Estimation for two-way analysis of variance with correlated errors
- 1 January 1991
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Simulation and Computation
- Vol. 20 (1) , 325-339
- https://doi.org/10.1080/03610919108812955
Abstract
We consider some estimation and distribution problems encountered in a two way analysis of variance model with only one observation per cell, errors correlated in one level, and the variances are not necessarily equal. The independence criteria for the row and interaction mean sum of squares and distribution of the maximum likelihood estimator of the correlation coefficient are given.Keywords
This publication has 10 references indexed in Scilit:
- A Review of Inference Procedures for the Intraclass Correlation Coefficient in the One-Way Random Effects ModelInternational Statistical Review, 1986
- A Variance Test for Detecting Species Associations, with Some Example ApplicationsEcology, 1984
- Maximum likelihood estimation in a two-way analysis of variance with correlated errors in one classificationBiometrika, 1981
- Two-Way Analysis of Variance with Correlated ErrorsInternational Statistical Review, 1981
- Unbiased Estimation of Certain Correlation CoefficientsThe Annals of Mathematical Statistics, 1958
- Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way ClassificationThe Annals of Mathematical Statistics, 1954
- The Role of Correlation in Analysis of VariancePsychometrika, 1948
- Sample Criteria for Testing Equality of Means, Equality of Variances, and Equality of Covariances in a Normal Multivariate DistributionThe Annals of Mathematical Statistics, 1946
- Note on the Independence of Certain Quadratic FormsThe Annals of Mathematical Statistics, 1943
- Note on CorrelationsThe Annals of Mathematical Statistics, 1938