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9. In each situation, determine whether one-way analysis of variance is an appro

ID: 3375931 • Letter: 9

Question

9. In each situation, determine whether one-way analysis of variance is an appropriate method for analyzing the data described. Briefly explain why or why not for each part. a) A researcher compares the mean blood pressures of men over 50 years old for three different ethnic groups. He samples 100 men in each ethnic group and measures their blood pressures. b) A psychiatrist compares four treatment programs for clinical depression. The response variable is whether a patient shows improvement after two months of treatment or not. 20 patients are randomly allocated to each treatment.

Explanation / Answer

(a)

One-way Analysis of Variance is an appropriate method for analysis of the data. REASON: Here, the independent variable consists of 3 categorical, independent groups.

(b)

One-way Analysis of Variance is not an appropriate method for analysis of the data. REASON: Here, the independent variable consists of 3 categorical groups, but they are not independent. The same group is measured before and two months after treatment.