On a representation of orthogonal components in ANOVA and power of a test of heteroscedasticity in the randomised complete block design.
by
Brenton R. Clarke
Mathematics and Statistics, Division of Science and Engineering, Murdoch University, Perth, Western Australia
Coauthors: Antony Gennaro Monaco

A representation of orthogonal components in Clarke (2002) that derives from the history of the development of ANOVA is described for the randomised complete block design. The representation of the residual contrasts leads to a test of heteroscedasticity. It is a special case of the more general test in experimental design described in Clarke and Godolphin (1992). In addition to discussing the representation we consider the power of the test for heteroscedasticity against possible alternatives.

References: Clarke, B.R. (2002) A representation of orthogonal components in analysis of variance, International Mathematical Journal, Vol. 1, 133-147

Clarke, B.R. and Godolphin, E.J. (1992) Uncorrelated residuals and an exact test for two variance components in experimental design. Communications in Statistics, Part A-Theory and Methods, Vol. 21, 2501-2526.

Monaco, A.G. (1994) Tests for homogeneity of variance applied to some elementary experimental designs. Honours Thesis in Mathematics, Murdoch University Library.

Date received: August 23, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahg-23.