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Variance components in one-factor random model by projections  

Choi, Jae-Sung (Department of Statistics, Keimyung University)
Publication Information
Journal of the Korean Data and Information Science Society / v.22, no.3, 2011 , pp. 381-387 More about this Journal
Abstract
This paper suggests a method for estimating components of variance in one-factor random model. Estimates of variance components are given by the method of moments. Sums of squares due to variance sources are obtained by projections. This paper also shows how to use eigenvalues for getting the coefficients of variance components in the expression of the expectations of the mean squares. The suggested method shows easier and faster than the method of Harley's synthesis.
Keywords
Eigenvalue; method of moments; projection; random model; variance components;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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1 Choi, J. (2010). A mixed model for repeated split-plot data. Journal of the Korean Data & Information Science Society, 21, 1-9.
2 Galecki, A. T. (1994). General class of covariance structures for two or more repeated factors in longitudinal data analysis. Communications in Statistics-Theory and Methods, 23, 3105-3119.   DOI   ScienceOn
3 Graybill, F. A. (1976). Theory and application of the linear model, Wadsworth Publishing Company, Inc., Belmont.
4 Graybill, F. A. (1983). Matrices with applications in statistics, Wadsworth Publishing Company, Inc., Belmont.
5 Hartley, H. O. (1967). Expectations, variances and covariances of ANOVA mean squares by "synthesis". Biometrics, 23, 467-480.
6 Johnson, R. A. and Wichern, D. W. (1988). Applied multivariate statistical analysis, 2nd edition, Prentice Hall, Inc., Englewood Cliffs.
7 McCullagh, P. and Nelder, J. A. (1989). Generalized linear models, 2nd edition, Chapman and Hall, London.
8 Milliken, G. A. and Johnson, D. E. (1984). Analysis of messy data, Van Nostrand Reinhold, New York.
9 Searle, S. R. (1971). Linear models, John Wiley and Sons, Inc., New York.
10 Choi, J. (2008a). A marginal logit mixed-effects model for repeated binary response data. Journal of the Korean Data & Information Science Society, 19, 413-420.
11 Choi, J. (2008b). A marginal probability model for repeated polytomous response data. Journal of the Korean Data & Information Science Society, 19, 577-585.