Asymptotic properties of the ANOVA test under general loss functions

Katarzyna Adamczyk

Mathematica Applicanda (1993)

  • Volume: 22, Issue: 36
  • ISSN: 1730-2668

Abstract

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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.

How to cite

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Katarzyna Adamczyk. "Asymptotic properties of the ANOVA test under general loss functions." Mathematica Applicanda 22.36 (1993): null. <http://eudml.org/doc/293316>.

@article{KatarzynaAdamczyk1993,
abstract = {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.},
author = {Katarzyna Adamczyk},
journal = {Mathematica Applicanda},
keywords = {Small sample properties of tests; Analysis of variance and covariance},
language = {eng},
number = {36},
pages = {null},
title = {Asymptotic properties of the ANOVA test under general loss functions},
url = {http://eudml.org/doc/293316},
volume = {22},
year = {1993},
}

TY - JOUR
AU - Katarzyna Adamczyk
TI - Asymptotic properties of the ANOVA test under general loss functions
JO - Mathematica Applicanda
PY - 1993
VL - 22
IS - 36
SP - null
AB - 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.
LA - eng
KW - Small sample properties of tests; Analysis of variance and covariance
UR - http://eudml.org/doc/293316
ER -

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