A statistical comparison of three goodness-of-fit criteria used in modelling distances. Issue 4 (2001)

• Record Type: Journal Article
• Authors: Love, Robert F.; Üster, Halit
• Is Part Of: Journal of applied mathematics & decision sciences. Volume 5:Issue 4(2001)
• Page Start: 235
• Page End: 251
• Publication Date: 2001
• Subjects: Operations research -- Periodicals; Mathematical models -- Periodicals; Statistics -- Periodicals; Quality control -- Periodicals; Mathematical models; Operations research; Quality control; Statistics; Periodicals; 519.05
• DOI: 10.1155/S1173912601000177
• Languages: English
• ISSNs: 1173-9126

Abstract

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 theℓ k p θ -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.