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Comparing several population means: a parametric bootstrap method, and its comparison with usual ANOVA F test as well as ANOM

類別:期刊論文

學年 / 學期:97-2

出版日期:2009-06-27 00:00:00

著者:Lin, Jyh-jiuan

單位:淡江大學統計學系

出版者:Springer-Verlag

著錄名稱、卷期、頁數:Computational Statistics 25(1), p.71-95

摘要:This paper deals with testing the equality of several homoscedastic normal population means. We introduce a newly developed computational approach test (CAT), which is essentially a parametric bootstrap method, and discuss its merits and demerits. In the process of studying the CAT’s usefulness, we compare it with the traditional one-way ANOVA’s F test as well as the analysis of means (ANOM) method. Further, the model robustness of the above three methods have been studied under the ‘t-model’. The motivation behind the proposed CAT is to provide the applied researchers a statistical tool to carry out a comparison of several population means, in a parametric setup, without worrying about the sampling distribution of the inherent test statistic. The CAT can be used to test the equality of several means when the populations are assumed to be heteroscedastic t-distributions.

語言:en

ISSN:0943-4062

期刊性質:國外

收錄於:SCI

通訊作者:Chang, Ching-Hui

審稿制度:否

國別:GBR

出版型式:電子版,紙本