Detecting active effects in unreplicated designs

被引:2
作者
Angelopoulos, P. [1 ]
Koukouvinos, C. [1 ]
机构
[1] Natl Tech Univ Athens, Dept Math, GR-15773 Athens, Greece
关键词
unreplicated design; factorial; effect; outliers;
D O I
10.1080/02664760701833008
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
Unreplicated factorial designs pose a difficult problem in analysis because there are no degrees of freedom left to estimate the error. Daniel [Technometrics 1 (1959), pp. 311-341] proposed an ingenious graphical method that does not require sigma to be estimated. Here we try to put Daniel's method into a formal framework and lift the subjectiveness that carries. A simulation study has been conducted that shows that the proposed method behaves better than Lenth's [Technometrics 31 (1989), pp. 469-473] popular method.
引用
收藏
页码:277 / 281
页数:5
相关论文
共 11 条
[1]   Quick, easy, and powerful analysis of unreplicated factorial designs [J].
Aboukalam, MAF .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2005, 34 (05) :1169-1175
[2]   A new quantitative method for analysing unreplicated factorial designs [J].
Chen, Y ;
Kunert, J .
BIOMETRICAL JOURNAL, 2004, 46 (01) :125-140
[3]  
CHEN Y, 2002, THESIS U DORTMUND
[4]  
Daniel C., 1959, TECHNOMETRICS, V1, P311, DOI [10.1080/00401706.1959.10489866, DOI 10.1080/00401706.1959.10489866]
[5]   PROCEDURES FOR THE IDENTIFICATION OF MULTIPLE OUTLIERS IN LINEAR-MODELS [J].
HADI, AS ;
SIMONOFF, JS .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1993, 88 (424) :1264-1272
[6]  
Hamada M, 1998, STAT SINICA, V8, P1
[7]   QUICK AND EASY ANALYSIS OF UNREPLICATED FACTORIALS [J].
LENTH, RV .
TECHNOMETRICS, 1989, 31 (04) :469-473
[8]   The analysis of unreplicated factorial experiments using all possible comparisons [J].
Miller, A .
TECHNOMETRICS, 2005, 47 (01) :51-63
[9]  
Voss DT, 2006, STAT SINICA, V16, P227
[10]  
VOSS DT, 2006, SCREENING METHODS EX, P268