Question: 16.57 CHALLENGE When is a permutation test valid? You want to test the equality of the means of two populations. Sketch density curves for two

16.57 CHALLENGE When is a permutation test valid?

You want to test the equality of the means of two populations. Sketch density curves for two populations for which

(a) a permutation test is valid but a t test is not.

(b) both permutation and t tests are valid.

(c) a t test is valid but a permutation test is not.

Exercises 16.58 to 16.72 concern permutation tests for hypotheses stated in terms of a variety of parameters. In some cases, there are no standard formula-based tests for the hypotheses in question. These exercises illustrate the flexibility of permutation tests.

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