• 제목/요약/키워드: Binomial Regression Analysis

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Bayesian Analysis for Random Effects Binomial Regression

  • Kim, Dal-Ho;Kim, Eun-Young
    • Communications for Statistical Applications and Methods
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    • 제7권3호
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    • pp.817-827
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    • 2000
  • In this paper, we investigate the Bayesian approach to random effect binomial regression models with improper prior due to the absence of information on parameter. We also propose a method of estimating the posterior moments and prediction and discuss some general methods for studying model assessment. The methodology is illustrated with Crowder's Seeds Data. Markov Chain Monte Carlo techniques are used to overcome the computational difficulties.

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Mixed Effects Kernel Binomial Regression

  • Hwang, Chang-Ha
    • Journal of the Korean Data and Information Science Society
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    • 제19권4호
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    • pp.1327-1334
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    • 2008
  • Mixed effect binomial regression models are widely used for analysis of correlated count data in which the response is the result of a series of one of two possible disjoint outcomes. In this paper, we consider kernel extensions with nonparametric fixed effects and parametric random effects. The estimation is through the penalized likelihood method based on kernel trick, and our focus is on the efficient computation and the effective hyperparameter selection. For the selection of hyperparameters, cross-validation techniques are employed. Examples illustrating usage and features of the proposed method are provided.

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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.

Analysis of Food Poisoning via Zero Inflation Models

  • Jung, Hwan-Sik;Kim, Byung-Jip;Cho, Sin-Sup;Yeo, In-Kwon
    • 응용통계연구
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    • 제25권5호
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    • pp.859-864
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    • 2012
  • Poisson regression and negative binomial regression are usually used to analyze counting data; however, these models are unsuitable for fit zero-inflated data that contain unexpected zero-valued observations. In this paper, we review the zero-inflated regression in which Bernoulli process and the counting process are hierarchically mixed. It is known that zero-inflated regression can efficiently model the over-dispersion problem. Vuong statistic is employed to compare performances of the zero-inflated models with other standard models.

기상상태에 따른 국내 원형교차로 사고모형 (Accident Models of Circular Intersections by Weather Condition in Korea)

  • 박병호;한수산
    • 한국안전학회지
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    • 제27권6호
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    • pp.178-184
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    • 2012
  • This study deals with the traffic accidents by weather condition. The objectives are to comparatively analyze the characteristics, and to develop the models of traffic accidents by weather condition. In pursuing the above, this paper gives particular attentions to testing the differences between two groups, and developing the models(Poisson and negative binomial regression) using the data of domestic circular intersections. The main results are as follows. First, three Poisson models and one negative binomial models which were all statistically significant were developed using the number of accident and EPDO by the clear weather and other as the dependant variables. Second, the differences between two models were comparatively analyzed using the chosen variables. This paper might be expected to give some implications to traffic safety policy-making to reduce and prevent the traffic accidents in circular intersections.

3지 신호교차로의 교통사고 발생모형 - 청주시를 사례로 - (Traffic Accident Models of 3-Legged Signalized Intersections in the Case of Cheongju)

  • 박병호;한상욱;김태영
    • 한국안전학회지
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    • 제24권2호
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    • pp.94-99
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    • 2009
  • This study deals with the traffic accidents at the 3-legged signalized intersections in Cheongu. The goals are to analyze the geometric, traffic and operational conditions of intersections and to develop a various functional forms that predict the accidents. The models are developed through the correlation analysis, the multiple linear, the multiple nonlinear, Poisson and negative binomial regression analysis. In this study, two multiple linear, two multiple nonlinear and two negative binomial regression models were calibrated. These models were all analyzed to be statistically significant. All the models include 2 common variables(traffic volume and lane width) and model-specific variables. These variables are, therefore, evaluated to be critical to the accident reduction of Cheongju.

포아송 및 음이항 회귀분석을 이용한 해상운임 결정요인이 해운선사의 블랭크 세일링에 미치는 영향 분석 연구 (A Study on Impact of Factors Influencing Maritime Freight Rates Using Poisson and Negative Binomial Regression Analysis on Blank Sailings of Shipping Companies)

  • 류원형;남형식
    • 한국항해항만학회지
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    • 제48권1호
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    • pp.62-77
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    • 2024
  • 해상운송 산업에서는 공급과 수요의 불균형이 지속적으로 증가하면서 세계 주요 해운선사들이 해운 시황에 따른 선복량을 탄력적으로 조절하기 위해 블랭크 세일링을 주요 수단으로 사용하고 있다. 일반적으로 블랭크 세일링은 중국의 춘절 기간에 맞추어 많이 실시되어 왔지만, 2020년부터 시작된 글로벌 팬데믹과 미국·중국 간 무역 전쟁 등과 같은 특수한 상황으로 인해 최근 해운선사들은 기존 대비 큰 규모의 블랭크 세일링을 실시하였다. 이러한 블랭크 세일링은 화물 운송 지연에 직접적 영향을 미치기 때문에 기업과 소비자의 측면에서 부정적인 영향을 초래할 수 있다. 따라서 본 연구는 이에 선제적으로 대응하기 위해 포아송 회귀모형과 음이항 회귀모형을 활용하여 해상운임 결정요인이 해운선사의 블랭크 세일링에 미치는 영향력을 분석하였다. 분석 결과, 포아송 회귀분석의 2M의 경우 유의한 변수로 글로벌 컨테이너 해상물동량, 컨테이너 선복량, 컨테이너선 해체량, 컨테이너선 신조선가지수, OECD 인플레이션을 도출하였고, 음이항 회귀분석의 Ocean Alliance의 경우 글로벌 컨테이너 해상물동량과 컨테이너선 발주량을, THE Alliance의 경우 컨테이너선 선복량과 금리를, Non-Alliance의 경우 국제유가, 글로벌 공급망 압력지수, 컨테이너선 선복량, OECD 인플레이션을, Total Alliance의 경우 컨테이너선 선복량과 금리를 유의한 변수로 도출할 수 있었다.

영과잉 가산자료(Zero-inflated Count Data) 분석 방법을 이용한 지역사회 거주 노인의 노인학대 발생과 심각성에 미치는 위험요인 분석 (Risk Factors Influencing Probability and Severity of Elder Abuse in Community-dwelling Older Adults: Applying Zero-inflated Negative Binomial Modeling of Abuse Count Data)

  • 장미희;박창기
    • 대한간호학회지
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    • 제42권6호
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    • pp.819-832
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    • 2012
  • Purpose: This study was conducted to identify risk factors that influence the probability and severity of elder abuse in community-dwelling older adults. Methods: This study was a cross-sectional descriptive study. Self-report questionnaires were used to collect data from community-dwelling Koreans, 65 and older (N=416). Logistic regression, negative binomial regression and zero-inflated negative binomial regression model for abuse count data were utilized to determine risk factors for elder abuse. Results: The rate of older adults who experienced any one category of abuse was 32.5%. By zero-inflated negative binomial regression analysis, the experience of verbal-psychological abuse was associated with marital status and family support, while the experience of physical abuse was associated with self-esteem, perceived economic stress and family support. Family support was found to be a salient risk factor of probability of abuse in both verbal-psychological and physical abuse. Self-esteem was found to be a salient risk factor of probability and severity of abuse in physical abuse alone. Conclusion: The findings suggest that tailored prevention and intervention considering both types of elder abuse and target populations might be beneficial for preventative efficiency of elder abuse.

기후변수를 기반으로 한 몽골 재해발생 분석 (Analysis of Disaster Occurrences in Mongolia Based on Climatic Variables)

  • 이다혜;오트공바야르 우진;장인홍
    • 통합자연과학논문집
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    • 제17권3호
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    • pp.93-103
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    • 2024
  • Mongolia's diverse geographical landscape and harsh climate make it particularly susceptible to various natural disasters, including forest fires, heavy rains, dust storms, and heavy snow. This study aims to explore the relationships between key climatic variables and the frequency of these disasters. We collected monthly data from January 2022 to April 2024, encompassing average temperature, temperature variability (absolute temperature difference), average humidity, and precipitation across the capitals of Mongolia's 21 provinces and the capital city Ulaanbaatar. The data were analyzed using multiple statistical models: Linear Regression, Poisson Regression, and Negative Binomial Regression. Descriptive statistics provided initial insights into the variability and distribution of the climatic variables and disaster occurrences. The models aimed to identify significant predictors and quantify their impact on disaster frequencies. Our approach involved standardizing the predictor variables to ensure comparability and interpretability of the regression coefficients. Our findings indicate that climatic variables significantly affect the frequency of natural disasters. The Negative Binomial Regression model was particularly suitable for our data, which exhibited overdispersion common characteristic in count data such as disaster occurrences. Understanding these relationships is crucial for developing targeted disaster management strategies and policies to mitigate the adverse effects of climate change on Mongolian communities. This research provides valuable insights into how climatic changes impact disaster occurrences, offering a foundation for informed decision-making and policy development to enhance community resilience.

고속도로 인터체인지 연결로에서의 교통사고 예측모형 개발 (Development of Accident Prediction Models for Freeway Interchange Ramps)

  • 박효신;손봉수;김형진
    • 대한교통학회지
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    • 제25권3호
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    • pp.123-135
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    • 2007
  • 본 연구에서는 고속도로 트럼펫 인터체인지상에서 연결로 형식별로 일어나는 교통사고와 도로 기하구조 및 교통량등의 교통사고 요인들과의 관계를 분석하기 위해 교통사고의 분포의 특성을 분석하여 적합도 검증을 통해 모형추정시 가장 적절한 분포를 찾은 결과 음이항분포(Negative binomial distribution)가 선택되었다. 선택된 분포에 기반하여 트럼펫 인터체인지 연결로 전체, 연결로 형식별(직결, 준직결, 루프연결로) 각각의 음이항회귀모형 (Negative binomial regression model)을 개발하였다. 총 4개의 모형을 개발하고 그것의 적합도를 판단하는 여러 가지 통계값과 모형에서 예측한 값과 실제 관측값과의 차이를 분석한 결과 예측모형이 적합하게 구축되었음을 보였다. 추정된 모형의 통계적으로 유의한 변수들을 분석하여 교통사고를 설명하는데 유의한 변수들을 판단하고 이러한 변수들을 도로의 설계자가 도로 설계 및 운영에 적용하거나 교통안전계획 수립시 해당도로의 교통특성을 반영한 교통사고 절감 대책 등에 이용할 수 있을 것이다.