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November, 1978 On the Properties of Proper $(M, S)$ Optimal Block Designs
Michael A. Jacroux
Ann. Statist. 6(6): 1302-1309 (November, 1978). DOI: 10.1214/aos/1176344375

Abstract

Properties of designs which are $(M, S)$ optimal within various classes of proper block designs are studied. The classes of designs considered are not restricted to connected designs. Connectedness is shown to be a property generally possessed by designs which are $(M, S)$ optimal within these more general classes of designs. In addition, we show that the complement of any proper binary $(M, S)$ optimal design is $(M, S)$ optimal within an appropriate class of complementary designs and that the dual of any proper equireplicated $(M, S)$ optimal design is $(M, S)$ optimal within an appropriate class of dual designs.

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Michael A. Jacroux. "On the Properties of Proper $(M, S)$ Optimal Block Designs." Ann. Statist. 6 (6) 1302 - 1309, November, 1978. https://doi.org/10.1214/aos/1176344375

Information

Published: November, 1978
First available in Project Euclid: 12 April 2007

zbMATH: 0405.62059
MathSciNet: MR523764
Digital Object Identifier: 10.1214/aos/1176344375

Subjects:
Primary: 62K05

Keywords: $(M, S)$ optimal , complement , connected , dual , optimal design

Rights: Copyright © 1978 Institute of Mathematical Statistics

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Vol.6 • No. 6 • November, 1978
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