Fixing Size of a Sample in Complex Strategies

Document Type

Book Chapter

Publication Title

Indian Statistical Institute Series

Abstract

Still pursuing the Chebyshev’s inequality’s role in setting the size of a sample we examine how it may work while employing unequal probability or even equal probability sampling coupled with several alternative estimators for population mean or total. Importantly we need super-population modeling and this explains why we took a break after Chapter 4 to resume the topic. We provide solutions separately when (1) design variance of an unbiased estimator for a total or mean is simply derived and (2) it is not so but an unbiased variance estimator formula works easily. But we note how an insurmountable rock is encountered if we consider Randomized Response (RR) strategies needed when stigmatizing issues are of interest.

First Page

231

Last Page

237

DOI

10.1007/978-981-19-1418-8_13

Publication Date

1-1-2022

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