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Application of Generalized Estimating Equations for Crash Frequency Modeling in Developing Countries

机译:广义估计方程在发展中国家碰撞频率建模中的应用

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Researchers in developing countries are often faced with the small sample size issue in the crashdata during the crash frequency analysis, due to the incomplete crash and information recordingand reporting systems. Traditional generalized linear model (GLM) for crash frequency modelingis usually based on crash counts aggregated over multiple years, and would have a poorperformance by the limitation of sample size. Treating crash count in each year as a separateobservation could enlarge the sample size, but would create temporal correlation among crashesin different years which could bias the model estimates. In this study, we evaluated theapplication of generalized estimating equation (GEE) procedure to deal with the above dilemmafaced by researchers in developing countries. Using a four-year crash data at exit ramps on afreeway in China, two traditional GLMs based on yearly aggregated and disaggregated data aswell as a GLM with GEE procedure were estimated. The results showed that the models basedon yearly disaggregated data generally performed better than the one with yearly aggregated datadue to the enlarged sample size. The traditional GLM underestimated the standard errors ofcoefficients for explanatory variables which could lead to incorrect inferences. The GEEprocedure with a exchangeable correlation structure successively captured the temporalcorrelation in the longitudinal data of this study and was considered to outperform the traditionalGLMs in estimating the impacts of variables on crash counts.
机译:崩溃中,发展中国家的研究人员经常面临样本量小的问题 由于不完整的碰撞和信息记录,因此在碰撞频率分析过程中获取数据 和报告系统。用于碰撞频率建模的传统广义线性模型(GLM) 通常基于多年累计的崩溃次数, 性能受样本量的限制。将每年的崩溃计数单独处理 观察可以扩大样本量,但会在碰撞之间产生时间相关性 在不同的年份可能会使模型估计值产生偏差。在这项研究中,我们评估了 广义估计方程(GEE)程序解决上述难题 发展中国家研究人员面临的问题。在出口的出口坡道上使用四年崩溃数据 在中国的高速公路上,两个传统的GLM基于每年的汇总和分解数据 以及带有GEE程序的GLM进行了估算。结果表明,该模型基于 年度汇总数据的效果通常要好于采用年度汇总数据的数据 由于样本量增加。传统的GLM低估了 可能导致错误推论的解释变量的系数。 GEE 具有可交换相关结构的过程连续捕获时间 在这项研究的纵向数据中具有相关性,并被认为优于传统 估计变量对崩溃计数的影响的GLM。

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