• Title/Summary/Keyword: Generalized Logit Model

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A generalized logit model with mixed effects for categorical data (다가자료에 대한 혼합효과모형)

  • Choi, Jae-Sung
    • 한국데이터정보과학회:학술대회논문집
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    • 2001.10a
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    • pp.25-33
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    • 2001
  • This paper suggests a generalized logit model with mixed effects for analysing frequency data in multi-contingency table. In this model nominal response variable is assumed to be polychotomous. When some factors are fixed but condisered as ordinal and others are random, this paper shows how to use baseline-category logits to incoporate the mixed-effects of those factors into the model. A numerical algorithm was used to estimate model parameters by using marginal log-likelihood.

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Bankruptcy Prediction Model with AR process (AR 프로세스를 이용한 도산예측모형)

  • 이군희;지용희
    • Journal of the Korean Operations Research and Management Science Society
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    • v.26 no.1
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    • pp.109-116
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    • 2001
  • The detection of corporate failures is a subject that has been particularly amenable to cross-sectional financial ratio analysis. In most of firms, however, the financial data are available over past years. Because of this, a model utilizing these longitudinal data could provide useful information on the prediction of bankruptcy. To correctly reflect the longitudinal and firm-specific data, the generalized linear model with assuming the first order AR(autoregressive) process is proposed. The method is motivated by the clinical research that several characteristics are measured repeatedly from individual over the time. The model is compared with several other predictive models to evaluate the performance. By using the financial data from manufacturing corporations in the Korea Stock Exchange (KSE) list, we will discuss some experiences learned from the procedure of sampling scheme, variable transformation, imputation, variable selection, and model evaluation. Finally, implications of the model with repeated measurement and future direction of research will be discussed.

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Development of the Prediction Method for Hospital Bankruptcy using a Hierarchical Generalized Linear Model(HGIM) (HGLM을 적용한 병원 도산 예측방법의 개발)

  • Noh, Maeng-Seok;Chang, Hye-Jung;Lee, Young-Jo
    • Korea Journal of Hospital Management
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    • v.6 no.2
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    • pp.22-36
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    • 2001
  • The hospital bankruptcy rate is increasing, therefore it is very important to predict the bankruptcy using the existing hospital management information. The hospital bankruptcy is often measured in year intervals, called grouped duration data, not by the continuous time elapsed to the bankruptcy. This study introduces a hierarchical generalized linear model(HGLM) for analysis of hospital bankruptcy data. The hazard function for each hospital may be influenced by unobservable latent variables, and these unknown variables are usually termed as random effects or frailties which explain correlations among repeated measures of the same hospital and describe individual heterogeneities of hospitals. Practically, the data of twenty bankrupt and sixty profitable hospitals were collected for five years, and were fitted to HGLM. The results were compared with those of the logit model. While the logit model resulted only in the effects of explanatory variables on the bankruptcy status at specific period, the HGLM showed variables with significant effects over all observed years. It is concluded that the HGLM with a fixed ratio and a period of total asset turnrounds was justified, and could find significant within and between hospital variations.

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Bayesian modeling of random effects precision/covariance matrix in cumulative logit random effects models

  • Kim, Jiyeong;Sohn, Insuk;Lee, Keunbaik
    • Communications for Statistical Applications and Methods
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    • v.24 no.1
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    • pp.81-96
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    • 2017
  • Cumulative logit random effects models are typically used to analyze longitudinal ordinal data. The random effects covariance matrix is used in the models to demonstrate both subject-specific and time variations. The covariance matrix may also be homogeneous; however, the structure of the covariance matrix is assumed to be homoscedastic and restricted because the matrix is high-dimensional and should be positive definite. To satisfy these restrictions two Cholesky decomposition methods were proposed in linear (mixed) models for the random effects precision matrix and the random effects covariance matrix, respectively: modified Cholesky and moving average Cholesky decompositions. In this paper, we use these two methods to model the random effects precision matrix and the random effects covariance matrix in cumulative logit random effects models for longitudinal ordinal data. The methods are illustrated by a lung cancer data set.

An Energy Demand Forecasting Model for the Residential and Commercial Sector (민수부문의 에너지원별 수요예측모형)

  • 유병우
    • Journal of the Korean Operations Research and Management Science Society
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    • v.8 no.2
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    • pp.45-56
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    • 1983
  • This paper presents a generalized fuel choice model in which restrictive constraints on cross-price coefficients as Baughman-Joskow-FEA Logit Model need not be imposed, but all demand elasticities are uniquely determined. The model is applied to estimating aggregate energy demand and fuel choices for the residential and commercial sector. The structural equations are estimated by a generalized least squares procedure using national-level EPB, KDI, BK, KRIS, MOER data for 1965 and 1980, and other related reports. The econometric results support the argument that “third-price” and “fourth-price” coefficients should not be constrained in estimating relative market share models. Furthermore, by using this fuel choice model, it has forecasted energy demands by fuel sources in, the residential and commercial sector until 1991. The results are turned out good estimates to compare with existing demands forecasted from other institutes.

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Hurdle Model for Longitudinal Zero-Inflated Count Data Analysis (영과잉 경시적 가산자료 분석을 위한 허들모형)

  • Jin, Iktae;Lee, Keunbaik
    • The Korean Journal of Applied Statistics
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    • v.27 no.6
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    • pp.923-932
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    • 2014
  • The Hurdle model can to analyze zero-inflated count data. This model is a mixed model of the logit model for a binary component and a truncated Poisson model of a truncated count component. We propose a new hurdle model with a general heterogeneous random effects covariance matrix to analyze longitudinal zero-inflated count data using modified Cholesky decomposition. This decomposition factors the random effects covariance matrix into generalized autoregressive parameters and innovation variance. The parameters are modeled using (generalized) linear models and estimated with a Bayesian method. We use these methods to carefully analyze a real dataset.

Goodness-of-Fit Tests for the Ordinal Response Models with Misspecified Links

  • Jeong, Kwang-Mo;Lee, Hyun-Yung
    • Communications for Statistical Applications and Methods
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    • v.16 no.4
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    • pp.697-705
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    • 2009
  • The Pearson chi-squared statistic or the deviance statistic is widely used in assessing the goodness-of-fit of the generalized linear models. But these statistics are not proper in the situation of continuous explanatory variables which results in the sparseness of cell frequencies. We propose a goodness-of-fit test statistic for the cumulative logit models with ordinal responses. We consider the grouping of a dataset based on the ordinal scores obtained by fitting the assumed model. We propose the Pearson chi-squared type test statistic, which is obtained from the cross-classified table formed by the subgroups of ordinal scores and the response categories. Because the limiting distribution of the chi-squared type statistic is intractable we suggest the parametric bootstrap testing procedure to approximate the distribution of the proposed test statistic.

Short-term Glycemic Control and the Related Factors in Association with Compliance in Diabetic Patients (당뇨병 환자의 치료순응도에 따른 단기간 혈당조절정도와 관련 요인)

  • Kim, Gui-Young;Kim, Bo-Wan;Park, Jae-Yong
    • Journal of Preventive Medicine and Public Health
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    • v.33 no.3
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    • pp.349-363
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    • 2000
  • Objectives : Generally, it seemed that the therapeutic result in diabetic patients was changed by compliance. This study was conducted on the basis of assumption that the therapeutic result id diabetic patients could control according to compliance. This study was conducted to analyze the related factors in association with compliance to drug, diet and exercise therapy. Methods : 224 diabetic patients in Kyungpook National University Hospital were selected through the interviews and HbA1c values from 1 Jan. to 28 Feb.1997. The drug compliance was tested by regularity of drug administration, the diet compliance was tested by restriction of food, exactly allocation, balance of nutrient, measuring food and the exercise compliance was tested by regularity of exercise per day. We assessed compliance by percentage, $x^2-test$ and generalized logit regression model(method:enter). Results : The significant variable was the satisfaction to medical personnels in drug, the knowledge to disease in diet, the participation of the diabetic education in exercise therapy and the satisfaction to medical personnels in HbA1c. Using the generalized logit model(method : enter) in compliance change, the significant variables were the satisfaction to medical personnels and the complication in drug; the significant variables were the age at the first diagnosis, the family history, the concern of health, the knowledge of disease, the self-exertion for therapy and the complication in diet: the only significant variable was the gender in exercise therapy. Conclusions : The degree of glycemic control in diabetic patients was influenced by compliance. In order to improve patient's compliance, we must foster the knowledge on the diseases, lead participation for diabetic education. Because the satisfaction to medical personnels was the important variables, we must build up good relationship between doctors and patients.

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Disaggregate Demand Forecasting and Estimation of the Optimal Price for UTIS Service (무선교통정보수집제공시스템(UTIS) 서비스의 이용 수요 예측 및 이용료 적정 수준 산정에 관한 연구)

  • Jang, Seok-Yong;Jung, Hun-Young;Ko, Sang-Seon
    • Journal of Korean Society of Transportation
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    • v.26 no.5
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    • pp.101-115
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    • 2008
  • This study reports UTIS(Urban Traffic Information System), which has been generalized in developed countries through brisk research and development and is being promoted for introduction by National Police Agency and Road Traffic Authority to reduce the astronomical amount of social expenses including traffic congestion expenses. Also this study investigates the proper charges for using by the preestimate of demand and contentment according to methods of payment after the service is introduced. The results of this study are as follows. First, demand forecast model is constructed by Binary Logit Model. Second, forecast models of using aspects of UTIS service according to methods of payment are established by Ordered Probit Model. Third, the proper charges for using of UTIS service according to methods of payment are presented to the supplier in the aspects of users. For this, preferences by using aspects and methods of payment are captured. And unit elasticity of coefficient of utilization is understood through responsiveness analysis according to methods of payment.

The Selection Methodology of Road Network Data for Generalization of Digital Topographic Map (수치지형도 일반화를 위한 도로 네트워크 데이터의 선택 기법 연구)

  • Park, Woo Jin;Lee, Young Min;Yu, Ki Yun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.31 no.3
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    • pp.229-238
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    • 2013
  • Development of methodologies to generate the small scale map from the large scale map using map generalization has huge importance in management of the digital topographic map, such as producing and updating maps. In this study, the selection methodology of map generalization for the road network data in digital topographic map is investigated and evaluated. The existing maps with 1:5,000 and 1:25,000 scales are compared and the criteria for selection of the road network data, which are the number of objects and the relative importance of road network, are analyzed by using the T$\ddot{o}$pfer's radical law and Logit model. The selection model derived from the analysis result is applied to the test data, and the road network data of 1:18,000 and 1:72,000 scales from the digital topographic map of 1:5,000 scale are generated. The generalized results showed that the road objects with relatively high importance are selected appropriately according to the target scale levels after the qualitative and quantitative evaluations.