Preprint #96-24
On a Class of Partially Balanced Incomplete Block
Designs with Applications in Survey Sampling
by
Kyoungah See, Sung Y. Song and John Stufken
Abstract
We revisit the existence and construction problems of balanced
sampling plans excluding contiguous units, a class of designs
introduced and studied by Hedayat, Rao and Stufken (1988a,b). A
link between these designs and a class of partially balanced
incomplete block designs is established, and a Fisher-type
inequality is shown to hold. Special attention is given to those
designs that attain equality in this Fisher-type inequality. Some
new designs are obtained by construction, while the nonexistence
of designs is considered for some other sets of parameters.
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