This article evaluates and compares the performance
of two ratio scaling methods, the eigenvalue method
proposed by Saaty (1977, 1980) and the geometric
mean procedure advocated by Williams and Crawford
(1980), given random data. The two methods were examined
in a series of monte carlo simulations for two
response methods (direct estimation and constant sum)
and various numbers of stimuli and response scales.
The sampling distributions of the measures of consistency
of the two methods were tabulated, rules for detecting
and rejecting inconsistent respondents are outlined,
and approximation formulas for other designs
are derived. Overall, there was a high level of agreement
and correspondence between the results from the
two scaling techniques even when the data were random.
Budescu, David V, Zwick, Rami & Rapoport, Amnon. (1986). A comparison of the eigenvalue method and the geometric mean procedure for ratio scaling. Applied Psychological Measurement, 10, 69-78. doi:10.1177/014662168601000106
Budescu, David V.; Zwick, Rami; Rapoport, Amnon.
A comparison of the eigenvalue method and the geometric mean procedure for ratio scaling.
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