A Monte Carlo Study of Pairwise Comparisons

Fast Convergence of Distance-based Inconsistency in Pairwise Comparisons

This study presents theoretical proof and empirical evidence of the reduction algorithm convergence for the distance-based inconsistency in pairwise comparisons. Our empirical research shows that the convergence very quick. It usually takes less than 10 reductions to bring the inconsistency of the pairwise comparisons matrix below the assumed threshold of 1/3 (sufficient for most applications)....

Testing The Accuracy Enhancement of Pairwise Comparisons by a Monte Carlo Experiment

A statistical experiment was designed to check if the pairwise comparisons method, which was introduced by Fechner in 1860 and developed by Thurstone in 1927, improves the accuracy of estimation of stimuli. The experiment has been designed and implemented to minimize statistical bias. The accuracy improvement by the pairwise comparisons method (when compared with the direct rating method) is de...

Fast Permutation Tests that Maximize Power Under Conventional Monte Carlo Sampling for Pairwise and Multiple Comparisons

Estimating Unobserved Individual Heterogeneity through Pairwise Comparisons

This paper proposes a new methodology to study environments with unobserved agent heterogeneity. We focus on the settings where the heterogeneous factor takes values from an unknown finite set, and the economic model yields testable implications in the form of pairwise inequalities. The method produces a consistent classification of economic agents according to their unobserved types. The paper...

Monte Carlo Sort for unreliable human comparisons

Algorithms which sort lists of real numbers into ascending order have been studied for decades. They are typically based on a series of pairwise comparisons and run entirely ’on chip’. However people routinely sort lists which depend on subjective or complex judgements that cannot be automated. Examples include marketing research; where surveys are used to learn about customer preferences for p...

On the conservative multivariate Tukey-Kramer type procedures

In this paper, conservative simultaneous confidence intervals for multiple comparisons among mean vectors in multivariate normal distributions are considered. Some properties of the multivariate Tukey-Kramer type procedures for pairwise comparisons and for comparisons with a control are presented. The upper bounds for the conservativeness of the procedures are discussed. Finally, numerical resu...