Polygonal designs with blocks of size k ≤ 10

John Stufken; James H. Wright

doi:10.1007/s001840100137

Polygonal designs with blocks of size k ≤ 10

John Stufken, James H. Wright

Arizona State University

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

The use of polygonal designs is motivated by the desire to avoid the selection of contiguous units in a sample from an ordered finite population. However very little is known about polygonal designs that have block size 5 or more. We present new polygonal designs with blocks of sizes 5 through 10, including the first designs with block sizes 9 and 10. For block sizes 5 through 7, we identify, with one possible exception, all values for the number of varieties for which a polygonal design exists.

Original language	English (US)
Pages (from-to)	179-184
Number of pages	6
Journal	Metrika
Volume	54
Issue number	2
DOIs	https://doi.org/10.1007/s001840100137
State	Published - Dec 1 2001

Keywords

Contiguous units
Cyclic block designs
Finite population sampling
Generator blocks

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/s001840100137

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AB - The use of polygonal designs is motivated by the desire to avoid the selection of contiguous units in a sample from an ordered finite population. However very little is known about polygonal designs that have block size 5 or more. We present new polygonal designs with blocks of sizes 5 through 10, including the first designs with block sizes 9 and 10. For block sizes 5 through 7, we identify, with one possible exception, all values for the number of varieties for which a polygonal design exists.

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KW - Finite population sampling

KW - Generator blocks

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Polygonal designs with blocks of size k ≤ 10

Abstract

Keywords

ASJC Scopus subject areas

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