Single-stage sampling procedure of the t best populations under heteroscedasticity

被引:4
作者
Wen, Miin-Jye [1 ]
Huang, Li-Ching [2 ]
Zhong, Junjiang [1 ,3 ]
机构
[1] Natl Cheng Kung Univ, Dept Stat, 1 Univ Rd, Tainan 70101, Taiwan
[2] Vanderbilt Univ, Ctr Quantitat Sci, 221 Kirkland Hall, Nashville, TN 37235 USA
[3] Xiamen Univ Technol, Sch Appl Math, Xiamen, Peoples R China
关键词
Normal distribution; t distribution; unknown and unequal variance; INTERVAL ESTIMATION; BEST POPULATIONS; SELECTION; VARIANCES;
D O I
10.1080/03610926.2016.1206935
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Given k(>= 3) independent normal populations with unknown means and unknown and unequal variances, a single-stage sampling procedure to select the best t out of k populations is proposed and the procedure is completely independent of the unknown means and the unknown variances. For various combinations of k and probability requirement, tables of procedure parameters are provided for practitioners.
引用
收藏
页码:9265 / 9273
页数:9
相关论文
共 12 条
[1]   SUBSET-SELECTION OF THE T-BEST POPULATIONS [J].
BOFINGER, E ;
MENGERSEN, K .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1986, 15 (10) :3145-3161
[2]  
CARROLL RJ, 1975, COMMUN STAT, V4, P987, DOI 10.1080/03610927508827308
[3]   SINGLE-STAGE INTERVAL ESTIMATION OF THE LARGEST NORMAL-MEAN UNDER HETEROSCEDASTICITY [J].
CHEN, HJ ;
LAM, K .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1989, 18 (10) :3703-3718
[4]   PROCEDURES FOR FIXED-WIDTH INTERVAL ESTIMATION OF LARGEST NORMAL MEAN [J].
CHEN, HJ ;
DUDEWICZ, EJ .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1976, 71 (355) :752-756
[5]   Optimal confidence interval for the largest normal mean under heteroscedasticity [J].
Chen, Hubert J. ;
Wen, Miin-Jye .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2006, 51 (02) :982-1001
[6]   Single-stage analysis of variance under heteroscedasticity [J].
Chen, SY ;
Chen, HJ .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1998, 27 (03) :641-666
[7]   One-stage and two-stage statistical inference under heteroscedasticity [J].
Chen, SY .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2001, 30 (04) :991-1009
[8]  
DUDEWICZ EJ, 1975, SANKHYA SER B, V37, P28
[9]   NEW TABLES FOR MULTIPLE COMPARISONS WITH A CONTROL (UNKNOWN VARIANCES) [J].
DUDEWICZ, EJ ;
RAMBERG, JS ;
CHEN, HJ .
BIOMETRISCHE ZEITSCHRIFT, 1975, 17 (01) :13-26
[10]  
Fichter L. S., 1976, THESIS