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Polygonal designs with blocks of size k≤10

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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.

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Authors and Affiliations

  1. Department of Statistics, Iowa State University, Ames, IA 50011, USA (e-mail: jstufken@iastate.edu), , , , , , US

    John Stufken

  2. Department of Mathematics, Bucknell University, Lewisburg, PA 17837, USA, , , , , , US

    James H. Wright

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  1. John Stufken
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  2. James H. Wright
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Received January 2001

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Stufken, J., Wright, J. Polygonal designs with blocks of size k≤10. Metrika 54, 179–184 (2001). https://doi.org/10.1007/s001840100137

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  • DOI: https://doi.org/10.1007/s001840100137

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