• Title/Summary/Keyword: binomial data

Search Result 342, Processing Time 0.023 seconds

Binomial Sampling Plan for Estimating Tetranuchus urticae(Acari: Tetranychidae)Populations in Glasshouse Rose Grown by Arching Method (아치형 재배 시설장미에서 점박이응애의 이항표본조사법 개발)

  • 조기종;박정준;박흥선;김용헌
    • Korean journal of applied entomology
    • /
    • v.37 no.2
    • /
    • pp.151-157
    • /
    • 1998
  • Infestations of two spotted spider mite (TSSM), Tetranychus urticae Koch, on glasshouse rose (Rosa sp.) grown by an arching method, were determined by counts of the number of TSSM per leaflet in Buyeo, Chungnam Province, for a 2-yr period. Binomial sampling plans were developed based on the relationship between mean density per leaflet (m), and proportion of leaflets infested with ( T mites (PT), according to the empirical model In (m) = a+p In (-ln (1 -PT)). T was defined as tally threshold, and set to 1, 3, 5, 7, and 9 mites per leaflet. Increasing sample size had little effects on the precision of the binomial sampling plan, regardless of tally threshold. However, the precision increased with higher tally thresholds. There was a negligible improvement in precision with T ) 7 mites per leaflet. T= 7 was chosen as the best tally threshold for estimating densities of TSSM based on the precision of the model. Independent data set was used to evaluate the model. The binomial model with T= 7 provided reliable predictions of mean densities of TSSM observed on the commercial glasshouse roses.

  • PDF

Accident Models of Rotary by Vehicle Type (차량유형별 로터리 사고모형)

  • Han, Su-San;Park, Byeong-Ho
    • Journal of Korean Society of Transportation
    • /
    • v.29 no.6
    • /
    • pp.67-74
    • /
    • 2011
  • This study deals with the traffic accidents data from the Korean rotaries (circular intersections) to verify their characteristics affected by different vehicle types. This paper categorized the data into three groups based on vehicle types, and developed a set of accident models. The paper proposed two ZIP models and one negative binomial model through a statistical analysis for three vehicle types: automobile, truck and van, and others. The differences among those models were then statistically compared.

Developing the Pedestrian Accident Models of Intersections using Tobit Model (토빗모형을 이용한 교차로 보행자 사고모형 개발)

  • Lee, Seung Ju;Lim, Jin Kang;Park, Byung Ho
    • Journal of the Korean Society of Safety
    • /
    • v.29 no.5
    • /
    • pp.154-159
    • /
    • 2014
  • This study deals with the pedestrian accidents of intersections in case of Cheongju. The objective is to develop the pedestrian accident models using Tobit regression model. In pursuing the above, the pedestrian accident data from 2007 to 2011 were collected from TAAS data set of Road Traffic Authority. To analyze the accident, Poisson, negative binomial and Tobit regression models were utilized in this study. The dependent variable were the number of accident by intersection. Independent variables are traffic volume, intersection geometric structure and the transportation facility. The main results were as follows. First, Tobit model was judged to be more appropriate model than other models. Also, these models were analyzed to be statistically significant. Second, such the main variables related to accidents as traffic volume, pedestrian volume, number of traffic island, crossing length and the pedestrian countdown signal systems were adopted in the above model.

Development of Roundabout Accident Models by Region (지역별 회전교차로 사고모형 개발 및 논의)

  • Son, Seul Ki;Park, Byung Ho
    • International Journal of Highway Engineering
    • /
    • v.20 no.2
    • /
    • pp.67-74
    • /
    • 2018
  • PURPOSES : The goal of this study is the development of roundabout accident models for urban and non-urban areas. METHODS : This study performed a comparative analysis of the regional factors affecting accidents. Traffic accident data were collected for the period 2010~2014 from the TAAS data set of the Road Traffic Authority. To develop the roundabout accident models, the Poisson and negative binomial regression models were used. A total of 25 explanatory variables such as geometry, and traffic volume were used. RESULTS : The key findings are as follows: First, it was found that the null hypotheses that the number of accidents is the same should be rejected. Second, three Poisson regression accident models, which are statistically significant (${\rho}^2$ of 0.154 and 0.385) were developed. Third, it was noted that although the common variable of the three models (models I~III) is the number of entry lanes, the specific variables are entry lane width, roundabout sign, number of circulatory roadways, splitter island, number of exit lanes, exit lane width, number of approach roads, and truck apron. CONCLUSIONS : The results of this study can provide suggestive countermeasures for decreasing the number of roundabout accidents.

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
    • /
    • v.26 no.5
    • /
    • pp.153-162
    • /
    • 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.

Comparative Study of Model Selection Using Bayes Factor through Simulation : Poisson vs. Negative Binomial Model Selection and Normal, Double Exponential vs. Cauchy Model Selection (시뮬레이션을 통한 베이즈요인에 의한 모형선택의 비교연구 : 포아송, 음이항모형의 선택과 정규, 이중지수, 코쉬모형의 선택)

  • 오미라;윤소영;심정욱;손영숙
    • The Korean Journal of Applied Statistics
    • /
    • v.16 no.2
    • /
    • pp.335-349
    • /
    • 2003
  • In this paper, we use Bayesian method for model selection of poisson vs. negative binomial distribution, and normal, double exponential vs. cauchy distribution. The fractional Bayes factor of O'Hagan (1995) was applied to Bayesian model selection under the assumption of noninformative improper priors for all parameters in the models. Through the analyses of real data and simulation data, we examine the usefulness of the fractional Bayes factor in comparison with intrinsic Bayes factors of Berger and Pericchi (1996, 1998).

On Prediction Intervals for Binomial Data (이항자료에 대한 예측구간)

  • Ryu, Jea-Bok
    • The Korean Journal of Applied Statistics
    • /
    • v.26 no.6
    • /
    • pp.943-952
    • /
    • 2013
  • Wald, Agresti-Coull, Jeffreys, and Bayes-Laplace methods are commonly used for confidence interval of binomial proportion are applied for prediction intervals. We used coverage probability, mean coverage probability, root mean squared error, and mean expected width for numerical comparisons. From the comparisons, we found that Wald is not proper as for confidence interval and Agresti-Coull is too conservative to differ from confidence interval. However, Jeffrey and Bayes-Laplace are good for prediction interval and Jeffrey is especially desirable as for confidence interval.

On the actual coverage probability of hypergeometric parameter (초기하분포의 모수에 대한 신뢰구간추정)

  • Kim, Dae-Hak
    • Journal of the Korean Data and Information Science Society
    • /
    • v.21 no.6
    • /
    • pp.1109-1115
    • /
    • 2010
  • In this paper, exact confidence interval of hyper-geometric parameter, that is the probability of success p in the population is discussed. Usually, binomial distribution is a well known discrete distribution with abundant usage. Hypergeometric distribution frequently replaces a binomial distribution when it is desirable to make allowance for the finiteness of the population size. For example, an application of the hypergeometric distribution arises in describing a probability model for the number of children attacked by an infectious disease, when a fixed number of them are exposed to it. Exact confidence interval estimation of hypergeometric parameter is reviewed. We consider the performance of exact confidence interval estimates of hypergeometric parameter in terms of actual coverage probability by small sample Monte Carlo simulation.

On prediction intervals for binomial data (이항자료에 대한 예측구간)

  • Ryu, Jea-Bok
    • The Korean Journal of Applied Statistics
    • /
    • v.34 no.4
    • /
    • pp.579-588
    • /
    • 2021
  • Wald, Agresti-Coull, Jeffreys, and Bayes-Laplace methods are commonly used for confidence interval of binomial proportion are applied for prediction intervals. We used coverage probability, mean coverage probability, root mean squared error, and mean expected width for numerical comparisons. From the comparisons, we found that Wald is not proper as for confidence interval and Agresti-Coull is too conservative to differ from confidence interval. However, Jeffrey and Bayes-Laplace are good for prediction interval and Jeffrey is especially desirable as for confidence interval.

Resumption of School Face-to-Face Classes and Analysis of Secondary Infected Persons in COVID 19 : Applying the Monte-Carlo Method (학교 대면 수업 재개와 2차 감염자 분석 : 몬테카를로 기법 적용을 중심으로)

  • Cho, Sang-Sup;Chae, Dong-Woo;Lim, Seung-Joo
    • Journal of Information Technology Applications and Management
    • /
    • v.28 no.1
    • /
    • pp.33-41
    • /
    • 2021
  • In this study, we estimated the number of secondary COVID-19 infections caused by students with potential transmission potential home. When the existing Monte Carlo method was applied to Korean data, the average number of household members of the second COVID-19 infected was predicted. The summary of this study is as follows. First, in general, the number of secondary infections by students returning home from school is greatly influenced by the virus infection rate of each student group they contact while returning home from school. Korea-based empirical research on this is needed. Second, the number of secondary infections by Korean students was relatively lower than that of previous studies. This can be interpreted as being due to the domestic furniture structure. Third, unlike previous studies that assumed the distribution of secondary infected individuals as normal distribution, assuming a negative binomial distribution, the number of secondary infected individuals was sensitively changed according to the estimated parameters. Interpretation of this result shows that the number of secondary infections may vary depending on the time of decision making, the target region, and the target student group. Finally, according to the results of this analysis, a proposal was made to support education policy decisions.