Journal
AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS
Volume 45, Issue 4, Pages 445-459Publisher
BLACKWELL PUBL LTD
DOI: 10.1111/1467-842X.00297
Keywords
average information; factor analytic; linear mixed models; residual maximum likelihood
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Factor analytic variance models have been widely considered for the analysis of multivariate data particularly in the psychometrics area. Recently Smith, Cullis & Thompson (2001) have considered their use in the analysis of multi-environment data arising from plant improvement programs. For these data, the size of the problem and the complexity of the variance models chosen to account for spatial heterogeneity within trials implies that standard algorithms for fitting factor analytic models can be computationally expensive. This paper presents a sparse implementation of the average information algorithm (Gilmour, Thompson & Cullis, 1995) for fitting factor analytic and reduced rank variance models.
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