Methods and Theory of Sample Design is concerned with the theory underlying the widely used practical methods of survey sampling. It covers the basic techniques of simple random sampling, stratification, systematic sampling, cluster and multi-stage sampling, and probability proportional to size sampling; methods of variance estimation for complex sample designs, including the Taylor series expansion method, balanced repeated replications, and jackknife methods; and several specialized topics, including stratification and subclasses, multi-phase or double sampling, ratio and regression estimation, selection with unequal probabilities without replacement, non-response adjustments, and imputation. The course examines the nature of the techniques, practical applications, and the theory supporting the methods.
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