Maximum-likelihood estimation for the mixed analysis of variance model

1967/01/01 by H. O. Hartley, J. N. K. Rao · 4 citations
Mathematics · Decision Sciences · #Advanced Statistical Methods and Models #Optimal Experimental Design Methods #Statistical Methods and Inference

paper · doi:10.1093/biomet/54.1-2.93

openalex publication_date 1967/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26

Abstract

A procedure is developed for the maximum-likelihood estimation of the unknown constants and variances included in the general mixed analysis of variance model, involving fixed and random factors and interactions. The method applies to all cases where the design matrices satisfy certain conditions. The consistency and asymptotic efficiency of the estimates are discussed. Tests of hypotheses and confidence regions are derived.

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