A Simulation Study of Multiple Comparisons with the Average under Heteroscedasticity
學年 92
學期 1
出版(發表)日期 2004-01-01
作品名稱 A Simulation Study of Multiple Comparisons with the Average under Heteroscedasticity
作品名稱(其他語言)
著者 吳淑妃; Wu, Shu-fei; Liao, B. X.
單位 淡江大學統計學系
出版者 Taylor & Francis
著錄名稱、卷期、頁數 Communications in Statistics : Simulation and Computation 33(3), pp. 639-659
摘要 In many experimental situations, the average treatment performance within its own group is used as a benchmark to be compared with each individual treatment. Multiple comparison procedures with the average (MCA) are thus proposed. A simulation comparison study of the traditional MCA, the single-stage MCA and the two-stage MCA for normal distribution under heteroscedasticity is investigated by the Monte-Carlo techniques in this paper. It was found that the two-stage MCA has shorter confidence length than the single-stage MCA for most cases and it is also more robust for non-normal distributions. Therefore, the two-stage MCA is recommended. But when the additional samples at the second stage could be costly, the data-analysis oriented single-stage MCA can be used. A biometrical example to illustrate the single-stage MCA and the two-stage MCA with equal confidence length is also given in this article.
關鍵字 Two-stage MCA, Single-stage MCA, Monte-Carlo simulation
語言 en
ISSN 0361-0918
期刊性質 國外
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產學合作
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國別 TWN
公開徵稿
出版型式 ,電子版
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