出版日期：2006-12-01 00:00:00

作品名稱（其他語言）：Stepwise Procedures Based on Ranks for Testing Superiority and Equivalence

著者：陳怡如; Chen, Yi -ju; 林國欽; Lin, Kuo-chin; 簡敏安; Chie, Ming-an

單位：淡江大學統計學系

出版者：臺北市：臺灣智慧科技與應用統計學會

著錄名稱、卷期、頁數：智慧科技與應用統計學報=Journal of Taiwan Intelligent Technologies and Applied Statistics 4(2)，頁115-134

摘要：逐步檢定程序可用來判斷新治療方法是否比k個原有的治療方法優越，或具有相等性效力，由於一般在使用逐步檢定時，往往假設常態母體，因此本文主要探討母體不為常態分配的情況下，如何將無母數檢定統計量應用於逐步檢定程序。由數值範例得知在常態母體下，判斷新治療方法是否與k個原有的治療方法具有優越性或相等性時，使用無母數逐步檢定方法與原有T逐步檢定方法的結論相同。此外，利用模擬結果顯示在非常態母體下，無母數逐步檢定方法的型Ⅰ族群誤差率可控制在所設定的顯著水準範圍內，且其檢定力比T逐步檢定方法的檢定力較高。 Stepwise testing procedures can be used to establish superiority and equivalence of a new treatment with respect to each of the k standard treatments. The regular assumptions of the stepwise testing procedures are normality. The objective of the present paper is to release the assumption and replace the t test statistic by nonparametric test statistics in stepwise testing procedures. The numerical example based on normality shows that the proposed nonparametric testing procedures and the multiple testing procedures using T test statistic reach the same conclusions. Simulation studies indicate that the proposed nonparametric testing procedures coincide the required condition that type Ⅰ familywise error rate is less than the specified significance level, and the proposed procedures have higher power than the stepwise T testing procedures under nonnormality.

關鍵字：逐步檢定程序; 型Ⅰ族群誤差率; 檢定力; Stepwise testing procedures; Type Ⅰ familywise error rate; Power

語言：zh_TW

ISSN：1812-433x

期刊性質：國內

國別：TWN

出版型式：電子版