On the maximal invariance of manova step down procedure statistics
- 1 January 1984
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 13 (20) , 2571-2581
- https://doi.org/10.1080/03610918408828844
Abstract
Subbaiah and Mudhol kar (1978) remark the general mu1tivariate linear hypothesis testing step down procedure statistics do not appear to be maximal invariants under nonsingular lower triangular matrix transformations of the original variates. This paper proves the maximal invariance of these statistics. The invariance results are essential to study the power functions of the step down procedures for MANOVA problems. An example is given to show that such power function studies are very involved.Keywords
This publication has 5 references indexed in Scilit:
- A test of a multivariate normal mean with composite hypotheses determined by linear inequalitiesBiometrika, 1980
- A Comparison of Two Tests for the Significance of a Mean VectorJournal of the American Statistical Association, 1978
- Generalization of Sverdrup's Lemma and its Applications to Multivariate Distribution TheoryThe Annals of Mathematical Statistics, 1965
- Step-Down Procedure in Multivariate AnalysisThe Annals of Mathematical Statistics, 1958
- The Non-Central Wishart Distribution and Certain Problems of Multivariate StatisticsThe Annals of Mathematical Statistics, 1946