Advances in Decision Sciences

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Advances in Decision Sciences / 2001 / Article

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Volume 5 |Article ID 542637 | 17 pages | https://doi.org/10.1155/S1173912601000177

A statistical comparison of three goodness-of-fit criteria used in modelling distances

Robert F. Love1 and Halit Üster1

1Management Science/Information Systems Area, Michael G. DeGroote School of Business, McMaster University, Canada

Abstract

Distance predicting functions may be used in a variety of applications for estimating travel distances between points. To evaluate the accuracy of a distance predicting function and to determine its parameters, a goodness-of-fit criteria is employed. AD (Absolute Deviations), SD (Squared Deviations) and NAD (Normalized Absolute Deviations) are the three criteria that are mostly employed in practice. In the literature some assumptions have been made about the properties of each criterion. In this paper, we present statistical analyses performed to compare the three criteria from different perspectives. For this purpose, we employ the ℓkpθ-norm as the distance predicting function, and statistically compare the three criteria by using normalized absolute prediction error distributions in seventeen geographical regions. We find that there exist no significant differences between the criteria. However, since the criterion SD has desirable properties in terms of distance modelling procedures, we suggest its use in practice.

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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