Question: Consider the random group estimator of the variance from Section 9.2.2. The parameter of interest is Î¸ =U. A simple random sample with replacement of

Consider the random group estimator of the variance from Section 9.2.2. The parameter of interest is Î¸ =U. A simple random sample with replacement of size n is taken from the population. The sample is divided into R random groups, each of size m. Let Ë†Î¸ r be the sample mean of them observations in random group r, let

And let á¹¼2 (Ë†Î¸) be the variance estimator defined in (9.5). Show that

Where

K., m-1 R-311/21

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