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A Population Approach to Analysis of Variance Models

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  • Inge S. Helland

Abstract

Several authors have contributed to what can now be considered a rather complete theory for analysis of variance in cases with orthogonal factors. By using this theory on an assumed basic reference population, the orthogonality concept gives a natural definition of independence between factors in the population. By looking upon the treated units in designed experiments as a formal sample from a future population about which we want to make inference, a natural parametrization of expectations and variances connected to such experiments arises. This approach seems to throw light upon several controversial questions in the theory of mixed models. Also, it gives a framework for discussing the choice of conditioning in models

Suggested Citation

  • Inge S. Helland, 1998. "A Population Approach to Analysis of Variance Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 25(1), pages 3-15, March.
    • Handle: RePEc:bla:scjsta:v:25:y:1998:i:1:p:3-15
    DOI: 10.1111/1467-9469.t01-1-00084
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