• 제목/요약/키워드: Binary logistic regression

검색결과 400건 처리시간 0.03초

기운 일반화 t 분포를 이용한 이진 데이터 회귀 분석 (Binary regression model using skewed generalized t distributions)

  • 김미정
    • 응용통계연구
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    • 제30권5호
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    • pp.775-791
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    • 2017
  • 이진 데이터는 일상 생활에서 자주 접할 수 있는 데이터이다. 이진 데이터를 회귀 분석하는 방법으로 로지스틱(Logistic), 프로빗(Probit), Cauchit, Complementary log-log 모형이 주로 쓰이는데, 이 방법 이외에도 Liu(2004)가 제시한 t 분포를 이용한 로빗(Robit) 모형, Kim 등 (2008)에서 제시한 일반화 t-link 모형을 이용한 방법 등이 있다. 유연한 분포를 이용하면 유연한 회귀 모형이 가능해지는 점에 착안하여, 이 논문에서는 Theodossiou(1998)에서 제시된 기운 일반화 t 분포 (Skewed Generalized t Distribution)의 이용하여 우도 함수를 최대로 하는 이진 데이터 회귀 모형을 소개한다. 기운 일반화 t 분포를 R glm 함수, R sgt 패키지를 연결하여 이 논문에서 제시한 방법을 R로 분석할 수 있는 방법을 소개하고, 피마 인디언(Pima Indian) 데이터를 분석한다.

A study on log-density ratio in logistic regression model for binary data

  • Kahng, Myung-Wook
    • Journal of the Korean Data and Information Science Society
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    • 제22권1호
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    • pp.107-113
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    • 2011
  • We present methods for studying the log-density ratio, which allow us to select which predictors are needed, and how they should be included in the logistic regression model. Under multivariate normal distributional assumptions, we investigate the form of the log-density ratio as a function of many predictors. The linear, quadratic and crossproduct terms are required in general. If two covariance matrices are equal, then the crossproduct and quadratic terms are not needed. If the variables are uncorrelated, we do not need the crossproduct terms, but we still need the linear and quadratic terms.

Logistic Regression Classification by Principal Component Selection

  • Kim, Kiho;Lee, Seokho
    • Communications for Statistical Applications and Methods
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    • 제21권1호
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    • pp.61-68
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    • 2014
  • We propose binary classification methods by modifying logistic regression classification. We use variable selection procedures instead of original variables to select the principal components. We describe the resulting classifiers and discuss their properties. The performance of our proposals are illustrated numerically and compared with other existing classification methods using synthetic and real datasets.

희귀 사건 로지스틱 회귀분석을 위한 편의 수정 방법 비교 연구 (Comparison of Bias Correction Methods for the Rare Event Logistic Regression)

  • 김형우;고태석;박노욱;이우주
    • 응용통계연구
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    • 제27권2호
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    • pp.277-290
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    • 2014
  • 본 연구에서는 로지스틱 회귀 모형을 이용하여 보은 지방의 산사태 자료를 분석하였다. 5000 지역의 관측치 가운데 단 9개만이 산사태 발생 지역이므로 이 자료는 희귀 사건 자료로 간주될 수 있다. 로지스틱 회귀 분석 모형이 희귀사건 자료에 적용될 때 주요 이슈는 회귀 계수 추정치에 심각한 편의 문제가 생길 수 있다는 것이다. 기존에 두 가지의 편의 수정 방법이 제안되었는데, 본 논문에서는 시뮬레이션을 통해 정량적으로 비교 연구를 진행하였다. Firth(1993)의 방식이 다른 방법에 비해 우수한 성능을 보였으며, 이항 희귀 사건을 분석하는 데 있어서 매우 안정된 결과를 보여주었다.

사례기반추론을 이용한 다이렉트 마케팅의 고객반응예측모형의 통합

  • 홍태호;박지영
    • 한국정보시스템학회지:정보시스템연구
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    • 제18권3호
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    • pp.375-399
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    • 2009
  • In this study, we propose a integrated model of logistic regression, artificial neural networks, support vector machines(SVM), with case-based reasoning(CBR). To predict respondents in the direct marketing is the binary classification problem as like bankruptcy prediction, IDS, churn management and so on. To solve the binary problems, we employed logistic regression, artificial neural networks, SVM. and CBR. CBR is a problem-solving technique and shows significant promise for improving the effectiveness of complex and unstructured decision making, and we can obtain excellent results through CBR in this study. Experimental results show that the classification accuracy of integration model using CBR is superior to logistic regression, artificial neural networks and SVM. When we apply the customer response model to predict respondents in the direct marketing, we have to consider from the view point of profit/cost about the misclassification.

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Fuzzy c-Logistic Regression Model in the Presence of Noise Cluster

  • Alanzado, Arnold C.;Miyamoto, Sadaaki
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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    • pp.431-434
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    • 2003
  • In this paper we introduce a modified objective function for fuzzy c-means clustering with logistic regression model in the presence of noise cluster. The logistic regression model is commonly used to describe the effect of one or several explanatory variables on a binary response variable. In real application there is very often no sharp boundary between clusters so that fuzzy clustering is often better suited for the data.

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Logistic regression model for major separation rate

  • 최재성
    • Journal of the Korean Data and Information Science Society
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    • 제13권2호
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    • pp.129-138
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    • 2002
  • This paper deals with logistic regression models for analysing separation rates from majors. The model building procedure shows how to incoporate the effects of some factors causing from three-way nested sampling scheme and discusses what type of characteristics as independent variables directly affecting the rates should be considered.

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전자부품 검사에서 대용특성을 이용한 사례연구 (A Case Study on Electronic Part Inspection Based on Screening Variables)

  • 이종설;윤원영
    • 품질경영학회지
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    • 제29권3호
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    • pp.124-137
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    • 2001
  • In general, it is very efficient and effective to use screening variables that are correlated with the performance variable in case that measuring the performance variable is impossible (destructive) or expensive. The general methodology for searching surrogate variables is regression analysis. This paper considers the inspection problem in CRT (Cathode Ray Tube) production line, in which the performance variable (dependent variable) is binary type and screening variables are continuous. The general regression with dummy variable, discriminant analysis and binary logistic regression are considered. The cost model is also formulated to determine economically inspection procedure with screening variables.

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Geographically weighted kernel logistic regression for small area proportion estimation

  • Shim, Jooyong;Hwang, Changha
    • Journal of the Korean Data and Information Science Society
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    • 제27권2호
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    • pp.531-538
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    • 2016
  • In this paper we deal with the small area estimation for the case that the response variables take binary values. The mixed effects models have been extensively studied for the small area estimation, which treats the spatial effects as random effects. However, when the spatial information of each area is given specifically as coordinates it is popular to use the geographically weighted logistic regression to incorporate the spatial information by assuming that the regression parameters vary spatially across areas. In this paper, relaxing the linearity assumption and propose a geographically weighted kernel logistic regression for estimating small area proportions by using basic principle of kernel machine. Numerical studies have been carried out to compare the performance of proposed method with other methods in estimating small area proportion.

A Bayesian Method for Narrowing the Scope fo Variable Selection in Binary Response t-Link Regression

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • 제29권4호
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    • pp.407-422
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    • 2000
  • This article is concerned with the selecting predictor variables to be included in building a class of binary response t-link regression models where both probit and logistic regression models can e approximately taken as members of the class. It is based on a modification of the stochastic search variable selection method(SSVS), intended to propose and develop a Bayesian procedure that used probabilistic considerations for selecting promising subsets of predictor variables. The procedure reformulates the binary response t-link regression setup in a hierarchical truncated normal mixture model by introducing a set of hyperparameters that will be used to identify subset choices. In this setup, the most promising subset of predictors can be identified as that with highest posterior probability in the marginal posterior distribution of the hyperparameters. To highlight the merit of the procedure, an illustrative numerical example is given.

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