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\iteman{io-port 06004037}
\itemau{Hedayat, A.S.; Pesotan, H.}
\itemti{Coexistence of a family of systematic sampling designs with positive second order inclusion probabilities and block designs.}
\itemso{J. Comb. Inf. Syst. Sci. 17, No. 1-2, 113-122 (1992).}
\itemab
Summary: Systematic sampling designs are essential and indeed indispensable survey designs for sampling populations with evolving frames. They are also useful and easy-to-implement survey designs for populations whose units are organized in an orderly way. Systematic sampling designs come in various forms with a variety of properties. However, most systematic sampling designs suffer from one major drawback: no variances can be estimated unbiasedly. One family of systematic sampling designs which might allow the unbiased estimation of all quadratic forms of the survey variables consists of designs with a single start but with multiple distances. The task is to select these various distances judiciously. It is shown that this problem is equivalent to a problem in design of experiments. The counterpart problem in the design of experiments is much studied and the related literature is rich. Through this interplay between survey sampling and the design of experiments several sampling problems in the area of systematic sampling are solved.
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