Tobit analysis of vehicle accident rates on interstate highways.

There has been an abundance of research that has used Poisson models and its variants (negative binomial and zero-inflated models) to improve our understanding of the factors that affect accident frequencies on roadway segments. This study explores the application of an alternate method, tobit regression, by viewing vehicle accident rates directly (instead of frequencies) as a continuous variable that is left-censored at zero. Using data from vehicle accidents on Indiana interstates, the estimation results show that many factors relating to pavement condition, roadway geometrics and traffic characteristics significantly affect vehicle accident rates.

[1]  F. Nelson.  Censored Regression Models with Unobserved Stochastic Censoring Thresholds , 1974 .

[2]  Ahmed E. Radwan,et al.  Modeling traffic accident occurrence and involvement. , 2000, Accident; analysis and prevention.

[3]  Alexander H. Wertheim,et al.  Explaining highway hypnosis: Experimental evidence for the role of eye movements , 1978 .

[4]  J. Tobin.  Estimation of Relationships for Limited Dependent Variables , 1958 .

[5]  Pilar Tejero,et al.  Wertheim's hypothesis on 'highway hypnosis': empirical evidence from a study on motorway and conventional road driving. , 2004, Accident; analysis and prevention.

[6]  Philip K. Robins,et al.  The Labor-Supply Effects and Costs of Alternative Negative Income Tax Programs , 1978 .

[7]  M. Hadi,et al.  ESTIMATING SAFETY EFFECTS OF CROSS-SECTION DESIGN FOR VARIOUS HIGHWAY TYPES USING NEGATIVE BINOMIAL REGRESSION , 1995 .

[8]  B Dulisse.  Methodological issues in testing the hypothesis of risk compensation. , 1997, Accident; analysis and prevention.

[9]  Robert A. Moffitt,et al.  The Uses of Tobit Analysis , 1980 .

[10]  F Mannering,et al.  Modeling accident frequencies as zero-altered probability processes: an empirical inquiry. , 1997, Accident; analysis and prevention.

[11]  Fred L. Mannering,et al.  Statistical Modeling of User Perceptions of Infrastructure Condition: Application to the Case of Highway Roughness , 2006 .

[12]  R. B. Albin,et al.  Evaluating Median Crossover Likelihoods with Clustered Accident Counts: An Empirical Inquiry Using the Random Effects Negative Binomial Model , 1998 .

[13]  Fred L Mannering,et al.  Highway accident severities and the mixed logit model: an exploratory empirical analysis. , 2008, Accident; analysis and prevention.

[14]  T E Carpenter,et al.  Using a tobit regression model to analyse risk factors for foot-pad dermatitis in commercially grown broilers. , 1998, Preventive veterinary medicine.

[15]  Takeshi Amemiya,et al.  Regression Analysis when the Dependent Variable is Truncated Normal , 1973 .

[16]  Wayne K. Talley,et al.  SAFETY INVESTMENTS AND OPERATING CONDITIONS: DETERMINANTS OF ACCIDENT PASSENGER-VESSEL DAMAGE COST , 1995 .

[17]  Fred Mannering,et al.  Impact of roadside features on the frequency and severity of run-off-roadway accidents: an empirical analysis. , 2002, Accident; analysis and prevention.

[18]  Fred L. Mannering,et al.  Negative binomial analysis of intersection accident frequencies , 1996 .

[19]  Brian L. Smith,et al.  Freeway Accident Likelihood Prediction Using a Panel Data Analysis Approach , 2007 .

[20]  Fred L. Mannering,et al.  Acceptability of Pavement Roughness on Urban Highways by Driving Public , 2003 .

[21]  Andrew A. Weiss,et al.  The Effects of Helmet Use on the Severity of Head Injuries in Motorcycle Accidents , 1992 .

[22]  Karl Kim,et al.  Estimating driver crash risks based on the extended Bradley–Terry model: an induced exposure method , 2000 .

[23]  Andrew P Tarko,et al.  Safety Impacts at Intersections on Curved Segments , 2005 .

[24]  Fred Mannering,et al.  An exploration of the offset hypothesis using disaggregate data: The case of airbags and antilock brakes , 2006 .

[25]  S. Washington,et al.  Statistical and Econometric Methods for Transportation Data Analysis , 2010 .

[26]  P. Schmidt,et al.  Limited-Dependent and Qualitative Variables in Econometrics. , 1984 .

[27]  Robert Brame,et al.  Tobit Models in Social Science Research , 2003 .

[28]  V. Sisiopiku,et al.  Relationship Between Volume-to-Capacity Ratios and Accident Rates , 1997 .

[29]  J Carson,et al.  The effect of ice warning signs on ice-accident frequencies and severities. , 2001, Accident; analysis and prevention.

[30]  Dennis W. Roncek,et al.  Learning More From Tobit Coefficients: Extending a Comparative Analysis of Political Protest , 1992 .

[31]  Hussain U Bahia,et al.  Incorporating Road Safety into Pavement Management: Maximizing Surface Friction for Road Safety Improvements , 2007 .

[32]  T Assum,et al.  Risk compensation--the case of road lighting. , 1999, Accident; analysis and prevention.

[33]  Anne Nolan,et al.  The Determinants of Urban Households' Transport Decisions: A Microeconometric Study using Irish Data , 2003 .

[34]  Joseph C. Gardiner,et al.  Testing and Correcting for Non-Random Selection Bias due to Censoring: An Application to Medical Costs , 2003, Health Services and Outcomes Research Methodology.

[35]  Ray C. Fair,et al.  A Theory of Extramarital Affairs , 1978, Journal of Political Economy.

[36]  F. Mannering,et al.  Driver aging and its effect on male and female single-vehicle accident injuries: some additional evidence. , 2006, Journal of safety research.

[37]  Fred L. Mannering,et al.  Effects of Interstate Speed Limits on Driving Speeds: Some New Evidence , 2007 .

[38]  F Mannering,et al.  Effect of roadway geometrics and environmental factors on rural freeway accident frequencies. , 1995, Accident; analysis and prevention.

[39]  Andrew Dickerson,et al.  Road Accidents and Traffic Flows: An Econometric Investigation , 2000 .

[40]  K. Zimmermann,et al.  PSEUDO‐R2 MEASURES FOR SOME COMMON LIMITED DEPENDENT VARIABLE MODELS , 1996 .