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March, 1983 Optimal Design and Refinement of the Linera Model with Applications to Repeated Measurements Designs
Joachim Kunert
Ann. Statist. 11(1): 247-257 (March, 1983). DOI: 10.1214/aos/1176346075

Abstract

The information matrices of one design in a finer and a simpler linear model are compared to each other. The orthogonality condition ensuring that both matrices are equal is examined in the model for repeated measurements designs which was considered e.g. by Cheng and Wu (1980). Examples of unbalanced designs fulfilling the orthogonality condition are shown to be optimum. Moreover, nearly strongly balanced generalized latin squares are introduced and their universal optimality is proved, if the numbers of units and periods are sufficiently large.

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Joachim Kunert. "Optimal Design and Refinement of the Linera Model with Applications to Repeated Measurements Designs." Ann. Statist. 11 (1) 247 - 257, March, 1983. https://doi.org/10.1214/aos/1176346075

Information

Published: March, 1983
First available in Project Euclid: 12 April 2007

zbMATH: 0522.62054
MathSciNet: MR684882
Digital Object Identifier: 10.1214/aos/1176346075

Subjects:
Primary: 62K05
Secondary: 62K10, 62P10

Rights: Copyright © 1983 Institute of Mathematical Statistics

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Vol.11 • No. 1 • March, 1983
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