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Automating the analysis of variance of orthogonal designs

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  • Großmann, Heiko

Abstract

A new algorithm is presented which for the wide class of orthogonal designs is capable of deducing the appropriate analysis of variance from the design only. As a consequence the use of a model equation for specifying the analysis becomes dispensable. The proposed approach can simplify the analysis of complex models with iterative crossing and nesting of factors, where treatment factors have fixed and plot factors have random effects. An implementation is described and its use is illustrated with several examples.

Suggested Citation

  • Großmann, Heiko, 2014. "Automating the analysis of variance of orthogonal designs," Computational Statistics & Data Analysis, Elsevier, vol. 70(C), pages 1-18.
    • Handle: RePEc:eee:csdana:v:70:y:2014:i:c:p:1-18
    DOI: 10.1016/j.csda.2013.08.014
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    References listed on IDEAS

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    1. G. N. Wilkinson & C. E. Rogers, 1973. "Symbolic Description of Factorial Models for Analysis of Variance," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 22(3), pages 392-399, November.
    2. R. W. Payne & G. N. Wilkinson, 1977. "A General Algorithm for Analysis of Variance," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(3), pages 251-260, November.
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