A statistical approach to Saaty's scaling method for priorities
type: Item
instance of: scholarly article
title: A statistical approach to Saaty's scaling method for priorities
zbMATH Open document ID: 0564.62089
DOI: 10.1016/0022-2496(84)90013-0
author: Piet de Jong
published in: Journal of Mathematical Psychology
publication date: 1984-01-01T00:00:00Z
review text: This paper investigates the logarithmic least squares (LLSM) approach to \textit{T. L. Saaty}'s [ibid. 15, 234-281 (1977; Zbl 0372.62084)] scaling method for priorities in hierarchical structures. It is argued that statistical criteria are important in deciding the scaling method controversy. It is shown that LLSM is statistically optimal under a number of realistic and practical models. Variances and covariances of parameter estimates are derived. The covariance matrix associated with overall priority differences is also developed. These results allow for a significance analysis of apparent priority differences.
Mathematics Subject Classification ID: 62P15
zbMATH DE Number: 3900012
zbMATH Keywords: logarithmic least squares
zbMATH Keywords: scaling method for priorities
zbMATH Keywords: hierarchical structures
zbMATH Keywords: Variances
zbMATH Keywords: covariances
zbMATH Keywords: significance analysis
MaRDI profile type: Publication
full work available at URL: 0022-2496(84)90013-0
OpenAlex ID: W2066959845
cites work: Procedures for synthesizing ratio judgements
cites work: The Error of Forecast in Econometric Models when the Forecast-Period Exogenous Variables are Stochastic
cites work: A scaling method for priorities in hierarchical structures
cites work: Q3044280
cites work: Inconsistency and rank preservation
description: scientific article; zbMATH DE number 3900012