In an experiment designed to compare two treatments on a three-category response, a researcher expects the conditional

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In an experiment designed to compare two treatments on a three-category response, a researcher expects the conditional distributions to be approximately (0.2, 0.2, 0.6) and (0.3, 0.3, 0.4).

a. With α = 0.05, find the approximate power using (i) X2, and (ii) G2 to compare the distributions with 100 observations for each treatment. Compare results.

b. What sample size is needed for each treatment for the tests in part (a) to have approximate power 0.90?

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