A health-management corporation has a series of 12 clinics with five staff physi

Question

A health-management corporation has a series of 12 clinics with five staff physicians at each clinic. The corporation wishes to evaluate the differences among their clinics and physicians in managing blood pressure in hypertensive patients. Ten hypertensive patients were randomly assigned to each of two randomly selected physicians within each of four randomly selected clinics. An outline of the sources of variability, degrees of freedom, and expected mean squares in the analysis of variance resulting from the study is as follows: The appropriate denominator for the F-test of the hypothesis that the clinic means are all the same is) A. the calculated mean square for clinics B. the calculated mean square for physicians within clinics C. the calculated mean square for patients within physicians within clinics D. the calculated mean square for the total sample E. none of the above

Explanation / Answer

The F-statistic is this ratio:

F = variation between sample means / variation within the samples.

The strategy used is to compare the variability among the group means with the variability within the groups. If the variability among the sample group means is approximately what one might expect from the variability within the groups, we conclude that the group means are not significantly different from one another.

Therefore, for the appropriate denominator for the F-test of the hypothesis that the clinic means are all the same is the calculated mean square for patients within physicians within clinics.

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