Under what condition is a permutation test for comparing two populations valid?
A)The populations have the same mean under the null hypothesis.
B)The populations are identical under the null hypothesis.
C)The two populations have the same standard deviation under both the null and alternative hypotheses.
D)Under all circumstances-the permutation test does not require any particular assumptions and hence is very powerful.

Question

Quizplus · Accepted Answer

In a permutation test, the null hypothesis is that the two populations are identical. Thus, the test is only valid under this condition. Choice A is incorrect because the populations may have different means under the null hypothesis. Choice C is incorrect because the standard deviation can vary between the two populations. Choice D is incorrect because permutation tests do make assumptions about the null hypothesis.

Under What Condition Is a Permutation Test for Comparing Two