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  • Cumulants and partition lattices VI. variances and covariances of mean squares

  • Part of
  • T. P. Speed, H. L. Silcock
  • Journal:
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 44 / Issue 3 / June 1988
    Published online by Cambridge University Press:
    09 April 2009, pp. 362-388
    Print publication:
    June 1988
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  • Formulae are given for the variances and covariances for mean squares in anova under the broadest possible assumptions. The results of ther authors are obtained by specializing appropriately: these include ones concerning randomization and/or random sampling models, as well as additive (linear) models consisting of mutually independent sets of exchangeable effects. Although the illustrations given refer only to doubly and triply-indexed arrays, the approach is quite general. Particular attention is drawn to the generalized cumulants (and their natural unbiased estimators) which vanish when additive models are assumed.