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Zullo AR, Riester MR, D'Amico AM, Reddy Bhuma M, Khan MA, Curry AE, Pfeiffer MR, Margolis SA, Ott BR, Bayer T, Joyce NR. Medication Changes Among Older Drivers Involved in Motor Vehicle Crashes. JAMA Netw Open 2024; 7:e2438338. [PMID: 39382896 DOI: 10.1001/jamanetworkopen.2024.38338] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/10/2024] Open
Abstract
Importance Although older adults may use potentially driver-impairing (PDI) medications that can produce psychomotor impairment, little is known about changes to PDI medication use among older adults from the time before to the time after a motor vehicle crash (MVC). Objective To quantify use of and changes in PDI medications among older adults before and after an MVC. Design, Setting, and Participants This cohort study used linked Medicare claims and police-reported MVC data on 154 096 person-crashes among 121 846 older drivers. Eligible persons were drivers aged 66 years or older, involved in a police-reported MVC in New Jersey from May 1, 2007, through December 31, 2017, and with continuous enrollment in Medicare fee-for-service Parts A and B for at least 12 months and Part D for at least 120 days prior to the MVC. Data were analyzed from January 2022 to May 2024. Main Outcomes and Measures Use of benzodiazepines, nonbenzodiazepine hypnotics, opioid analgesics, and other PDI medications in the 120 days before and 120 days after the MVC. Because each person could contribute multiple MVCs during the study period if they met eligibility criteria, the unit of analysis was the number of person-crashes. The proportion of person-crashes after which PDI medications were started, discontinued, or continued was quantified as well. Results Among 154 096 eligible person-crashes, the mean (SD) age of the drivers was 75.2 (6.7) years at the time of the MVC. Of 121 846 unique persons, 51.6% were women. In 80.0% of the person-crashes, drivers used 1 or more PDI medications before the crash, and in 81.0% of the person-crashes, drivers used 1 or more PDI medications after the crash. Use of benzodiazepines (8.1% before the crash and 8.8% after the crash), nonbenzodiazepine hypnotics (5.9% before the crash and 6.0% after the crash), and opioid analgesics (15.4% before the crash and 17.5% after the crash) was slightly higher after the MVC. After the MVC, drivers in 2.1% of person-crashes started benzodiazepines and 1.4% stopped benzodiazepines, drivers in 1.2% of person-crashes started nonbenzodiazepine hypnotics and 1.2% stopped nonbenzodiazepine hypnotics, and drivers in 8.4% of person-crashes started opioid analgesics and 6.3% stopped opioid analgesics. Conclusions and Relevance This cohort study suggests that most older drivers involved in MVCs did not use fewer PDI medications after crashes than before crashes. Qualitative research of perceived risks vs benefits of PDI medications is necessary to understand the reasons why MVCs do not appear to motivate clinicians to deprescribe PDI medications as a strategy to avert potential harms, including additional MVCs.
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Affiliation(s)
- Andrew R Zullo
- Department of Epidemiology, Brown University School of Public Health, Providence, Rhode Island
- Department of Health Services, Policy, and Practice, Brown University School of Public Health, Providence, Rhode Island
- Center of Innovation in Long-Term Services and Supports, Providence Veterans Affairs Medical Center, Providence, Rhode Island
- Center for Gerontology and Health Care Research, Brown University School of Public Health, Providence, Rhode Island
- Center for Injury Research and Prevention, Children's Hospital of Philadelphia, Philadelphia, Pennsylvania
| | - Melissa R Riester
- Department of Epidemiology, Brown University School of Public Health, Providence, Rhode Island
- Department of Health Services, Policy, and Practice, Brown University School of Public Health, Providence, Rhode Island
- Center for Gerontology and Health Care Research, Brown University School of Public Health, Providence, Rhode Island
| | - Adam M D'Amico
- Department of Health Services, Policy, and Practice, Brown University School of Public Health, Providence, Rhode Island
- Center for Gerontology and Health Care Research, Brown University School of Public Health, Providence, Rhode Island
| | - Monika Reddy Bhuma
- Department of Health Services, Policy, and Practice, Brown University School of Public Health, Providence, Rhode Island
- Center for Gerontology and Health Care Research, Brown University School of Public Health, Providence, Rhode Island
| | - Marzan A Khan
- Department of Health Services, Policy, and Practice, Brown University School of Public Health, Providence, Rhode Island
- Center for Gerontology and Health Care Research, Brown University School of Public Health, Providence, Rhode Island
| | - Allison E Curry
- Center for Injury Research and Prevention, Children's Hospital of Philadelphia, Philadelphia, Pennsylvania
- Division of Emergency Medicine, Department of Pediatrics, Perelman School of Medicine, University of Pennsylvania, Philadelphia
| | - Melissa R Pfeiffer
- Center for Injury Research and Prevention, Children's Hospital of Philadelphia, Philadelphia, Pennsylvania
| | - Seth A Margolis
- Rhode Island Hospital, Providence
- Department of Psychiatry and Human Behavior, Alpert Medical School, Brown University, Providence, Rhode Island
| | - Brian R Ott
- Department of Neurology, Alpert Medical School, Brown University, Providence, Rhode Island
| | - Thomas Bayer
- Center of Innovation in Long-Term Services and Supports, Providence Veterans Affairs Medical Center, Providence, Rhode Island
- Division of Geriatrics and Palliative Medicine, Alpert Medical School, Brown University, Providence, Rhode Island
| | - Nina R Joyce
- Department of Epidemiology, Brown University School of Public Health, Providence, Rhode Island
- Center of Innovation in Long-Term Services and Supports, Providence Veterans Affairs Medical Center, Providence, Rhode Island
- Center for Injury Research and Prevention, Children's Hospital of Philadelphia, Philadelphia, Pennsylvania
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Gaw CE, Metzger KB, Pfeiffer MR, Yerys BE, Boyd RC, Corwin DJ, Curry AE. Driver's Licensure and Driving Outcomes Among Youths With Mood Disorders. JAMA Netw Open 2024; 7:e245543. [PMID: 38587843 PMCID: PMC11002704 DOI: 10.1001/jamanetworkopen.2024.5543] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 11/06/2023] [Accepted: 02/09/2024] [Indexed: 04/09/2024] Open
Abstract
Importance Mood disorders are prevalent among adolescents and young adults, and their onset often coincides with driving eligibility. The understanding of how mood disorders are associated with youth driving outcomes is limited. Objective To examine the association between the presence of a mood disorder and rates of licensing, crashes, violations, and suspensions among adolescents and young adults. Design, Setting, and Participants This cohort study was conducted among New Jersey residents who were born 1987 to 2000, age eligible to acquire a driver's license from 2004 to 2017, and patients of the Children's Hospital of Philadelphia network within 2 years of licensure eligibility at age 17 years. The presence of a current (ie, ≤2 years of driving eligibility) mood disorder was identified using International Classification of Diseases, Ninth Revision, Clinical Modification (ICD-9-CM) or International Statistical Classification of Diseases, Tenth Revision, Clinical Modification (ICD-10-CM) codes. Rates of licensure and driving outcomes among youths who were licensed were compared among 1879 youths with and 84 294 youths without a current mood disorder from 2004 to 2017. Data were analyzed from June 2022 to July 2023. Main Outcomes and Measures Acquisition of a driver's license and first involvement as a driver in a police-reported crash and rates of other adverse driving outcomes were assessed. Survival analysis was used to estimate adjusted hazard ratios (aHRs) for licensing and driving outcomes. Adjusted rate ratios (aRRs) were estimated for driving outcomes 12 and 48 months after licensure. Results Among 86 173 youths (median [IQR] age at the end of the study, 22.8 [19.7-26.5] years; 42 894 female [49.8%]), there were 1879 youths with and 84 294 youths without a mood disorder. A greater proportion of youths with mood disorders were female (1226 female [65.2%]) compared with those without mood disorders (41 668 female [49.4%]). At 48 months after licensure eligibility, 75.5% (95% CI, 73.3%-77.7%) and 83.8% (95% CI, 83.5%-84.1%) of youths with and without mood disorders, respectively, had acquired a license. Youths with mood disorders were 30% less likely to acquire a license than those without a mood disorder (aHR, 0.70 [95% CI, 0.66-0.74]). Licensed youths with mood disorders had higher overall crash rates than those without mood disorders over the first 48 months of driving (137.8 vs 104.8 crashes per 10 000 driver-months; aRR, 1.19 [95% CI, 1.08-1.31]); licensed youths with mood disorders also had higher rates of moving violations (aRR, 1.25 [95% CI, 1.13-1.38]) and license suspensions (aRR, 1.95 [95% CI, 1.53-2.49]). Conclusions and Relevance This study found that youths with mood disorders were less likely to be licensed and had higher rates of adverse driving outcomes than youths without mood disorders. These findings suggest that opportunities may exist to enhance driving mobility in this population and elucidate the mechanisms by which mood disorders are associated with crash risk.
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Affiliation(s)
- Christopher E. Gaw
- Division of Emergency Medicine, Nationwide Children’s Hospital, Columbus, Ohio
| | - Kristina B. Metzger
- Center for Injury Research and Prevention, Children’s Hospital of Philadelphia, Philadelphia, Pennsylvania
| | - Melissa R. Pfeiffer
- Center for Injury Research and Prevention, Children’s Hospital of Philadelphia, Philadelphia, Pennsylvania
| | - Benjamin E. Yerys
- Center for Autism Research, Children’s Hospital of Philadelphia, Philadelphia, Pennsylvania
- Department of Child and Adolescent Psychiatry and Behavioral Sciences, Children’s Hospital of Philadelphia, Philadelphia, Pennsylvania
- Department of Psychiatry, Perelman School of Medicine at the University of Pennsylvania, Philadelphia, Pennsylvania
| | - Rhonda C. Boyd
- Department of Child and Adolescent Psychiatry and Behavioral Sciences, Children’s Hospital of Philadelphia, Philadelphia, Pennsylvania
- Department of Psychiatry, Perelman School of Medicine at the University of Pennsylvania, Philadelphia, Pennsylvania
| | - Daniel J. Corwin
- Center for Injury Research and Prevention, Children’s Hospital of Philadelphia, Philadelphia, Pennsylvania
- Division of Emergency Medicine, Children’s Hospital of Philadelphia, Philadelphia, Pennsylvania
| | - Allison E. Curry
- Center for Injury Research and Prevention, Children’s Hospital of Philadelphia, Philadelphia, Pennsylvania
- Division of Emergency Medicine, Children’s Hospital of Philadelphia, Philadelphia, Pennsylvania
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Hamann CJ, Jansson S, Wendt L, Cavanaugh JE, Peek-Asa C. Informing traffic enforcement leniency and discretion: Crash culpability and the effectiveness of written warnings versus citations. ACCIDENT; ANALYSIS AND PREVENTION 2023; 189:107121. [PMID: 37253280 DOI: 10.1016/j.aap.2023.107121] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/17/2022] [Revised: 04/04/2023] [Accepted: 05/16/2023] [Indexed: 06/01/2023]
Abstract
OBJECTIVES Deterrence of risky driving behavior is important for the prevention of crashes and injuries. Traffic law enforcement is a key strategy used to decrease risky driving, but there is little evidence on the deterrent effect of issuing warnings versus citations to drivers regarding the prevention of future crashes. The purpose of this study was to 1) investigate the difference between citations and written warnings in their association with future crash culpability and 2) investigate whether drivers who were issued written warnings or citations have different associations with future crash culpability likelihood than those without prior citations or written warnings. METHODS Data for this study included Iowa Department of Transportation crash data for 2016 to 2019 linked to data from the Iowa Court Case Management System. A quasi-induced exposure method was used based on driver pairs involved in the same collision in which one driver was deemed culpable and one was non-culpable. Conditional logistic regression models were constructed to examine predictors of crash culpability. The main independent variable was traffic citation and warnings history categorized into moving warning, non-moving warning, moving citation, non-moving citation, or no citation or warning in the 30 days prior to the crash. RESULTS The study sample included a total of 152,986 drivers. Among drivers with moving violations, previously cited drivers were more likely to be crash culpable than previously warned drivers (OR = 1.64, 95% CI = 1.29-2.08). Drivers with prior non-moving citations were less likely to be the culpable party in a crash than a driver who had no recent warnings or citations (OR = 0.72, 95% CI = 0.58-0.89). Drivers with prior warnings (moving or non-moving) did not appreciably differ in crash culpability relative to drivers who had not received any citations or warnings in the previous 30 days. CONCLUSIONS Drivers with prior moving citations were more likely to be culpable in a future crash than drivers with prior moving warnings, which may relate to overall driving riskiness as opposed to effectiveness of citations in deterring risky driving behaviors. Results from this study also suggest that officer discretion was being appropriately applied by citing the riskiest drivers, while giving lower risk drivers warnings. Results from this study may be useful to support strengthening of state driver improvement programming.
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Affiliation(s)
- Cara J Hamann
- Department of Epidemiology, College of Public Health, University of Iowa, 145 N. Riverside Drive, Iowa City, IA 52242, USA.
| | - Stephanie Jansson
- Department of Biostatistics, College of Public Health, University of Iowa, 145 N. Riverside Drive, Iowa City, IA 52242, USA
| | - Linder Wendt
- Institute for Clinical and Translational Science, University of Iowa, 200 Hawkins Drive, Iowa City, IA 52242, USA
| | - Joseph E Cavanaugh
- Department of Biostatistics, College of Public Health, University of Iowa, 145 N. Riverside Drive, Iowa City, IA 52242, USA
| | - Corinne Peek-Asa
- Department of Occupational and Environmental Health, College of Public Health, University of Iowa, 145 N. Riverside Drive, Iowa City, IA 52242, USA
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Marchese C, Dubois S, Martin L, Weaver B, Bédard M. Distraction impairs drivers of all ages: A cross-sectional analysis of fatal crashes in the United States. TRAFFIC INJURY PREVENTION 2022; 23:465-470. [PMID: 36166732 DOI: 10.1080/15389588.2022.2123221] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/28/2022] [Revised: 07/15/2022] [Accepted: 07/27/2022] [Indexed: 06/16/2023]
Abstract
Objective: The objective of this study was to examine the association between distracted driving and crash responsibility across the whole age span after adjusting for several driver characteristics and the potential influence of alcohol and drugs.Methods: Using data from the Fatality Analysis Reporting System for the years 2010 to 2019, we estimated the association between distracted driving and crash responsibility in drivers (of passenger-type vehicles) aged 20 and older, with a confirmed blood alcohol concentration of zero, and who tested negative for drugs (n = 33,513). We operationalized crash responsibility as having one or more unsafe driving action (UDA) recorded.Results: In total, slightly under 9% of the drivers examined were coded as distracted. The most common UDA among distracted drivers was a failure to yield right of way (23.4% vs. 14.2% for non-distracted drivers). Driving distracted was associated with higher odds of an UDA for drivers of all ages (overall OR = 1.46, 95% CI = 1.24, 1.73).Conclusions: Distracted driving affects drivers of all ages. Given that distracted driving is highly preventable, we must increase our prevention efforts.
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Affiliation(s)
- Carlina Marchese
- Centre for Research on Safe Driving, Lakehead University, Thunder Bay, Canada
- Department of Health Sciences, Lakehead University, Thunder Bay, Canada
| | - Sacha Dubois
- Centre for Research on Safe Driving, Lakehead University, Thunder Bay, Canada
- Centre for Applied Health Research, St. Joseph's Care Group, Thunder Bay, Canada
- School of Nursing, Lakehead University, Thunder Bay, Canada
- Human Sciences Division, Northern Ontario School of Medicine University, Sudbury, Canada
| | - Lynn Martin
- Department of Health Sciences, Lakehead University, Thunder Bay, Canada
- Enhancing Prevention of Injury and Disability @ Work (EPID@Work) Research Institute, Lakehead University, Thunder Bay, Canada
| | - Bruce Weaver
- Centre for Research on Safe Driving, Lakehead University, Thunder Bay, Canada
- Department of Health Sciences, Lakehead University, Thunder Bay, Canada
- Human Sciences Division, Northern Ontario School of Medicine University, Sudbury, Canada
| | - Michel Bédard
- Centre for Research on Safe Driving, Lakehead University, Thunder Bay, Canada
- Department of Health Sciences, Lakehead University, Thunder Bay, Canada
- Centre for Applied Health Research, St. Joseph's Care Group, Thunder Bay, Canada
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Wang YC, Foss RD, Goodwin AH. Unlicensed driving among young drivers in North Carolina: a quasi-induced exposure analysis. Inj Epidemiol 2022; 9:26. [PMID: 35974383 PMCID: PMC9382739 DOI: 10.1186/s40621-022-00391-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/02/2022] [Accepted: 08/05/2022] [Indexed: 12/05/2022] Open
Abstract
BACKGROUND Little is known about the prevalence of driving among teenagers who have not yet obtained a license. The primary objective of the present study was to estimate the prevalence of unlicensed driving among young drivers using the quasi-induced exposure (QIE) approach and to determine whether unlicensed driving was more common among minority and lower-income teenagers. Additionally, we examined whether unlicensed driving among adolescents increased following the implementation of a graduated driver licensing (GDL) system and whether GDL differentially affected minority and low-income adolescents. METHODS Using North Carolina crash and driver license data, we identified 90,267 two-vehicle crashes from 1991 through 2016 where only one driver was considered contributory and the non-contributory driver was a White or Black 16 or 17 years old. In the QIE approach, these non-contributory young drivers are assumed to be representative of all adolescents driving in the state during this time period. The prevalence of unlicensed driving among adolescents by age and year was estimated by identifying the proportion of non-contributory drivers who had never been licensed by the time of their involvement in these two-vehicle crashes. We further conducted logistic regression analyses to examine the likelihood of a non-contributory young driver being unlicensed as a function of race, neighborhood income level, and licensing era (prior to or after GDL was implemented). RESULTS During the 26 years for which data were available, the mean annual prevalence of unlicensed driving was 1.2% for 16-year-olds and 1.7% among 17-year-olds. Young Black drivers and individuals living in lower-income neighborhoods were somewhat more likely to drive before obtaining a license, but the rates of unlicensed driving among these groups were also quite low. Unlicensed driving increased slightly for 17-year-olds following the implementation of GDL, but returned to previous levels after a few years. CONCLUSION Unlicensed driving among adolescents in North Carolina is substantially less common than suggested by previous self-report studies and analyses of fatal crash data.
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Affiliation(s)
- Yudan Chen Wang
- North Carolina A&T State University, Proctor Hall 267, 1601 E. Market St., Greensboro, NC 27411 USA
| | - Robert D. Foss
- University of North Carolina at Chapel Hill, Chapel Hill, NC USA
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Real-World Crash Circumstances Among Newly Licensed Adolescent Drivers With and Without Attention-Deficit/Hyperactivity Disorder. J Adolesc Health 2022; 71:172-179. [PMID: 35430145 PMCID: PMC9742980 DOI: 10.1016/j.jadohealth.2022.02.008] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 08/16/2021] [Revised: 02/15/2022] [Accepted: 02/19/2022] [Indexed: 12/14/2022]
Abstract
PURPOSE Adolescents with attention-deficit/hyperactivity disorder (ADHD) have 30%-40% higher crash rates. However, we still do not understand which factors underlie heightened crash risk and if crash circumstances differ for drivers with ADHD. We compared prevalences of crash responsibility, driver actions, and crash types among adolescent and young adult drivers with and without ADHD who crashed within 48 months of licensure. METHODS In this exploratory retrospective cohort study, we identified patients of Children's Hospital of Philadelphia's (CHOP) New Jersey (NJ) primary care locations who were born between 1987 and 2000, NJ residents, had their last CHOP visit ≥ age 12 years, and acquired a driver's license. We linked CHOP electronic health records to NJ's licensing and crash databases. ADHD diagnosis was based on International Classification of Diseases, Ninth Revision, Clinical Modification/International Classification of Diseases, Tenth Revision, Clinical Modification codes. Prevalence ratios were estimated using generalized estimating equation log-binomial regression. RESULTS We identified 934 drivers with ADHD in 1,308 crashes and 5,158 drivers without ADHD in 6,676 crashes. Within 48 months postlicensure, drivers with ADHD were more likely to be at fault for their crash (prevalence ratio: 1.09 [1.05-1.14]) and noted as inattentive (1.15 [1.07-1.23]). With the exception that drivers with ADHD were less likely to crash while making a left/U-turn, we did not find substantial differences in crash types by diagnosis. Analyses also suggest females with ADHD may have a higher risk of colliding with a nonmotor vehicle and crashing due to unsafe speed than females without ADHD. DISCUSSION The results suggest crash circumstances do not widely differ for drivers with and without ADHD but highlight several factors that may be particularly challenging for young drivers with ADHD.
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Curry AE, Metzger KB, Carey ME, Sartin EB, Huang P, Yerys BE. Comparison of Motor Vehicle Crashes, Traffic Violations, and License Suspensions Between Autistic and Non-Autistic Adolescent and Young Adult Drivers. J Am Acad Child Adolesc Psychiatry 2021; 60:913-923. [PMID: 33453361 PMCID: PMC8918049 DOI: 10.1016/j.jaac.2021.01.001] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 06/23/2020] [Revised: 11/05/2020] [Accepted: 01/07/2021] [Indexed: 10/22/2022]
Abstract
OBJECTIVE One-third of autistic individuals obtain a driver's license by age 21 years; however, prior studies suggest they may be at heightened risk for motor vehicle crashes. We compared objective rates of crashes, traffic violations, and license suspensions for newly licensed autistic and non-autistic adolescents. METHOD This retrospective cohort study included New Jersey residents born from 1987 through 2000 who were patients of the Children's Hospital of Philadelphia health care network. Electronic health records were linked with statewide driver licensing and crash databases. Autism status was classified via International Classification of Diseases (ICD) diagnostic codes; individuals with intellectual disability were excluded. We compared rates among 486 autistic and 70,990 non-autistic licensed drivers over their first 48 months of driving. Furthermore, we examined the proportion of crashes attributed to specific driver actions and crash types. RESULTS Compared with non-autistic drivers, autistic drivers were estimated to have lower average monthly rates of crash involvement (adjusted rate ratio (adjRR) = 0.89, 95% CI = 0.75-1.05), moving violations (adjRR = 0.56, 95% CI = 0.48-0.67), and suspensions (adjRR = 0.32, 95% CI = 0.18-0.58). Among drivers involved in a crash, autistic drivers were half as likely to crash because of unsafe speed, but substantially more likely to crash because of their failure to yield to a vehicle/pedestrian and while making left-turns or U-turns. CONCLUSION Newly licensed autistic adolescent drivers have similar to lower estimated rates of adverse driving outcomes; the extent to which these can be attributed to different driving patterns is a critical point for future investigation. There were several notable differences in the characteristics of these crashes, which directly inform interventions to improve driving safety of autistic adolescent drivers.
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Affiliation(s)
- Allison E Curry
- Center for Injury Research and Prevention, Children's Hospital of Philadelphia and the Division of Emergency Medicine, Perelman School of Medicine at University of Pennsylvania, Philadelphia.
| | - Kristina B Metzger
- Center for Injury Research and Prevention, Children's Hospital of Philadelphia, Pennsylvania
| | - Meghan E Carey
- Center for Injury Research and Prevention, Children's Hospital of Philadelphia, Pennsylvania
| | - Emma B Sartin
- Center for Injury Research and Prevention, Children's Hospital of Philadelphia, Pennsylvania
| | - Patty Huang
- Division of Developmental and Behavioral Pediatrics, Children's Hospital of Philadelphia, Pennsylvania
| | - Benjamin E Yerys
- Center for Autism Research, Children's Hospital of Philadelphia, and the Perelman School of Medicine at University of Pennsylvania, Philadelphia, Pennsylvania
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Shen S, Pope CN, Stamatiadis N, Zhu M. Validation of not-at-fault driver representativeness assumption for quasi-induced exposure using U.S. national traffic databases. JOURNAL OF SAFETY RESEARCH 2019; 71:243-249. [PMID: 31862035 PMCID: PMC7388749 DOI: 10.1016/j.jsr.2019.09.024] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/26/2019] [Revised: 06/28/2019] [Accepted: 09/23/2019] [Indexed: 05/05/2023]
Abstract
INTRODUCTION The quasi-induced exposure (QIE) method has been widely implemented into traffic safety research. One of the key assumptions of QIE method is that not-at-fault drivers represent the driving population at the time of a crash. Recent studies have validated the QIE representative assumption using not-at-fault drivers from three-or-more vehicle crashes (excluding the first not-at-fault drivers; D3_other) as the reference group in single state crash databases. However, it is unclear if the QIE representativeness assumption is valid on a national scale and is a representative sample of driving population in the United States. The aims of this study were to assess the QIE representativeness assumption on a national scale and to evaluate if D3_other could serve as a representative sample of the U.S. driving population. METHOD Using the Fatality Analysis Reporting System (FARS) and the National Occupant Protection Use Survey (NOPUS), distributions of driver gender, age, vehicle type, time, and roadway type among the not-at-fault drivers in clean two-vehicle crashes, the first not-at-fault drivers in three-or-more-vehicle crashes, and the remaining not-at-fault drivers in three-or-more vehicle crashes were compared to the driver population observed in NOPUS. RESULTS The results showed that with respect to driver gender, vehicle type, time, and roadway type, drivers among D3_other did not show statistical significant difference from NOPUS observations. The age distribution of D3_other driver was not practically different to NOPUS observations. CONCLUSIONS Overall, we conclude that D3_other drivers in FARS represents the driving population at the time of the crash. Practical applications: Our study provides a solid foundation for future studies to utilize D3_other as the reference group to validate the QIE representativeness assumption and has potential to increase the generalizability of future FARS studies.
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Affiliation(s)
- Sijun Shen
- The Center for Injury Research and Policy, Abigail Wexner Research Institute at Nationwide Children's Hospital, Columbus, OH, United States; Department of Pediatrics, College of Medicine, The Ohio State University, Columbus, United States.
| | - Caitlin N Pope
- The Center for Injury Research and Policy, Abigail Wexner Research Institute at Nationwide Children's Hospital, Columbus, OH, United States; Department of Pediatrics, College of Medicine, The Ohio State University, Columbus, United States; Graduate Center for Gerontology, College of Public Health, University of Kentucky, Lexington, KY, United States.
| | - Nikiforos Stamatiadis
- Department of Civil Engineering, College of Engineering, University of Kentucky, Lexington, KY, United States.
| | - Motao Zhu
- The Center for Injury Research and Policy, Abigail Wexner Research Institute at Nationwide Children's Hospital, Columbus, OH, United States; Department of Pediatrics, College of Medicine, The Ohio State University, Columbus, United States; Division of Epidemiology, College of Public Health, The Ohio State University, Columbus, OH, United States.
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Curry AE, Yerys BE, Metzger KB, Carey ME, Power TJ. Traffic Crashes, Violations, and Suspensions Among Young Drivers With ADHD. Pediatrics 2019; 143:e20182305. [PMID: 31110164 PMCID: PMC6564068 DOI: 10.1542/peds.2018-2305] [Citation(s) in RCA: 25] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Accepted: 02/28/2019] [Indexed: 11/24/2022] Open
Abstract
OBJECTIVES To compare monthly rates of specific types of crashes, violations, and license suspensions over the first years of licensure for drivers with and without attention-deficit/hyperactivity disorder (ADHD). METHODS We identified patients of New Jersey primary care locations of the Children's Hospital of Philadelphia who were born in 1987-1997, were New Jersey residents, had their last primary care visit at age ≥12 years, and acquired a driver's license (N = 14 936). Electronic health records were linked to New Jersey's licensing, crash, and violation databases. ADHD diagnosis was based on International Classification of Diseases, Ninth Revision, Clinical Modification diagnostic codes. We calculated monthly per-driver rates of crashes (at fault, alcohol related, nighttime, and with peers), violations, and suspensions. Adjusted rate ratios were estimated by using repeated-measures Poisson regression. RESULTS Crash rates were higher for drivers with ADHD regardless of licensing age and, in particular, during the first month of licensure (adjusted rate ratio: 1.62 [95% confidence interval: 1.18-2.23]). They also experienced higher rates of specific crash types: their 4-year rate of alcohol-related crashes was 2.1 times that of drivers without ADHD. Finally, drivers with ADHD had higher rates of moving violations (for speeding, seat belt nonuse, and electronic equipment use) and suspensions. In the first year of driving, the rate of alcohol and/or drug violations was 3.6 times higher for adolescents with ADHD. CONCLUSIONS Adolescents with ADHD are at particularly high crash risk in their initial months of licensure, and engagement in preventable risky driving behaviors may contribute to this elevated risk. Comprehensive preventive approaches that extend beyond current recommendations are critically needed.
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Affiliation(s)
- Allison E Curry
- Centers for Injury Research and Prevention and
- Departments of Pediatrics and
| | - Benjamin E Yerys
- Autism Research, Children's Hospital of Philadelphia, Philadelphia, Pennsylvania; and
- Psychiatry, Perelman School of Medicine, University of Pennsylvania, Philadelphia, Pennsylvania
| | | | | | - Thomas J Power
- Departments of Pediatrics and
- Psychiatry, Perelman School of Medicine, University of Pennsylvania, Philadelphia, Pennsylvania
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Palumbo AJ, Pfeiffer MR, Elliott MR, Curry AE. Young Driver Compliance With Graduated Driver Licensing Restrictions Before and After Implementation of a Decal Provision. J Adolesc Health 2018; 62:612-617. [PMID: 29434002 PMCID: PMC5930135 DOI: 10.1016/j.jadohealth.2017.11.292] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 08/18/2017] [Accepted: 11/09/2017] [Indexed: 11/24/2022]
Abstract
PURPOSE In May 2010, New Jersey implemented the first-in-the-nation decal provision to increase intermediate drivers' compliance with Graduated Driver Licensing restrictions and ultimately reduce young driver crashes. We previously found that the provision was associated with a 9.5% decline in crash rates. This study evaluates whether the decal provision was associated with an increase in compliance with passenger and nighttime restrictions. METHODS We analyzed New Jersey driver licensing and crash data from 2008 through 2012. We used the quasi-induced exposure method to estimate prevalence of noncompliance among 20,593 nonresponsible 17- to 20-year-old intermediate drivers involved in crashes. Multivariate log-binomial regression models compared the monthly prevalence of noncompliance with restrictions pre and post implementation, adjusted for age, sex, season, and area income and population density. Analyses were conducted in 2016-2017. RESULTS Overall estimated noncompliance with the nighttime restriction was 1.75% before and 1.71% after the decal provision (p = .83). Noncompliance with the passenger restriction was 8.68% before and 8.31% after (p = .35). Introduction of the decal provision was not associated with a change in noncompliance rates. CONCLUSIONS Compliance rates among New Jersey intermediate drivers were high both before and after the decal provision. Findings do not suggest that the decline in crash rates following implementation was because of increased compliance with nighttime or passenger driving restrictions. Additional research is needed to understand mechanisms by which decal provisions may reduce young driver crashes.
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Affiliation(s)
- Aimee J. Palumbo
- Center for Injury Research and Prevention, Children’s Hospital of Philadelphia, 3535 Market Street, Suite 1150, Philadelphia, PA 19104 USA,Penn Injury Science Center, University of Pennsylvania, Blockley Hall 936, 423 Guardian Drive, Philadelphia, PA 19104
| | - Melissa R. Pfeiffer
- Center for Injury Research and Prevention, Children’s Hospital of Philadelphia, 3535 Market Street, Suite 1150, Philadelphia, PA 19104 USA
| | - Michael R. Elliott
- Department of Biostatistics, School of Public Health, University of Michigan, 1415 Washington Heights, Ann Arbor, MI 48109 USA,Survey Methodology Program, Institute for Social Research, University of Michigan, Rm. 4068, 426 Thompson Street, Ann Arbor, MI 48109
| | - Allison E. Curry
- Center for Injury Research and Prevention, Children’s Hospital of Philadelphia, 3535 Market Street, Suite 1150, Philadelphia, PA 19104 USA
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Wali B, Khattak AJ, Xu J. Contributory fault and level of personal injury to drivers involved in head-on collisions: Application of copula-based bivariate ordinal models. ACCIDENT; ANALYSIS AND PREVENTION 2018; 110:101-114. [PMID: 29126021 DOI: 10.1016/j.aap.2017.10.018] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/21/2016] [Revised: 10/19/2017] [Accepted: 10/19/2017] [Indexed: 06/07/2023]
Abstract
The main objective of this study is to simultaneously investigate the degree of injury severity sustained by drivers involved in head-on collisions with respect to fault status designation. This is complicated to answer due to many issues, one of which is the potential presence of correlation between injury outcomes of drivers involved in the same head-on collision. To address this concern, we present seemingly unrelated bivariate ordered response models by analyzing the joint injury severity probability distribution of at-fault and not-at-fault drivers. Moreover, the assumption of bivariate normality of residuals and the linear form of stochastic dependence implied by such models may be unduly restrictive. To test this, Archimedean copula structures and normal mixture marginals are integrated into the joint estimation framework, which can characterize complex forms of stochastic dependencies and non-normality in residual terms. The models are estimated using 2013 Virginia police reported two-vehicle head-on collision data, where exactly one driver is at-fault. The results suggest that both at-fault and not-at-fault drivers sustained serious/fatal injuries in 8% of crashes, whereas, in 4% of the cases, the not-at-fault driver sustained a serious/fatal injury with no injury to the at-fault driver at all. Furthermore, if the at-fault driver is fatigued, apparently asleep, or has been drinking the not-at-fault driver is more likely to sustain a severe/fatal injury, controlling for other factors and potential correlations between the injury outcomes. While not-at-fault vehicle speed affects injury severity of at-fault driver, the effect is smaller than the effect of at-fault vehicle speed on at-fault injury outcome. Contrarily, and importantly, the effect of at-fault vehicle speed on injury severity of not-at-fault driver is almost equal to the effect of not-at-fault vehicle speed on injury outcome of not-at-fault driver. Compared to traditional ordered probability models, the study provides evidence that copula based bivariate models can provide more reliable estimates and richer insights. Practical implications of the results are discussed.
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Affiliation(s)
- Behram Wali
- Department of Civil & Environmental Engineering, The University of Tennessee, United States.
| | - Asad J Khattak
- Department of Civil & Environmental Engineering, The University of Tennessee, United States.
| | - Jingjing Xu
- Department of Civil & Environmental Engineering, The University of Tennessee, United States; School of Transportation, Wuhan University of Technology, China.
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Williams AF. Graduated driver licensing (GDL) in the United States in 2016: A literature review and commentary. JOURNAL OF SAFETY RESEARCH 2017; 63:29-41. [PMID: 29203021 DOI: 10.1016/j.jsr.2017.08.010] [Citation(s) in RCA: 58] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/25/2017] [Revised: 07/25/2017] [Accepted: 08/17/2017] [Indexed: 06/07/2023]
Abstract
This is the sixth in a series of reviews of research on graduated driver licensing (GDL) published in the Journal of Safety Research, the present review covering the period mid-2012 through 2016. In the two decades since GDL programs began to be introduced on a widespread basis in the United States, a vast amount of research has been published. The current review discusses recent research and the present state of knowledge on the following topics: characteristics of the novice driver population; effects of GDL on crashes for ages 16-19; the learner and intermediate periods; night and passenger restrictions; cellphone laws; GDL for older novices; enforcement of GDL rules; and programs attempting to influence GDL compliance and safe driving practices in general. GDL stands out as a successful policy for reducing teen driver crashes and is worth building on to extend its benefits. Strengthening existing GDL programs has the most potential for producing further crash reductions.
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Affiliation(s)
- Allan F Williams
- Allan F Williams LLC, 8200 Beech Tree Rd., Bethesda, MD 20817, USA.
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Curry AE. Estimating young novice drivers' compliance with graduated driver licensing restrictions: A novel approach. TRAFFIC INJURY PREVENTION 2017; 18:35-40. [PMID: 27064815 PMCID: PMC5237583 DOI: 10.1080/15389588.2016.1171857] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/09/2016] [Accepted: 03/24/2016] [Indexed: 05/21/2023]
Abstract
OBJECTIVES Current methods of estimating compliance with graduated driver licensing (GDL) restrictions among young drivers with intermediate driver's licenses-which include surveys, direct observations, and naturalistic studies-cannot sufficiently answer many critical foundational questions: What is the extent of noncompliance among the population of young intermediate drivers? How does compliance change over the course of licensure? How does compliance differ by driver subgroup and in certain driving environments? This article proposes an alternative and complementary approach to estimating population-level compliance with GDL nighttime and passenger restrictions via application of the quasi-induced exposure (QIE) method. METHODS The article summarizes the main limitations of previous methods employed to estimate compliance. It then introduces the proposed method of borrowing the fundamental assumption of the QIE method-that young intermediate drivers who are nonresponsible in clean (i.e., one and only one responsible driver) multivehicle crashes are reasonably representative of young intermediate drivers on the road-to estimate population-based compliance. I describe formative work that has been done to ensure this method can be validly applied among young intermediate drivers and provide a practical application of this method: an estimate of compliance with New Jersey's passenger restrictions among 8,006 nonresponsible 17- to 20-year-old intermediate drivers involved in clean 2-vehicle crashes from July 2010 through June 2012. RESULTS Over the study period, an estimated 8.4% (95% confidence interval, 7.8%, 9.0%) of intermediate drivers' trips were not in compliance with New Jersey's GDL passenger restriction. These findings were remarkably similar to previous estimates from more resource-intensive naturalistic studies (Goodwin et al. 2006 ; Klauer et al. 2011 ). CONCLUSION Studies can practically apply proposed methods to estimate population-level compliance with GDL passenger and night restrictions; examine how compliance varies by relevant driver, vehicle, and environmental factors; and evaluate the implementation of a GDL provision or other intervention aimed at increasing compliance with these restrictions. Important considerations and potential limitations and challenges are discussed.
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Affiliation(s)
- Allison E. Curry
- Center for Injury Research and Prevention, The Children’s Hospital of Philadelphia, 3535 Market Street, Suite 1150, Philadelphia, PA 19104 USA
- Center for Clinical Epidemiology and Biostatistics, Perelman School of Medicine at the University of Pennsylvania, 423 Guardian Drive, Philadelphia, PA 19104 USA
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Curry AE, Pfeiffer MR, Elliott MR. Compliance With and Enforcement of Graduated Driver Licensing Restrictions. Am J Prev Med 2017; 52:47-54. [PMID: 27746012 PMCID: PMC5167653 DOI: 10.1016/j.amepre.2016.08.024] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 03/02/2016] [Revised: 07/15/2016] [Accepted: 08/16/2016] [Indexed: 10/20/2022]
Abstract
INTRODUCTION Graduated Driver Licensing (GDL) is the most effective strategy to reduce the burden of young driver crashes, but the extent to which young intermediate (newly licensed) drivers comply with, and police enforce, important GDL passenger and night-time restrictions is largely unknown. Population-level rates of intermediate drivers' compliance were estimated as well as police enforcement among crash-involved drivers who were noncompliant. METHODS New Jersey's statewide driver licensing and crash databases were individually linked. The quasi-induced exposure method's fundamental assumption-that nonresponsible young intermediate drivers in clean (i.e., only one responsible driver) multivehicle crashes are reasonably representative of young intermediate drivers on the road-was borrowed. Incidence was then estimated among the 9,250 nonresponsible intermediate drivers who were involved in clean multivehicle crashes from July 2010 through June 2012. The proportion of crash-involved noncompliant intermediate drivers who were issued a GDL citation, by crash responsibility, was calculated. Data were collected in 2013 and analyzed in 2015. RESULTS Overall, 8.3% (95% CI=7.8%, 8.9%) of intermediate drivers' trips were noncompliant with New Jersey's passenger restriction and 3.1% (95% CI=2.8%, 3.5%) with its night-time restriction; compliance was significantly lower among those residing in low-income and urban areas, among male drivers, on weekends, and in summer months. The proportion of crash-involved noncompliant intermediate drivers who were issued a GDL citation was low (nonresponsible drivers, 10.3%; responsible drivers, 19.0%). CONCLUSIONS The vast majority of intermediate driver trips are in compliance with GDL restrictions. Outreach activities should consider focusing on higher-risk situations and groups with higher noncompliance rates.
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Affiliation(s)
- Allison E Curry
- Center for Injury Research and Prevention, The Children's Hospital of Philadelphia, Philadelphia, Pennsylvania; Department of Pediatrics, Perelman School of Medicine at the University of Pennsylvania, Philadelphia, Pennsylvania.
| | - Melissa R Pfeiffer
- Center for Injury Research and Prevention, The Children's Hospital of Philadelphia, Philadelphia, Pennsylvania
| | - Michael R Elliott
- Department of Biostatistics, School of Public Health, University of Michigan, Ann Arbor, Michigan; Survey Methodology Program, Institute for Social Research, University of Michigan, Ann Arbor, Michigan
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Curry AE, Pfeiffer MR, Elliott MR. Validation of quasi-induced exposure representativeness assumption among young drivers. TRAFFIC INJURY PREVENTION 2016; 17:346-51. [PMID: 26376230 PMCID: PMC4794414 DOI: 10.1080/15389588.2015.1091072] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/21/2023]
Abstract
OBJECTIVE Young driver studies have applied quasi-induced exposure (QIE) methods to assess relationships between demographic and behavioral factors and at-fault crash involvement, but QIE's primary assumption of representativeness has not yet been validated among young drivers. Determining whether nonresponsible young drivers in clean (i.e., only one driver is responsible) 2-vehicle crashes are reasonably representative of the general young driving population is an important step toward ensuring valid QIE use in young driver studies. We applied previously established validation methods to conduct the first study, to our knowledge, focused on validating the QIE representativeness assumption in a young driver population. METHODS We utilized New Jersey's state crash and licensing databases (2008-2012) to examine the representativeness assumption among 17- to 20-year-old nonresponsible drivers involved in clean multivehicle crashes. It has been hypothesized that if not-at-fault drivers in clean 2-vehicle crashes are a true representation of the driving population, it would be expected that nonresponsible drivers in clean 3-or-more-vehicle crashes also represent this same driving population (Jiang and Lyles 2010 ). Thus, we compared distributions of age, gender, and vehicle type among (1) nonresponsible young drivers in clean 2-vehicle crashes and (2) the first nonresponsible young driver in clean crashes involving 3 or more vehicles to (3) all other nonresponsible young drivers in clean crashes involving 3 or more vehicles. Distributions were compared using chi-square tests and conditional logistic regression; analyses were conducted for all young drivers and stratified by license status (intermediate vs. fully licensed drivers), crash location, and time of day of the crash. RESULTS There were 41,323 nonresponsible drivers in clean 2-vehicle crashes and 6,464 nonresponsible drivers in clean 3-or-more-vehicle crashes. Overall, we found that the distributions of age, gender, and vehicle type were not statistically significantly different between the 3 groups; in each group, approximately one fourth of drivers were represented in each age from age 17 through 20, half were males, and approximately 80% were driving a car/station wagon/minivan. In general, conclusions held when we evaluated the assumption within intermediate and fully licensed young drivers separately and by crash location and time. CONCLUSIONS It appears that the representativeness assumption holds among the population of young NJ drivers. We encourage young driver studies utilizing QIE methods to conduct internal validation studies to ensure appropriate application of these methods and we propose utilization of QIE methods to address broader foundational and applied questions in young driver safety.
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Affiliation(s)
- Allison E. Curry
- Center for Injury Research and Prevention, The Children’s Hospital of Philadelphia, 3535 Market Street, Suite 1150, Philadelphia, PA 19104 USA
- Center for Clinical Epidemiology and Biostatistics, Perelman School of Medicine at the University of Pennsylvania, 423 Guardian Drive, Philadelphia, PA 19104 USA
| | - Melissa R. Pfeiffer
- Center for Injury Research and Prevention, The Children’s Hospital of Philadelphia, 3535 Market Street, Suite 1150, Philadelphia, PA 19104 USA
| | - Michael R. Elliott
- Department of Biostatistics, School of Public Health, University of Michigan, 1415 Washington Heights, Ann Arbor, MI 48109 USA
- Survey Methodology Program, Institute for Social Research, University of Michigan, Rm. 4068, 426 Thompson Street, Ann Arbor, MI 48109
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Das S, Sun X, Wang F, Leboeuf C. Estimating likelihood of future crashes for crash-prone drivers. JOURNAL OF TRAFFIC AND TRANSPORTATION ENGINEERING (ENGLISH ED. ONLINE) 2015. [DOI: 10.1016/j.jtte.2015.03.003] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Çelik AK, Oktay E. A multinomial logit analysis of risk factors influencing road traffic injury severities in the Erzurum and Kars Provinces of Turkey. ACCIDENT; ANALYSIS AND PREVENTION 2014; 72:66-77. [PMID: 25016457 DOI: 10.1016/j.aap.2014.06.010] [Citation(s) in RCA: 46] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/31/2013] [Revised: 05/13/2014] [Accepted: 06/17/2014] [Indexed: 06/03/2023]
Abstract
A retrospective cross-sectional study is conducted analysing 11,771 traffic accidents reported by the police between January 2008 and December 2013 which are classified into three injury severity categories: fatal, injury, and no injury. Based on this classification, a multinomial logit analysis is performed to determine the risk factors affecting the severity of traffic injuries. The estimation results reveal that the following factors increase the probability of fatal injuries: drivers over the age of 65; primary-educated drivers; single-vehicle accidents; accidents occurring on state routes, highways or provincial roads; and the presence of pedestrian crosswalks. The results also indicate that accidents involving cars or private vehicles or those occurring during the evening peak, under clear weather conditions, on local city streets or in the presence of traffic lights decrease the probability of fatal injuries. This study comprises the most comprehensive database ever created for a Turkish sample. This study is also the first attempt to use an unordered response model to determine risk factors influencing the severity of traffic injuries in Turkey.
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Affiliation(s)
- Ali Kemal Çelik
- Department of Quantitative Methods, Faculty of Economics and Administrative Sciences, Atatürk University, Turkey.
| | - Erkan Oktay
- Department of Econometrics, Faculty of Economics and Administrative Sciences, Atatürk University, Turkey
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