• 제목/요약/키워드: Residual plot

검색결과 75건 처리시간 0.027초

로지스틱회귀에서 잔차산점도를 이용한 모형평가 (Model assessment with residual plot in logistic regression)

  • 강명욱
    • Journal of the Korean Data and Information Science Society
    • /
    • 제26권1호
    • /
    • pp.141-150
    • /
    • 2015
  • 로지스틱회귀에서 모형을 평가하거나 진단할 때 가설검정이 주로 사용되지만 이것만으로는 놓칠 수 있는 부분이 많고 이에 대한 보완을 위하여 그래픽적 방법의 사용이 요구된다. 그래프를 이용한 모형의 적절성 평가를 위한 도구로 잔차산점도가 널리 이용되고 있으나 적용 범위가 선형회귀에 국한되는 문제점이 있다. 해결 방안으로 주변모형산점도를 이용하여 모형의 적절성을 평가하는 방법이 있으나 역시 문제점을 가지고 있다. 본 논문에서는 주변모형산점도의 대안으로 카이잔차산점도를 제안하고 그 효용성을 알아본다.

Exploring Interaction in Generalized Linear Models

  • Kahng, Myung-Wook
    • Journal of the Korean Data and Information Science Society
    • /
    • 제16권1호
    • /
    • pp.13-18
    • /
    • 2005
  • We explore the structure and usefulness of the 3-D residual plot as a basic tool for dealing with interaction in generalized linear models. If predictors have an interaction effect, the shape obtained by rotating the 3-D residual plot will show its presence. To illustrate the use of this plot as an aid to exploring the interaction, we present an example of a binomial regression model using simulated data.

  • PDF

CERES Plot in Nonlinear Regression

  • Myung-Wook;Hye-Wook
    • Communications for Statistical Applications and Methods
    • /
    • 제7권1호
    • /
    • pp.1-12
    • /
    • 2000
  • We explore the structure and usefulness of CERES plot as a basic tool for dealing with curvature as a function of the new predictor in nonlinear regression. If a predictor has a nonlinear effect and there are nonlinear relationships among the predictors the partial residual plot and augmented partial residual plot are not able to display the correct functional form of the predictor. Unlike these plots the CERES plot can show the correct from. In situations where nonlinearity exists in two predictors we extend the idea of CERES plot to three dimensions, This is illustrated by simulated data.

  • PDF

CERES Plot in Generalized Linear Models

  • Kahng, Myung-Wook;Lee, Eun Jeong
    • Communications for Statistical Applications and Methods
    • /
    • 제11권3호
    • /
    • pp.575-582
    • /
    • 2004
  • We explore the structure and usefulness of CERES plot as a basic tool for dealing with curvature as a function of the new predictor in generalized linear models. If a predictor has a nonlinear effect and there are nonlinear relationships among the predictors, the partial residual plot and augmented partial residual plot are not able to display the correct functional form of the predictor. Unlike these plots, the CERES plot can show the correct form. This is illustrated by simulated data.

A Combining Dynamic Graph of Added Variable Plot and Component plus Residual Plot

  • Park, Chong-sun
    • Communications for Statistical Applications and Methods
    • /
    • 제4권1호
    • /
    • pp.119-128
    • /
    • 1997
  • Added variable plot and component-plus-residual plot are very useful for studying the role of a predictor in classical regression analysis. The former is usually used to check the effect of adding a new variable to existing model. The latter has been suggested as computationally convenient substitutes for the added variable plots, however, this plot is found to be better in detecting nonlinear relationships of a new predictor. By combining these two plots dynamically, we can take advantages of two plots simultaneously. And even further, we can get some knowledge of collinearity between a new predictor and predictors already in the model, and more accurate information about the possible outliers.

  • PDF

Dynamic Residual Plots for Linear Combinations of Explanatory Variables

  • Son, Seo-Han
    • Communications for Statistical Applications and Methods
    • /
    • 제11권3호
    • /
    • pp.529-537
    • /
    • 2004
  • This article concerns dynamic graphical methods for visualizing a curvature in regression problem in which some predictors enter nonlinearly. A sequence of augmented partial residual plot or partial residual plot updated by the change of linear combination of two predictors are constructed. Examples demonstrate that the suggested methods can be used to reduce the dimension of explanatory variables as well as to capture a curvature.

Two Diagnostic Plots in Constrained Regression

  • Kim, Myung-Geun
    • Communications for Statistical Applications and Methods
    • /
    • 제16권3호
    • /
    • pp.495-500
    • /
    • 2009
  • Two diagnostic plots, added variable plot and partial residual plot, are proposed when a new explanatory variable is linearly added to constrained regressions. They are useful for investigating the effect of adding an explanatory variable to the constrained regression. They visually give an overall impression of the strength of linear relationship between response variable and added variable. A numerical example is provided for illustration.

일반화선형모형에서의 3차원 CERES그림 (Three Dimensional CERES Plot in Generalized Linear Models)

  • 강명욱;김부용;전진영
    • 응용통계연구
    • /
    • 제21권1호
    • /
    • pp.169-176
    • /
    • 2008
  • 일반화선형모형 에서 추가되는 설명 변수의 비선형성의 존재와 형태를 파악하는데 사용되는 3차원 CBRBS그림의 구조와 유용성에 대해 알아본다. CBRBS그림은 설명변수들 사이에 비선형의 관계가 존재하는 경우 편잔차그림으로는 알아낼 수 없는 비선형성에 대한 탐지가 가능하다. 이를 생성된 자료를 이용하여 확인해 본다.

Diagnostics of partial regression and partial residual plots

  • Lee, Jea-Young;Choi, Suk-Hwa
    • Journal of the Korean Data and Information Science Society
    • /
    • 제11권1호
    • /
    • pp.73-81
    • /
    • 2000
  • The variance inflation factor can be expressed by the square of the ratio of t-statistics associated with slopes of partial regression and partial residual plots. Disagreement of two sides in the interpretation can be occurred, and we analyze it with some illustrations.

  • PDF

Three Dimensional Dynamic Added Variable Plots

  • Seo, Han-Son
    • Communications for Statistical Applications and Methods
    • /
    • 제11권2호
    • /
    • pp.345-353
    • /
    • 2004
  • Graphical methods for the specification of the curvature as a function of two predictors are animated to see the effect of an added variable to the model. Through a 3D animated plot it might be difficult to find a sequence of interpretable plots. But examples demonstrate that useful information can be obtained by using rotation technique in 3D plot. Besides 3D plots, an example of 2D animated plot applied to the case of high correlation between predictors and an added predictor is also given. It implies that speed of the convergence to a certain image in a dynamic plot may be understood as an influence of collinearity.