Transportation safety data and analysis : Volume 2, Calibration of the highway safety manual and development of new safety performance functions.
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2011-03-01
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Alternative Title:Transportation safety data and analysis Volume 2 ; Calibration of the highway safety manual and development of new safety performance functions
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Subject/TRT Terms:
- Highway safety
- Medians
- Manuals
- Binomial distributions
- Bayes' theorem
- Empirical methods
- Crashes
- Evaluation
- Roads--Utah--Safety measures
- Median strips--Evaluation
- Bayesian statistical decision theory
- Safety performance functions
- Highway safety manual
- Crash modification factors
- Negative binomial
- Empirical Bayes
- Hierarchical Bayes
- Transportation safety
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Edition:Sept. 2009-Feb. 2011.
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Abstract:This report documents the calibration of the Highway Safety Manual (HSM) safety performance function (SPF) ; for rural two-lane two-way roadway segments in Utah and the development of new models using negative ; binomial and hierarchical Bayesian modeling techniques. Crash data from 2005-2007 on 157 selected study ; segments in Utah provided a 3-year observed crash frequency to obtain a calibration factor for the HSM SPF ; and develop new models. The calibration factor for the HSM SPF for rural two-lane two-way roads in Utah is ; 1.16, indicating that the HSM underpredicts the number of crashes on these roads by 16 percent. ; Negative binomial regression was used to develop four new models, and one additional model was ; developed using hierarchical (or full) Bayesian techniques. The empirical Bayes (EB) method can be applied ; with each negative binomial model because the models include an overdispersion parameter used with the EB ; method. The hierarchical Bayesian technique accounts for high levels of uncertainty. Because the hierarchical ; Bayesian model produces a density function of a predicted crash frequency, a comparison of this density ; function with an observed crash frequency can help identify segments with significant safety concerns. ; Each model has its own strengths and weaknesses, which include its data requirements and predicting ; capability. This report recommends that UDOT use the negative binomial model with transformed average ; annual daily traffic (AADT) at a 95 percent confidence level (Equation 5-11) for predicting crashes. This model ; produces accurate results and requires less data than other models. The hierarchical Bayesian process should be ; used for identifying segments with extreme crash frequencies that may benefit from safety improvements.
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