Translator Disclaimer
August 2002 Modeling through group invariance: an interesting example with potential applications
Heng Li
Ann. Statist. 30(4): 1069-1080 (August 2002). DOI: 10.1214/aos/1031689017

Abstract

A particular linear group symmetry model, called the dyadic symmetry model, is studied in some detail. Statistical procedures analogous to (multivariate) analysis of variance are introduced. This model may be suitable for various kinds of data collected on pairs of sampling units. Examples include (complete) diallel cross experiments in genetics and social relations analysis in psychology, for which ad hoc methods of analysis have been developed independently in those disciplines.

Our approach is based entirely on formal data structure following the principle of group symmetry, and hence its applicability is not restricted to any specific substantive areas. This paper illustrates the benefits that can be derived from the exploration of mathematical meanings in the development of statistical methods.

Citation

Download Citation

Heng Li. "Modeling through group invariance: an interesting example with potential applications." Ann. Statist. 30 (4) 1069 - 1080, August 2002. https://doi.org/10.1214/aos/1031689017

Information

Published: August 2002
First available in Project Euclid: 10 September 2002

zbMATH: 1101.62341
MathSciNet: MR1926168
Digital Object Identifier: 10.1214/aos/1031689017

Subjects:

Rights: Copyright © 2002 Institute of Mathematical Statistics

JOURNAL ARTICLE
12 PAGES


SHARE
Vol.30 • No. 4 • August 2002
Back to Top