The analysis of unreplicated factorial experiments using all possible comparisons

被引:17
作者
Miller, A [1 ]
机构
[1] Univ Auckland, Dept Stat, Auckland 1, New Zealand
关键词
active contrast; geometric approach; half-normal plot; Lenth's method; likelihood ratio test; model selection;
D O I
10.1198/004017004000000608
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
This article proposes a new procedure for analyzing small unreplicated factorial experiments. This procedure is based on using likelihood ratio tests to compare competing models. An easy method of implementing the procedure is presented and then demonstrated on a real set of data. Results of a simulation study, are presented that indicate that the new, procedure compares favorably with Lenth's method. Tables of constants are supplied that allow the new procedure to he easily applied to the analysis of 8-run, 12-run, and 16-run experiments.
引用
收藏
页码:51 / 63
页数:13
相关论文
共 29 条
[1]   A robust analysis for unreplicated factorial experiments [J].
Aboukalam, MAF ;
Al-Shiha, AA .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2001, 36 (01) :31-46
[2]  
Al-Shiha AA, 1999, BIOMETRICAL J, V41, P659
[3]  
Al-Shiha AA, 2000, BIOMETRICAL J, V42, P605, DOI 10.1002/1521-4036(200009)42:5<605::AID-BIMJ605>3.0.CO
[4]  
2-Z
[5]  
[Anonymous], 1996, STAT METHODS GEOMETR
[6]  
[Anonymous], 1959, Technometrics
[8]   SIGNIFICANCE TESTS FOR SATURATED ORTHOGONAL ARRAYS [J].
BERK, KN ;
PICARD, RR .
JOURNAL OF QUALITY TECHNOLOGY, 1991, 23 (02) :79-89
[9]   AN ANALYSIS FOR UNREPLICATED FRACTIONAL FACTORIALS [J].
BOX, GEP ;
MEYER, RD .
TECHNOMETRICS, 1986, 28 (01) :11-18
[10]  
Box GEP., 1978, Statistics for experimenters