A Procedure of Selecting All Good Populations Under Heteroscedasticity
學年 97
學期 1
出版（發表）日期 2008-10-01
作品名稱 A Procedure of Selecting All Good Populations Under Heteroscedasticity
作品名稱（其他語言）
著者 Wu, Shu-Fei; Yu, Yuh-Ru
單位 淡江大學統計學系
出版者 Philadelphia: Taylor & Francis Inc.
著錄名稱、卷期、頁數 Communications in Statistics - Simulation and Computation 38(1), pp.46-57
摘要 Suppose that k normal populations with means μ1,…, μ k and variances are considered. When variances are unknown and equal, Lam (1986) proposed a procedure to select all good populations, where a population is good if μ i ≥ μ[k] − ϵ and μ[k] is the largest normal mean among k normal means. When variances are unknown and possibly unequal, a two-stage procedure selecting all good populations such that the probability of correct selection being at least a pre-specified value of P* is proposed. Without decreasing the probability of correct selection, the confidence interval of pairwise differences of all means to the largest normal mean is presented with the selection procedure. When the additional samples at the second stage could be costly, a data-analysis one-stage procedure selecting all good population is proposed. At last, one real-life example is given to illustrate all procedures.
關鍵字 One-stage;Percentage points;Percentage points;Select all good populations whose mean does not fall too much below the best one;Simultaneous inference;Student t distribution;Two-stage
語言 en
ISSN 0361-0918; 1532-4141
期刊性質 國外
收錄於 SCI EI
產學合作
通訊作者 Wu, Shu-Fei
審稿制度
國別 USA
公開徵稿
出版型式 紙本
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