Comparison of statistical procedures in analytic hierarchy process using a ranking test

被引:13
作者
Basak, I [1 ]
机构
[1] Penn State Univ, Altoona, PA 16601 USA
关键词
iteration procedures; maximum likelihood estimation; priority weights; rank-based procedures; uniformly minimum variance unbiased estimation;
D O I
10.1016/S0895-7177(98)00174-5
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Several statistical procedures for estimation of the priority parameters in the setup of the Analytic Hierarchy Process (AHP) exist in the literature. The purpose of this article is to make appropriate comparisons of such statistical methods. Pairwise comparison matrices are simulated using different statistical distributions of the error part used in the procedures. Priority parameters are estimated for each simulated pairwise comparison matrix using the method suggested. Standard nonparametric statistical procedures are applied to check whether the order of the priority estimates is consistent with that of their parameter values irrespective of the choice of particular statistical procedure. Statistical procedures based on the reciprocal matrices are also compared with the eigenvalue method. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:105 / 118
页数:14
相关论文
共 11 条
[1]  
[Anonymous], STAT INFERENCE BASED
[2]  
[Anonymous], 1980, ANAL HIERARCHY PROCE
[5]  
BASAK I, 1986, THESIS U PITTSBURGH
[6]   STATISTICAL-THEORY FOR THE RATIO MODEL OF PAIRED COMPARISONS [J].
CARRIERE, J ;
FINSTER, M .
JOURNAL OF MATHEMATICAL PSYCHOLOGY, 1992, 36 (03) :450-460
[7]   MULTIPLE COMPARISONS USING RANK SUMS [J].
DUNN, OJ .
TECHNOMETRICS, 1964, 6 (03) :241-&
[8]  
GENEST C, 1996, 4 INT S AN HIER PROC
[9]   USE OF RANKS IN ONE-CRITERION VARIANCE ANALYSIS [J].
KRUSKAL, WH ;
WALLIS, WA .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1952, 47 (260) :583-621
[10]   SCALING METHOD FOR PRIORITIES IN HIERARCHICAL STRUCTURES [J].
SAATY, TL .
JOURNAL OF MATHEMATICAL PSYCHOLOGY, 1977, 15 (03) :234-281