A Warning on the Use of Linear Logit Models in Transport Mode Choice Studies

This article argues that linear logit models are inappropriate to use for transport demand studies, because they impose many rigid a priori restrictions on the parameters of price responsiveness of demand, such as the elasticities of substitution and cross price elasticities, and the structure of technology (or preference) underlying the linear logit models has severe irregularity and inconsistency. This has a serious implication for the credibility of the findings of several recent studies which attempted to measure the welfare loss of traffic misallocation attributable to the Interstate Commerce Commission's railroad minimum rate regulation.

[1]  B. Kullman.  A model of rail/truck competition in the intercity freight market , 1973 .

[2]  J. Berkson.  A Statistically Precise and Relatively Simple Method of Estimating the Bio-Assay with Quantal Response, Based on the Logistic Function , 1953 .

[3]  M. Denny.  The Relationship Between Functional Forms for the Production System , 1974 .

[4]  H. Theil.  On the Estimation of Relationships Involving Qualitative Variables , 1970, American Journal of Sociology.

[5]  Dale W. Jorgenson,et al.  CONJUGATE DUALITY AND THE TRANSCENDENTAL LOGARITHMIC FUNCTION , 1971 .

[6]  Gerhard Tintner,et al.  Mathematical Analysis for Economists. , 1938 .

[7]  D. Jorgenson,et al.  TRANSCENDENTAL LOGARITHMIC PRODUCTION FRONTIERS , 1973 .

[8]  J. Berkson.  Application of the Logistic Function to Bio-Assay , 1944 .

[9]  D. R. Cox,et al.  The analysis of binary data , 1971 .

[10]  K. Boyer.  Minimum Rate Regulation, Modal Split Sensitivities, and the Railroad Problem , 1977, Journal of Political Economy.

[11]  Walter Diewert,et al.  An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function , 1971, Journal of Political Economy.

[12]  J. Berkson.  Why I Prefer Logits to Probits , 1951 .

[13]  Raymond H Ellis,et al.  THE N-DIMENSIONAL LOGIT MODEL: DEVELOPMENT AND APPLICATION , 1971 .

[14]  D. McFadden.  Conditional logit analysis of qualitative choice behavior , 1972 .

[15]  S. James Press,et al.  Univariate and Multivariate Log-Linear and Logistic Models , 1973 .

[16]  J. Hausman.  Project Independence Report: An Appraisal of Energy Needs up to 1985 , 1975 .

[17]  John Hicks,et al.  The Theory of Wages , 1933 .

[18]  D. Gillen,et al.  Alternative Policy Variables to Influence Urban Transport Demand , 1977 .

[19]  J. Berkson.  Maximum Likelihood and Minimum x 2 Estimates of the Logistic Function , 1955 .

[20]  D. McFadden.  MEASUREMENT OF URBAN TRAVEL DEMAND , 1974 .

[21]  Richard C. Levin,et al.  Allocation in Surface Freight Transportation: Does Rate Regulation Matter? , 1978 .

[22]  D. McFadden,et al.  URBAN TRAVEL DEMAND - A BEHAVIORAL ANALYSIS , 1977 .

[23]  Henri Theil,et al.  A Multinomial Extension of the Linear Logit Model , 1969 .