Parametric location-scale and scale trend tests based on Levene's transformation

被引：16
|
作者：
Neuhäuser, M
Hothorn, LA
机构：
[1] Byk Gulden Pharmaceut, Dept Biometry, D-78467 Constance, Germany
[2] Univ Hannover, Dept Bioinformat, D-30419 Hannover, Germany
来源：
COMPUTATIONAL STATISTICS & DATA ANALYSIS | 2000年 / 33卷 / 02期
关键词：
multiple contrast test; Bartholomew's test; heteroscedasticity; Levene's transformation; location-scale trend test;
D O I：
10.1016/S0167-9473(99)00051-1
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In case of heteroscedasticity classical tests for trend in location do not control the type I error rate and have a reduced power. Since increasing locations are often accompanied by an increase in variability and apparent heteroscedasticity indicates that there are treatment differences, it is appropriate to consider an alternative involving trends in location as well as in scale. As a location-scale trend test we use the sum of a location and a scale trend test statistic. The investigated scale trend test is based on Levene's transformations. According to our simulation study we suggest to construct the tests using the principle of Bartholomew's likelihood ratio test. The different tests are applied to the data of a biomedical study. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：189 / 200
页数：12
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