• Title/Summary/Keyword: Tobit

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Unbiasedness or Statistical Efficiency: Comparison between One-stage Tobit of MLE and Two-step Tobit of OLS

  • Park, Sun-Young
    • International Journal of Human Ecology
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    • v.4 no.2
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    • pp.77-87
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    • 2003
  • This paper tried to construct statistical and econometric models on the basis of economic theory in order to discuss the issue of statistical efficiency and unbiasedness including the sample selection bias correcting problem. Comparative analytical tool were one stage Tobit of Maximum Likelihood estimation and Heckman's two-step Tobit of Ordinary Least Squares. The results showed that the adequacy of model for the analysis on demand and choice, we believe that there is no big difference in explanatory variables between the first selection model and the second linear probability model. Since the Lambda, the self- selectivity correction factor, in the Type II Tobit is not statistically significant, there is no self-selectivity in the Type II Tobit model, indicating that Type I Tobit model would give us better explanation in the demand for and choice which is less complicated statistical method rather than type II model.

Comprehension and application of Tobit and Heckit models for censored data (절단자료에 대한 Tobit과 Heckit 모형의 이해와 활용)

  • Kim, Jeonghwan;Jang, Mina;Cho, Hyungjun
    • The Korean Journal of Applied Statistics
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    • v.35 no.3
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    • pp.357-370
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    • 2022
  • In this paper, Tobit and Heckit models are introduced. These models have been used for analyzing censored data. Censoring occurs at a specific point and a large number of observations are distributed with a positive probability at a certain point. Censoring can occur due to observing limitation or exogenous variables. Tobit and Heckit models are used to correct sample selection bias, which can occur when an ordinary linear regression model is fitted to censored data. However, the difference between the two models is not clearly accounted for; hence, they have often been used interchangeably. Therefore, the suitability of the models was validated through simulated data, and demonstrated through real data. As the result, it was confirmed that both Tobit and Heckit models are well-fitted to the data censored due to observing limitation, although Tobit model was fitted parsimoniously. In contrast, only Heckit model is well-fitted to the data censored due to exogenous variables.

An Analysis on Vehicle Accident Factors of Intersections using Random Effects Tobit Regression Model (Random Effects Tobit 회귀모형을 이용한 교차로 교통사고 요인 분석)

  • Lee, Sang Hyuk;Lee, Jung-Beom
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.16 no.1
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    • pp.26-37
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    • 2017
  • The study is to develop safety performance functions(SPFs) for urban intersections using random effects Tobit regression model and to analyze correlations between crashes and factors. Also fixed effects Tobit regression model was estimated to compare and analyze model validation with random effects model. As a result, AADT, speed limits, number of lanes, land usage, exclusive right turn lanes and front traffic signal were found to be significant. For comparing statistical significance between random and fixed effects model, random effects Tobit regression model of total crash rate could be better statistical significance with $R^2_p$ : 0.418, log-likelihood at convergence: -3210.103, ${\rho}^2$: 0.056, MAD: 19.533, MAPE: 75.725, RMSE: 26.886 comparing with $R^2_p$ : 0.298, log-likelihood at convergence: -3276.138, ${\rho}^2$: 0.037, MAD: 20.725, MAPE: 82.473, RMSE: 27.267 for the fixed model. Also random effects Tobit regression model of injury crash rate has similar results of model statistical significant with random effects Tobit regression model.

A New Interpretation Approach using Tobit Analysis : Simulations based on Type I Tobit of Amemiya - Focused on Childcare Services -

  • Park, Sun-Young
    • Journal of Families and Better Life
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    • v.19 no.6
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    • pp.145-155
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    • 2001
  • The purposes of this study were first to construct statistical and econometric models based on Amemiya\`s Type I Tobit mainly addressing the issue of statistical efficiency; second to explore income, price, and curvilinear age effects on the explained variable in order to illustrates its statistical marginal effects related to econometric issues; finally to provide invaluable insight for graphical simulations as a new interpretation approach using Tobit analysis. Results indicated that interpretation for the mean marginal effects of three possible cases of dependent variable was more likely to be evident to understand Tobit results compared to conventional analysis only using latent variable, beta. Results also revealed that prediction value of dependent variable can be possibly and easily projected by the independent variable changed whereas only beta value can not illustrate its projection as independent variables'changes.

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The Estimation of Domestic Construction Technology Full-Text Services using Tobit Model (Tobit 모형을 이용한 국내 건설기술 원문서비스 가치 추정)

  • Jeong, Seong-Yun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.6
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    • pp.656-662
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    • 2016
  • We have provided a variety of domestic construction technology related full-text services through the Construction Technology Digital Library system since 2001. CODIL is a system that services the database related to construction technology data. On the other hand, there is growing demand for DB every year, but the required budget is shrinking. Therefore, this study investigated the satisfaction to effectively service the construction technique-related full-text with a limited budget. The monetary value of full-text to express satisfaction with the quantified value was estimated using the Tobit model. The Tobit model is used as a contingent valuation method to estimate the value of non-market goods. This model is the limited dependent variable regression model to observations by censoring the limit of the left side or right side so that a biased outlier is not reflected in the willingness to pay. A survey was conducted by sampling 312 respondents. The mean, median, truncating the willingness of payment were calculated for the six types of the full-text services using the Tobit model. The statistically significant variables affecting the willingness to pay for the full-text services were identified. The mean value of per the full-text service was estimated to be 46,530 won. The significance of this study was to use the Tobit model to estimate the value of the construction technology-related full-text services for the first time in Korea.

The Efficiency Determinants to Port Cargo Equipment on Container Terminals to DEA & Tobit Model (DEA와 Tobit 모형에 따른 컨테이너 터미널의 하역장비 효율성 결정요인)

  • Park, Hong-Gyun
    • Journal of Korea Port Economic Association
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    • v.26 no.3
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    • pp.1-17
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    • 2010
  • This paper focuses on measuring the efficiency of container yards in container terminals in Busan and Gwangyang using Data Envelopment Analysis (DEA) approach. It analyses the relative efficiency of 11 container terminals based on the data for the period between 2006 and 2009 to offer a fresh perspective. The applied framework assumes inputs to be container cranes, transtainer cranes and yard tractors and output as container transshipment volume. Through the analysis, the differences between the impact of using of container cranes, transtainer cranes and yard tractors, top handler & reach stacker on container yard efficiency are measured. Moreover, the associations between the three input factors are analyzed as well. This paper also employs heteroscedastic Tobit model to show the impact of explanatory variables on container yard efficiencies. I took into consideration the strategies for operation of container cranes, transtainer cranes and yard tractors in container yard.

Developing the Pedestrian Accident Models Using Tobit Model (토빗모형을 이용한 가로구간 보행자 사고모형 개발)

  • Lee, Seung Ju;Kim, Yun Hwan;Park, Byung Ho
    • International Journal of Highway Engineering
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    • v.16 no.3
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    • pp.101-107
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    • 2014
  • PURPOSES : This study deals with the pedestrian accidents in case of Cheongju. The goals are to develop the pedestrian accident model. METHODS : To analyze the accident, count data models, truncated count data models and Tobit regression models are utilized in this study. The dependent variable is the number of accident. Independent variables are traffic volume, intersection geometric structure and the transportation facility. RESULTS : The main results are 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 Entry/exit, number of crosswalk and bus stop were adopted in the above model. CONCLUSIONS : The optimal model for pedestrian accidents is evaluated to be Tobit model.

Analyzing the Influence Factors on Efficiency in Open R&D by Tobit Model (Tobit 모형을 활용한 개방형 R&D 효율성 영향요인 분석)

  • Min, Hyun-Ku
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.43 no.3
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    • pp.87-94
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    • 2020
  • In this study, the factors affecting the efficiency of 48 projects of private R&D institutes were analyzed using the Tobit model. Influencing factors were selected as open R&D network size, IT industry, interaction between R&D network size and IT industry, and type of R&D network cooperation. As a result of Tobit analysis, the R&D network size, the IT industry, and the type of R&D network cooperation were found to be significant. The larger the open R&D network size, the lower the efficiency, and the IT industry showed lower R&D efficiency than other industries. In addition, cooperation with universities and research institutes showed lower R&D efficiency than cooperation with companies. As a result of these studies, companies will be able to select and focus on cooperation with the outside in relations and investment allocation.

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
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    • v.29 no.5
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    • pp.154-159
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    • 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.

Analysis of Accident Factors at Arterial Roads Using Tobit Model (Tobit 모형을 이용한 간선도로 사고 요인 분석)

  • Kim, Kyung Hwan;Park, Byung Ho
    • International Journal of Highway Engineering
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    • v.15 no.2
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    • pp.131-138
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    • 2013
  • PURPOSES : The intents of the study are to identify the accident factors and to demonstrate the potentials of tobit model as a tool to study the number of accidents on arterial roads segments. METHODS : This paper uses a tobit regression as a methodology to analyze the factors affecting the number of accidents. In pursuing the above goal, this study gives particular attentions to analyzing the data of 2,446 accidents (1,610 in major arterial roads and 836 in minor arterial roads) occurred on arterial roads in 2007 to 2010. RESULTS : First, 3 accident models which were classified by total arterial roads, major arterial roads and minor arterial roads, and were all statistically significant were developed. Second, the exclusive right-turn lane as common variable, and the number of accident, traffic volume, number of lanes, link length, rate of median, number of entrances, number of pedestrian crossings, number of curves, number of bus stops and exclusive left-turn as specific variables of the models were selected. Finally, the paired sample t-test could not be rejected the null hypotheses of three types of models. CONCLUSIONS : Using data from vehicle accidents on arterial roads, the estimation results show that many factors related to roadway geometrics and traffic characteristics significantly affect to the number of accidents.