Approximating the general non-normal variance-ratio sampling distributions

1 June 1964

journal article
Published by Oxford University Press (OUP) in Biometrika

Vol. 51 (1-2) , 83-95
https://doi.org/10.1093/biomet/51.1-2.83

Abstract

Laguerre series expansions are developed of the frequency distributions of the ‘non-normal’ variance-ratios used for testing (i) the homogeneity of a set of means in case of oneway classification for analysis of variance with non-identical group to group error distribu tions; and (ii) the compatibility of two population variances. The effect of non-normality on the distributions is illustrated numerically.

Keywords

SAMPLING DISTRIBUTIONS
VARIANCE RATIO
NORMAL VARIANCE
RATIO SAMPLING
APPROXIMATING THE GENERAL

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