Applying the Generalized Waring model for investigating sources of variance in motor vehicle crash analysis

As one of the major analysis methods, statistical models play an important role in traffic safety analysis. They can be used for a wide variety of purposes, including establishing relationships between variables and understanding the characteristics of a system. The purpose of this paper is to document a new type of model that can help with the latter. This model is based on the Generalized Waring (GW) distribution. The GW model yields more information about the sources of the variance observed in datasets than other traditional models, such as the negative binomial (NB) model. In this regards, the GW model can separate the observed variability into three parts: 1) the randomness, which explains the model’s uncertainty; 2) the proneness, which refers to the internal differences between entities or observations; and, 3) the liability, which is defined as the variance caused by other external factors that are difficult to be identified and have not been included as explanatory variables in the model. The study analyses were accomplished using two observed datasets to explore potential sources of variation. The results show that the GW model can provide meaningful information about sources of variance in crash data and also performs better than the NB model.

• Supplemental Notes:
  • This paper was sponsored by TRB committee ABJ80 Statistical Methods. Alternate title: Applying the Generalized Waring Model for Investigating Sources of Variance in Motor Vélib' Bikesharing System Vehicle Crash Analysis
• Corporate Authors:

  Transportation Research Board

  500 Fifth Street, NW
  Washington, DC  United States  20001
• Authors:
  • Peng, Yichuan
  • Lord, Dominique
  • Zou, Yajie
• Conference:
  • Transportation Research Board 93rd Annual Meeting
  • Location: Washington DC
  • Date: 2014-1-12 to 2014-1-16
• Date: 2014

Language

• English

Media Info

• Media Type: Digital/other
• Features: Figures; References; Tables;
• Pagination: 20p
• Monograph Title: TRB 93rd Annual Meeting Compendium of Papers

Subject/Index Terms

• TRT Terms: Analysis of variance; Binomial distributions; Distributions (Statistics); Mathematical models; Traffic crashes
• Uncontrolled Terms: Random distribution
• Subject Areas: Highways; Planning and Forecasting; Safety and Human Factors; I72: Traffic and Transport Planning; I83: Accidents and the Human Factor;

Filing Info

• Accession Number: 01519652
• Record Type: Publication
• Report/Paper Numbers: 14-1352
• Files: TRIS, TRB, ATRI
• Created Date: Mar 26 2014 10:07AM