A statistical approach to Saaty's scaling method for priorities

Piet de Jong*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

112 Citations (Scopus)


This paper investigates the logarithmic least squares (LLSM) approach to Saaty's (Journal of Mathematical Psychology, 1977, 5, 234-281) 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.

Original languageEnglish
Pages (from-to)467-478
Number of pages12
JournalJournal of Mathematical Psychology
Issue number4
Publication statusPublished - 1984
Externally publishedYes


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