• Title/Summary/Keyword: Negative Binomial Model

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Modeling of The Learning-Curve Effects on Count Responses (개수형 자료에 대한 학습곡선효과의 모형화)

  • Choi, Minji;Park, Man Sik
    • The Korean Journal of Applied Statistics
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    • v.27 no.3
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    • pp.445-459
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    • 2014
  • As a certain job is repeatedly done by a worker, the outcome comparative to the effort to complete the job gets more remarkable. The outcome may be the time required and fraction defective. This phenomenon is referred to a learning-curve effect. We focus on the parametric modeling of the learning-curve effects on count data using a logistic cumulative distribution function and some probability mass functions such as a Poisson and negative binomial. We conduct various simulation scenarios to clarify the characteristics of the proposed model. We also consider a real application to compare the two discrete-type distribution functions.

Traffic Accident Models of Cheongju Four-Legged Signalized Intersections by Accident Type (사고유형에 따른 청주시 4지 신호교차로 교통사고모형)

  • Park, Byung-Ho;Han, Sang-Wook;Kim, Tae-Young;Kim, Won-Ho
    • Journal of Korean Society of Transportation
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    • v.26 no.5
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    • pp.153-162
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    • 2008
  • This study deals with the traffic accidents at the 4-legged signalized intersections in Cheong-ju. The purpose is to comparatively analyze the characteristics and models by the accident type using the data of 143 intersections. In pursuing the above, this study gives particular emphasis to modeling such the accidents as head on collision, rear end collision, side swipe, side right angle collision, and others. The main results are the followings. First, the overdispersion tests show that the negative binomial regression models are appropriate to the traffic accident data in the above contexts. Second, five accident models are developed, which are all analyzed to be statistically significant. Finally, the models are comparatively evaluated using the common variable(ADT) and type-specific variables.

Adjustments of dispersion statistics in extended quasi-likelihood models (준우도 함수의 분산치 교정)

  • 김충락;서한손
    • The Korean Journal of Applied Statistics
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    • v.6 no.1
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    • pp.41-52
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    • 1993
  • In this paper we study numerical behavior of the adjustments for the variances of the pearson and deviance type dispersion statistics in two overdispersed mixture models; negative binomial and beta-binomial distribution. They are important families of an extended quasi-likelihood model which is very useful for the joint modelling of mean and dispersion. Comparisons are done for two types of dispersion statistics for various mean and dispersion parameters by simulation studies.

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An Analysis on the Gender Differences in the Level of Accident Risk using Generalized Linear and Heckman Methods (일반화선형모형과 헤크먼모형을 활용한 성별 자동차사고 위험도 분석)

  • Kim, DaeHwan;Park, HwaGyu
    • The Korean Journal of Applied Statistics
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    • v.27 no.1
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    • pp.147-157
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    • 2014
  • Women's roles have changed substantially in economically developed countries; subsequently, the ratio of female drivers has also increased. In such countries, there has been considerable interest in assessing gender differences in vehicle accident risks and reasons to explain the gender differences. This study investigates the gender differences in vehicle accident risk based on 500,000 drivers randomly selected from a population sample. A Heckman model is used for accident damage and a negative binomial model is used for the accident frequency. Empirical results show that male drivers are 8.3% riskier than female drivers in terms of accident damage; however, female drivers are 113% risker than male drivers in term of accident frequency. We can implement more practical policies to reduce vehicle accidents if we can understand the reasons for the gender differences.

Study on the Development of Truck Traffic Accident Prediction Models and Safety Rating on Expressways (고속도로 화물차 교통사고 건수 예측모형 및 안전등급 개발 연구)

  • Jungeun Yoon;Harim Jeong;Jangho Park;Donghyo Kang;Ilsoo Yun
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.22 no.1
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    • pp.1-15
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    • 2023
  • In this study, the number of truck traffic accidents was predicted by using Poisson and negative binomial regression analysis to understand what factors affect accidents using expressway data. Significant variables in the truck traffic accident prediction model were continuous driving time, link length, truck traffic volume. number of bridges and number of drowsy shelters. The calculated LOSS rating was expressed on the national expressway network to diagnose the risk of truck accidents. This is expected to be used as basic data for policy establishment to reduce truck accidents on expressways.

Analysis of Accident Characteristics and Improvement Strategies of Flash Signal-operated Intersection in Seoul (서울시 점멸신호 운영에 따른 교통사고 분석 및 개선방안에 관한 연구)

  • Kim, Seung-Jun;Park, Byung-Jung;Lee, Jin-Hak;Kim, Ok-Sun
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.13 no.6
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    • pp.54-63
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    • 2014
  • Traffic accident frequency and severity level in Korea are known to be very serious. Especially the number of pedestrian fatalities was much worse and 1.6 time higher than the OECD average. According to the National Police Agency, the flash signals are reported to have many safety benefits as well as travel time reduction, which is opposed to the foreign studies. With this background of expanding the flash signal, this research aims to investigate the overall impact of the flash signal operation on safety, investigating and comparing the accident occurrence on the flash signal and the full signal intersections. For doing this accident prediction models for both flash and full signal intersections were estimated using independent variables (geometric features and traffic volume) and 3-year (2011-2013) accident data collected in Seoul. Considering the rare and random nature of accident occurrence and overdispersion (variance > mean) of the data, the negative binomial regression model was applied. As a result, installing wider crosswalk and increasing the number of pedestrian push buttons seemed to increase the safety of the flash signal intersections. In addition, the result showed that the average accident occurrence at the flash signal intersections was higher than at the full signal-operated intersections, 9% higher with everything else the same.

A Study on Shipments of Swimming Crab Using Negative Binomial Regression Model (음이항회귀모형을 이용한 꽃게 출하량에 관한 연구)

  • Nam, Yeongeun;Seo, Jihyun;Choi, Gayeong;Lee, Kyeongjun
    • Journal of the Korean Data Analysis Society
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    • v.20 no.6
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    • pp.2941-2951
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    • 2018
  • The purpose of this paper is to analyse the effect of ocean weather factors on shipments of swimming crab. We use the data of data portal and ocean weather factors (mean wind velocity, mean atmospheric pressure, mean relative humidity, mean air temperature, mean water temperature, mean maximum wave height, mean significant wave height, maximum significant wave height, maximum wave height, mean wave period, maximum wave period). We did statistical analysis using Poisson regression analysis and negative binomial regression analysis. As the result of study, important factors influential in the shipments of swimming crab turn out to be mean wind velocity, mean atmospheric pressure, mean relative humidity, mean water temperature, maximum wave height, mean wave period and maximum wave period. the shipments of swimming crab increases as mean wind velocity, mean atmospheric pressure, mean relative humidity, mean water temperature increases or mean wave period increase. However, as maximum wave height, maximum wave period decreases, the shipment of swimming crab increases.

Evaluation of Related Risk Factors in Number of Musculoskeletal Disorders Among Carpet Weavers in Iran

  • Karimi, Nasim;Moghimbeigi, Abbas;Motamedzade, Majid;Roshanaei, Ghodratollah
    • Safety and Health at Work
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    • v.7 no.4
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    • pp.322-325
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    • 2016
  • Background: Musculoskeletal disorders (MSDs) are a common problem among carpet weavers. This study was undertaken to introduce affecting personal and occupational factors in developing the number of MSDs among carpet weavers. Methods: A cross-sectional study was performed among 862 weavers in seven towns with regard to workhouse location in urban or rural regions. Data were collected by using questionnaires that contain personal, workplace, and information tools and the modified Nordic MSDs questionnaire. Statistical analysis was performed by applying Poisson and negative binomial mixed models using a full Bayesian hierarchical approach. The deviance information criterion was used for comparison between models and model selection. Results: The majority of weavers (72%) were female and carpet weaving was the main job of 85.2% of workers. The negative binomial mixed model with lowest deviance information criterion was selected as the best model. The criteria showed the convergence of chains. Based on 95% Bayesian credible interval, the main job and weaving type variables statistically affected the number of MSDs, but variables age, sex, weaving comb, work experience, and carpet weaving looms were not significant. Conclusion: According to the results of this study, it can be concluded that occupational factors are associated with the number of MSDs developing among carpet weavers. Thus, using standard tools and decreasing hours of work per day can reduce frequency of MSDs among carpet weavers.

Comparative Analysis on the Characteristics and Models of Traffic Accidents by Day and Nighttime in the Case of Cheongju 4-legged ignalized Intersections (주·야간 교통사고의 특성 및 사고모형 비교분석 -청주시 4지 신호교차로를 중심으로 -)

  • Yoo, Doo Seon;Oh, Sang Jin;Kim, Tae Young;Park, Byung Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.2D
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    • pp.181-189
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    • 2008
  • The purpose of this study is to comparatively analyze the characteristics and models of traffic accidents by day and nighttime. In pursuing the above, this study gives particular attentions to testing the differences and developing the models (multiple linear and non-linear and Poisson and negative binomial regression) using the data of Cheongju 4-legged signalized intersections. The main results analyzed are as follows. First, the differences between day and nighttime accidents were defined. Second, 12 accident models which are all statistically significant were developed. Finally, the differences between day and nighttime models were comparatively analyzed using the common and specific variables.

A Development of Traffic Accident Estimation Model by Random Parameter Negative Binomial Model: Focus on Multilane Rural Highway (확률모수를 이용한 교통사고예측모형 개발: 지방부 다차로 도로를 중심으로)

  • Lim, Joon Beom;Lee, Soo Beom;Kim, Joon-Ki;Kim, Jeong Hyun
    • Journal of Korean Society of Transportation
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    • v.32 no.6
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    • pp.662-674
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    • 2014
  • In this study, accident frequency prediction models were constructed by collecting variables such as geometric structures, safety facilities, traffic volume and weather conditions, land use, highway design-satisfaction criteria along 780km (4,372 sections) of 4 lane-highways over 8 areas. As for models, a fixed parameter model and a random parameter model were employed. In the random parameter model, some influences were reversed as the range was expressed based on specific probability in the case of no fixed coefficients. In the fixed parameter model, the influences of independent variables on accident frequency were interpreted by using one coefficient, but in the random parameter model, more various interpretations were took place. In particular, curve radius, securement of shoulder lane, vertical grade design criteria satisfaction showed both positive and negative influence, according to specific probability. This means that there could be a reverse effect depending on the behavioral characteristics of drivers and the characteristics of highway sections. Rather, they influence the increase of accident frequency through the all sections.