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http://dx.doi.org/10.5351/KJAS.2016.29.7.1155

Mixed-effects model by projections  

Choi, Jaesung (Department of statistics, Keimyung University)
Publication Information
The Korean Journal of Applied Statistics / v.29, no.7, 2016 , pp. 1155-1163 More about this Journal
Abstract
This paper deals with an estimation procedure of variance components in a mixed effects model by projections. Projections are used to obtain sums of squares instead of using reductions in sums of squares due to fitting both the assumed model and sub-models in the fitting constants method. A projection matrix can be obtained for the residual model at each step by a stepwise procedure to test the hypotheses. A weighted least squares method is used for the estimation of fixed effects. Satterthwaite's approximation is done for the confidence intervals for variance components.
Keywords
fitting constants method; mixed-effects; projection matrices; stepwise procedure; weighted least squares method;
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