. The answers without explanations and solutions will not be evaluated.

Question 1: (9 points) Suppose we are conducting a study of the effectiveness of lithium therapy for manic-depressive patients. The study is carried out at three different centers, and we want to determine if the patient populations are comparable at baseline. A self-rating questionnaire about their general psychological well being is administered to the prospective patients at the three different centers. The outcome measure on the questionnaire is a four-category scale:

(1) = feel good; (2) = usually feel good, once in a while feel nervous; (3) = feel nervous half the time; (4) = usually feel nervous. Suppose the data at the three different centers are as follows:

(a) What type of data does this type of scale represent? (1 point)

(b) Why might a parametric test not be useful with this type of data? (1 point)

(e) Assess if there is any significant difference in the responses of the three patient populations using a nonparametric test. (4 points)

(d) Is there any significant differences in the responses of the patients

Center 1

Center 2

Center 3

3,4,2, 1, 3, 2, 3,4,4, 3, 2, 4,4,4

1,2, 1,3,2,4, 1,2, 1,3, 1,2,2,2, 1,3

2,2, 1, 3, 2, 1, 1, 1 ,3,2 1, 1, 1, 1

of Center 1 and Center 3? (3 points)

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