• 제목/요약/키워드: poisson regression analysis

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Statistical Analysis of K-League Data using Poisson Model

  • Kim, Yang-Jin
    • 응용통계연구
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    • 제25권5호
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    • pp.775-783
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    • 2012
  • Several statistical models for bivariate poisson data are suggested and used to analyze 2011 K-league data. Our interest is composed of two purposes: The first purpose is to exploit potential attacking and defensive abilities of each team. Particular, a bivariate poisson model with diagonal inflation is incorporated for the estimation of draws. A joint model is applied to estimate an association between poisson distribution and probability of draw. The second one is to investigate causes on scoring time of goals and a regression technique of recurrent event data is applied. Some related future works are suggested.

Application of discrete Weibull regression model with multiple imputation

  • Yoo, Hanna
    • Communications for Statistical Applications and Methods
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    • 제26권3호
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    • pp.325-336
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    • 2019
  • In this article we extend the discrete Weibull regression model in the presence of missing data. Discrete Weibull regression models can be adapted to various type of dispersion data however, it is not widely used. Recently Yoo (Journal of the Korean Data and Information Science Society, 30, 11-22, 2019) adapted the discrete Weibull regression model using single imputation. We extend their studies by using multiple imputation also with several various settings and compare the results. The purpose of this study is to address the merit of using multiple imputation in the presence of missing data in discrete count data. We analyzed the seventh Korean National Health and Nutrition Examination Survey (KNHANES VII), from 2016 to assess the factors influencing the variable, 1 month hospital stay, and we compared the results using discrete Weibull regression model with those of Poisson, negative Binomial and zero-inflated Poisson regression models, which are widely used in count data analyses. The results showed that the discrete Weibull regression model using multiple imputation provided the best fit. We also performed simulation studies to show the accuracy of the discrete Weibull regression using multiple imputation given both under- and over-dispersed distribution, as well as varying missing rates and sample size. Sensitivity analysis showed the influence of mis-specification and the robustness of the discrete Weibull model. Using imputation with discrete Weibull regression to analyze discrete data will increase explanatory power and is widely applicable to various types of dispersion data with a unified model.

도시 및 지방 회전교차로 사고 발생 모형 (Urban and Rural Roundabout Accident Occurrence Models)

  • 백태헌;임진강;박병호
    • 한국도로학회논문집
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    • 제17권5호
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    • pp.39-46
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    • 2015
  • PURPOSES: The operational characteristics of roundabouts are generally influenced by location as well as traffic volume. The goal of this study is to develop urban and rural roundabout accident models and to discuss safety improvement guidelines based on the model. METHODS : To analyze accidents, count data models are utilized in this study. This study used accident data from 2010 to 2013 for 56 roundabouts collected from the Traffic Accident Analysis System (TASS) of Road Traffic Authority. Poisson and negative binomial regression models were developed for this study using NLOGIT 4.0. RESULTS : The main results are as follows. First, the hypotheses that there are distributional differences in the number of accidents and injuries/fatalities among rural and urban roundabouts were accepted. Second, Poisson and negative binomial regression accident models, which were all statistically significant, were developed. Seven independent variables, which were statistically significant, were adopted. Third, the common variable of models was evaluated to be traffic volume. CONCLUSIONS : This study developed two negative binomial roundabout accident models and suggested some accident reduction strategies. The results are expected to give some implications to the safety improvement of roundabout.

An Optimal Model Prediction for Fruits Diseases with Weather Conditions

  • Ragu, Vasanth;Lee, Myeongbae;Sivamani, Saraswathi;Cho, Yongyun;Park, Jangwoo;Cho, Kyungryong;Cho, Sungeon;Hong, Kijeong;Oh, Soo Lyul;Shin, Changsun
    • 스마트미디어저널
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    • 제8권1호
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    • pp.82-91
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    • 2019
  • This study provides the analysis and prediction of fruits diseases related to weather conditions (temperature, wind speed, solar power, rainfall and humidity) using Linear Model and Poisson Regression. The main goal of the research is to control the method of fruits diseases and also to prevent diseases using less agricultural pesticides. So, it is needed to predict the fruits diseases with weather data. Initially, fruit data is used to detect the fruit diseases. If diseases are found, we move to the next process and verify the condition of the fruits including their size. We identify the growth of fruit and evidence of diseases with Linear Model. Then, Poisson Regression used in this study to fit the model of fruits diseases with weather conditions as an input provides the predicted diseases as an output. Finally, the residuals plot, Q-Q plot and other plots help to validate the fitness of Linear Model and provide correlation between the actual and the predicted diseases as a result of the conducted experiment in this study.

식중독 발생 건수에 대한 계층 시계열 예측 (Forecasting hierarchical time series for foodborne disease outbreaks)

  • 여인권
    • 응용통계연구
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    • 제37권4호
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    • pp.499 -508
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    • 2024
  • 이 연구에서는 식중독 발생건수를 원인물질별로 나눈 자료와 합한 자료를 별개로 분석하여 예측값을 유도한 후 계층구조를 만족하도록 하는 계층 시계열 예측에 대해 알아본다. 원인물질별 식중독 방생건수는 영과잉 포아송 회귀모형과 음이항 회귀모형으로 분석하고 합한 식중독 발생건수 포아송 회귀모형과 음이항 회귀모형으로 분석한다. 계층 시계열 예측을 위해 최적결합 중 하나인 Wickramasuriya 등 (2019)의 MinT 추정이 사용되었다. 계층조정 과정에서 발생한 음의 예측값은 0으로 수정하고 나머지 최하위 변수에 가중치를 곱해 계층구조를 만족시킨다. 실증분석 결과를 보면 원인물질별 예측에서는 계층조정을 한 결과와 하지 않은 결과에 차이가 거의 없었으나 주요, 기타 및 전체에 대한 예측에서는 계층조정 한 결과가 대체로 우수한 것으로 나타났다. 중요한 것은 계층조정을 하지 않으면 최하위 변수의 예측빈도가 주요나 기타의 예측빈도 보다 큰 경우도 발생하지만 제안된 방법을 적용하면 계층구조를 이루는 예측값을 얻을 수 있다.

영과잉 회귀모형에 대한 베이지안 분석 (Bayesian Analysis for the Zero-inflated Regression Models)

  • 장학진;강윤회;이수범;김성욱
    • 응용통계연구
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    • 제21권4호
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    • pp.603-613
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    • 2008
  • 셀 수 있는 이산 자료 중에서 일반적인 모형에 비하여 영의 빈도가 과도하게 많이 관측되는 자료가 있다. 이러한 경우에 포아송 또는 음이항회귀모형과 같은 일반적인 회귀모형에 의한 분석은 적절하지 못하다. 본 논문에서는 영과잉 포아송회귀모형과 영과잉 음이항회귀모형에 대하여 베이지안 분석을 하였다. 또한, 마코브 연쇄 몬테카롤로 방법으로 계산한 베이즈 요인을 이용하여 모형선택을 하였다. 실제 교통사고 자료를 분석하여 이론적인 결과들을 뒷받침하였다.

인적특성을 고려한 고령 운전자 교통사고 영향요인 분석 (Analysis of Old Driver's Accident Influencing Factors Considering Human Factors)

  • 김태호;김은경;노정현
    • 한국안전학회지
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    • 제24권1호
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    • pp.69-77
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    • 2009
  • This paper reports the aging driver traffic accident severity modeling results. For the modeling, Poisson regression approach is applied using the data set obtained from the Korea Transportation Safety Authority's simulator-based driver aptitude test results. The test items include the estimations of moving objects' speed and stopping distance, drivers' multi-task capability, and kinetic depth perception and so on. The resulting model with the response variable of equivalent property damage only(EPDO) indicated that EPDO is significantly influenced by moving objects' speed estimation and drivers' multi-task capabilities. More interestingly, a comparison with the younger driver model revealed that the degradation of such capabilities may result in severer crashes for older drivers as suggested by the higher estimated parameters for the older driver model.

고령운전자 교통안전성 평가모형 개발 (The Development of Traffic Accident Severity Evaluation Models for Elderly Drivers)

  • 김태호;이기영;최윤환;박제진
    • 한국ITS학회 논문지
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    • 제8권2호
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    • pp.118-127
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    • 2009
  • 본 연구는 최근 사회적으로 이슈가 되고 있는 고령자 교통사고 인적요인을 평가할 수 있는 모형 개발을 목적으로 한다. 본 연구의 수행을 위해 교통안전공단의 운전자적성검사(Simulation, 설문조사) 자료를 수집하였으며, 교통사고영향 모형개발을 위해 포아송 및 음이항 회귀분석(Poisson Regression Analysis)을 실시하였다. 교통안전성 평가모형 분석결과, 고령운전자의 경우 선택적 주의능력, 속도예측능력, 주의배분능력이 교통사고에 유의한 정(+)의 영향을 미치는 것으로 분석되었다. 다음으로 비고령운전자의 경우 선택적 주의능력, 속도예측능력, 거리지각능력, 주의배분능력, 주의전환능력이 교통사고와 유의한 정(+)의 영향을 미치는 것으로 분석되었다. 이러한 분석결과를 바탕으로 고령운전자와 비고령운전자의 사고발생에 미치는 영향요인은 서로 다르게 나타났으며, 교통사고를 미연에 방지하기 위한 최소한의 방편으로 고령운전자와 비고령운전자를 구분하여 교통사고 예방교육을 실시해야 할 것으로 판단된다.

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직광에 의한 눈부심 현상이 터널 출구부 안전성에 미치는 영향 연구 (A Study for Influence of Sun Glare Effect on Traffic Safety at Tunnel Hood)

  • 김영록;김상엽;최재성;이대성
    • 한국도로학회논문집
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    • 제14권6호
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    • pp.103-110
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    • 2012
  • PURPOSES : In Korea, over 70 percent of the land consists of mountainous and rolling area. Thus, tunnels continue its upward trend as road network are extended. In these circumstances, the importance of tunnel has been increased nowadays and then its safety investigation and research should be performed. This study is focus on confirming and improving the safety of tunnel. On tunnel hood, sunglare effect can irritate driver's behavior instantly and this can result in incident. METHODS : The study of this phenomenon is rarely conducted in domestic and foreign papers, so there is no proper measure for this. This study analyzes the driving environment of the effect of sunglare effect on tunnel hood. RESULTS : Traffic accidents stem from complex set of factors. This study build the Traffic Accident Prediction Models to find out the effect of sunglare effect on tunnel's hood. The independent variables are traffic volume, geometric design of road, length of tunnel and road side environment. Using these variables, this model estimates accident frequency on tunnel hood by Poisson regression model and Negative binomial regression model. Although Poisson regression model have more proper goodness of fit than Negative binomial regression model, Poisson regression model has overdipersion problem. So the Negative binomial regression model is used in this analysis. CONCLUSIONS : Consequently, the model shows that sunglare effect can play a role in driving safety on tunnel hood. As a result, the information of sunglare effect should be noticed ahead of tunnel hood so this can prevent drivers from being in hazard situation.