×

Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios. (English) Zbl 0584.62102

Three methods - the eigenvalue, logarithmic least squares, and least squares methods - used to derive estimates of ratio scales from a positive reciprocal matrix are analyzed. The criteria for comparison are the measurement of consistency, dual solutions, and rank preservation.
It is shown that the eigenvalue procedure, which is metric-free, leads to a structural index for measuring inconsistency, has two separate dual interpretations and is the only method that guarantees rank preservation under inconsistency conditions.

MSC:

62H99 Multivariate analysis
62P15 Applications of statistics to psychology
PDF BibTeX XML Cite
Full Text: DOI