Geodesic
Asymptotic properties of the ANOVA test under general loss functions
Mathematica Applicanda, Tome 22 (1993) no. 36, pp. 75-97.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The author studies the classical analysis of variance problem under nonnormal distributions involving a location parameter (so that these distributions really do not involve an unknown variance). The quadratic function in the analysis of variance decomposition is replaced by a convex even function w, and the asymptotic distribution of the corresponding test statistic under the null hypothesis is found to be a chi-squared distribution. Several specific choices of w are considered in detail.
DOI : 10.14708/ma.v22i36.1818
Classification : 62F04 (62J10)
Mots-clés : Small sample properties of tests, Analysis of variance and covariance 
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Katarzyna Adamczyk. Asymptotic properties of the ANOVA test under general loss functions. Mathematica Applicanda, Tome 22 (1993) no. 36, pp.  75-97. doi : 10.14708/ma.v22i36.1818. http://geodesic.mathdoc.fr/articles/10.14708/ma.v22i36.1818/

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