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Conference on Applied Statistics in Agriculture
Analysis of variance; Group Divisible Designs; Intra-block analysis; Inter-block analysis; Variance Balanced Block Designs.
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The Analysis Of The Additive Mixed Model For Classes Of Non Orthogonal Designs, Christine A. Stidley
The Analysis Of The Additive Mixed Model For Classes Of Non Orthogonal Designs, Christine A. Stidley
Conference on Applied Statistics in Agriculture
Tests for fixed and random effects can be difficult to derive for nonorthogonal designs with mixed models. However, extensions of the intrablock and inter-block analyses of Balanced Incomplete Block Designs can often be obtained. Here we derive the extensions for the broad class of Group Divisible Designs. Decompositions of the design space are used to develop exact tests for fixed and random effects in the additive mixed model with random block effects. Conditions on the design which permit the standard use of the intra-block and inter-block test statistics are given. Important subclasses of Group Divisible Designs include Equireplicate Variance Balanced …