• Title/Summary/Keyword: 포아송 회귀분석

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A Study on the Influence of the Space Syntax and the Urban Characteristics on the Incidence of Crime Using Negative Binomial Regression (음이항 회귀모형을 이용한 공간구문론 및 도시특성요소가 범죄발생에 미치는 영향 연구)

  • Kim, Hyeong Jun;Choi, Yeol
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.36 no.2
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    • pp.333-340
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    • 2016
  • The aim of this study is to specifically understand the characteristics of the crime by empirical analysis for the determining factors that affect determining the crime through the space syntax in Busan. In this study, poisson regression and negative binomial regression were used for accurate analysis. 8 variables that were significant of the total 13 variables. The summary if this study based on the results is as follow. Statistically significant variables are female ratio, over 65 population ratio, administration are and commercial area ratio in characteristics. And the more CCTVs a region has, the lower crime rate it shows. As a results of examing whether space syntax variables can predict crime occurrence places. Space with low connectivity come to be a crime causal factor because they have few other related spaces and thereby have low possibility of sudden appearance of interrupters, which results in low surveillance levels of foot passengers. It will provide the basic data that can contribute to urban planning and implementation of crime prevention aspects.

The study on the determinants of the number of job changes (중소기업 청년인턴 이직횟수 결정요인 분석)

  • Park, Sungik;Ryu, Jangsoo;Kim, Jonghan;Cho, Jangsik
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.2
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    • pp.387-397
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    • 2015
  • In this paper, the determinants of the number of job changes in the SMEs (small and medium enterprises) youth-intern project is analysed, utilizing SMEs youth-intern DB and employment insurance DB. Since the number of job changes are count data which take integer values other than negative values, general linear regression analysis becomes inappropriate. Therefore, four models such as Poisson regression model, zero inflated Poisson regression model, negative binomial regression model and zero inflated negative binomial regression model are tried to fit count data. A zero inflated negative binomial regression model is selected to be the best model. Major results are the followings. First, the number of job changes is shown to be significantly smaller in the treatment group than in the control group. Second, the number of job changes turns out to be significantly smaller in the young-age group than in the old-age group. Third, it is also shown that the number of job changes of man is significantly greater than that of woman. Lastly, the number of job changes in the bigger firm is shown to be significantly less than that of the smaller firm.

Analysis of Accident Characteristics and Development of Accident Models in the Signalized Intersections of Cheongju and Cheongwon (지방부 신호교차로 사고특성분석 및 모형개발 (청주.청원을 중심으로))

  • Park, Byung-Ho;Yoo, Doo-Seon;Yang, Jeong-Mo;Lee, Young-Min
    • Journal of Korean Society of Transportation
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    • v.26 no.2
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    • pp.35-46
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    • 2008
  • The purposes of this study are to analyze the characteristics and to develop the models of traffic accidents. In pursuing the above, this study gives particular attentions to developing the models(multiple linear, poisson and negative binomial regression) using the data of Cheongju and Cheongwon signalized intersections. The main results analyzed are as follows. First, the accident characteristics of rural area were defined by factor. Second, 4 accident models which are all statistically significant were developed. Finally, such the variables as $X_2$ and $X_{11}$ were evaluated to be specific variables which reflect the characteristics of rural area.

A Bayesian zero-inflated Poisson regression model with random effects with application to smoking behavior (랜덤효과를 포함한 영과잉 포아송 회귀모형에 대한 베이지안 추론: 흡연 자료에의 적용)

  • Kim, Yeon Kyoung;Hwang, Beom Seuk
    • The Korean Journal of Applied Statistics
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    • v.31 no.2
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    • pp.287-301
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    • 2018
  • It is common to encounter count data with excess zeros in various research fields such as the social sciences, natural sciences, medical science or engineering. Such count data have been explained mainly by zero-inflated Poisson model and extended models. Zero-inflated count data are also often correlated or clustered, in which random effects should be taken into account in the model. Frequentist approaches have been commonly used to fit such data. However, a Bayesian approach has advantages of prior information, avoidance of asymptotic approximations and practical estimation of the functions of parameters. We consider a Bayesian zero-inflated Poisson regression model with random effects for correlated zero-inflated count data. We conducted simulation studies to check the performance of the proposed model. We also applied the proposed model to smoking behavior data from the Regional Health Survey (2015) of the Korea Centers for disease control and prevention.

A Study on Crash Causations for Railroad-Highway Crossings (철도건널목 사고요인 분석에 관한 연구)

  • O, Ju-Taek;Sin, Seong-Hun;Seong, Nak-Mun;Park, Dong-Ju;Choe, Eun-Su
    • Journal of Korean Society of Transportation
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    • v.23 no.1
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    • pp.33-44
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    • 2005
  • Railroad crossing crashes are fewer than road crashes, but with regard to crash severity, they can be serious injury crashes. There should be, therefore, enormous efforts to increase the safety of railroad crossings. The objective of this paper is to identify and understand factors associated with railroad crossing crashes. Statistical models are used to examine the relationships between crossing accidents and geometric elements of crossings. The results show the Poisson model is the most appropriate method for the crossing accidents, because overdispersion was not observed. This study identifies seven significant factors associated with railroad crossing crashes through the main and variant models. With regard to explanatory factors on crossing safety, the total traffic volume, daily train volume, presence of commercial area around crossings, distance of train detector from crossings, time duration between the activation of warning signals and gates, crossing types, and speed hump were found to affect the safety of railroad crossings.

Bayesian Analysis of a Zero-inflated Poisson Regression Model: An Application to Korean Oral Hygienic Data (영과잉 포아송 회귀모형에 대한 베이지안 추론: 구강위생 자료에의 적용)

  • Lim, Ah-Kyoung;Oh, Man-Suk
    • The Korean Journal of Applied Statistics
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    • v.19 no.3
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    • pp.505-519
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    • 2006
  • We consider zero-inflated count data, which is discrete count data but has too many zeroes compared to the Poisson distribution. Zero-inflated data can be found in various areas. Despite its increasing importance in practice, appropriate statistical inference on zero-inflated data is limited. Classical inference based on a large number theory does not fit unless the sample size is very large. And regular Poisson model shows lack of St due to many zeroes. To handle the difficulties, a mixture of distributions are considered for the zero-inflated data. Specifically, a mixture of a point mass at zero and a Poisson distribution is employed for the data. In addition, when there exist meaningful covariates selected to the response variable, loglinear link is used between the mean of the response and the covariates in the Poisson distribution part. We propose a Bayesian inference for the zero-inflated Poisson regression model by using a Markov Chain Monte Carlo method. We applied the proposed method to a Korean oral hygienic data and compared the inference results with other models. We found that the proposed method is superior in that it gives small parameter estimation error and more accurate predictions.

Effects on the Accident Reduction of Red Light Camera Using Empirical Bayes Method (경험적 베이즈 방법을 이용한 무인신호위반단속장비의 사고감소 효과)

  • Kim, Tae-Young;Park, Byung-Ho
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.8 no.6
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    • pp.46-54
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    • 2009
  • This study deals with the effects on the accident reduction according to the installation of RLC (red light cameras). The objective is to analyze the effects on the accident reduction using EB (Empirical Bayes) method. In pursuing the above, the study uses the 728 accident data occurred at the 28 intersections which RLC are installed. The main results are as follows. First, the effects of accident reduction were analyzed to be 20.74% by simple before-after study method. Second, the safety performance functions (SPF) were developed by the Poisson and negative binominal regression models, and since the over-dispersion parameter was close to zero, Poisson model was evaluated to be more appropriate than the negative binominal model. Also, the Poisson model was analyzed to be statistically significant because its ${\rho}^2$ value was 0.409. Finally, the results of analysis using an EB method showed that the accidents were reduced by range from 3.89 to 29.23%.

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The Mechanical Properties of the Geochang Granite (거창화강암의 역학적 특성에 관한 연구)

  • Kim, Myeong Kyun
    • Tunnel and Underground Space
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    • v.25 no.1
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    • pp.24-36
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    • 2015
  • The Geochang granite widely used in construction works is one of the most popular dimension stones in Korea. In order to evaluate the physical properties of rock, a lot of laboratory tests for the Geochang granite were conducted to find unit weight, absorption ratio, P wave velocity, S wave velocity, uniaxial compressive strength, Young's modulus, Poisson's ratio, tensile strength, cohesion, friction angle and point load strength index. The uniaxial compressive strength of the Geochang granite was 19.5 times tensile strength and also 8.6 times cohesion, besides P wave velocity was 1.5 times S wave velocity. Correlation analyses were also conducted to find the correlation among 11 different physical properties, where the uniaxial compressive strength showed Pearson correlation coefficient of more than 0.8 with Poisson's ratio, point load strength index and Young's modulus, respectively. Regression analyses were finally conducted by means of both linear and multiple analysis and the brief results including coefficient of determination of more than 0.7 were presented.

Reanalysis of 2002 Donation Frequency Data: Corrections and Supplements (2002년 기부횟수 자료의 재분석: 수정 및 보완)

  • Kim, Byung Soo;Lee, Juhyung;Kim, Inyoung;Park, Su-Bum;Park, Tae-Kyu
    • The Korean Journal of Applied Statistics
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    • v.27 no.5
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    • pp.743-753
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    • 2014
  • Kim et al. (2006) and Kim et al. (2009) reported a set of explanatory variables affecting donation frequency when they analyzed nationwide survey data on donations collected in 2002 by Volunteer 21, a nonprofit organization in Korea. The primary purpose of this paper is to correct computational errors found in Kim et al. (2006) and Kim et al. (2009), to rectify major results in the Tables and Figures and to supplement Kim et al. (2009) by providing new results. We add two logistic regressions to the ZIP and a mixture of two Poisson regressions of Kim et al. (2009). Through these two logistic regressions we could detect a set of explanatory variables affecting donation activity (0 or 1) and another set of explanatory variables, in which the volunteer (0, 1) variable is common, discriminating the infrequent donor group from the frequent donor group.

Small Area Estimation Using Bayesian Auto Poisson Model with Spatial Statistics (공간통계량을 활용한 베이지안 자기 포아송 모형을 이용한 소지역 통계)

  • Lee, Sang-Eun
    • The Korean Journal of Applied Statistics
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    • v.19 no.3
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    • pp.421-430
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    • 2006
  • In sample survey sample designs are performed by geographically-based domain such as countries, states and metropolitan areas. However mostly statistics of interests are smaller domain than sample designed domain. Then sample sizes are typically small or even zero within the domain of interest. Shin and Lee(2003) mentioned Spatial Autoregressive(SAR) model in small area estimation model-based method and show the effectiveness by MSE. In this study, Bayesian Auto-Poisson Model is applied in model-based small area estimation method and compare the results with SAR model using MSE ME and bias check diagnosis using regression line. In this paper Survey of Disability, Aging and Cares(SDAC) data are used for simulation studies.