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Statistical and Computational Aspects of Mixed Model Analysis

Arthur P. Dempster, Chandu M. Patel, Murray R. Selwyn and Arthur J. Roth

Journal of the Royal Statistical Society Series C, 1984, vol. 33, issue 2, 203-214

Abstract: Statistical and computational techniques for the analysis of data from a normal mixed model with two variances are discussed and illustrated. Two iterative algorithms for restricted maximum likelihood estimation (REML) of the variances are compared. It is shown that these algorithms are much simplified by the use of a preliminary eigenvalue–eigenvector analysis. Two numerical examples are used to illustrate the theory by showing how variance estimates are used in the estimation and testing of fixed effects in the model. Monte Carlo simulations indicate that actual alpha levels of the tests are close to the nominal levels despite the estimation of the variance components. Diagnostic techniques are employed to assess model assumptions.

Date: 1984
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Journal of the Royal Statistical Society Series C is currently edited by R. Chandler and P. W. F. Smith

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