An unbiased estimator of the variance of the estimator of μ follows from the fact that the samples in each stratum are independent of one another.

Question

Quizplus · Accepted Answer

The statement is true because the variance of the estimator of μ in each stratum is given by the formula s^2/n, where s is the sample standard deviation and n is the sample size in the stratum. Since the samples in each stratum are independent of each other, the overall variance of the estimator of μ can be estimated as the weighted sum of the variances in each stratum, where the weights are proportional to the sample sizes. This provides an unbiased estimator of the variance of the estimator of μ.

An Unbiased Estimator of the Variance of the Estimator of μ