Browse > Article
http://dx.doi.org/10.5351/KJAS.2008.21.1.169

Three Dimensional CERES Plot in Generalized Linear Models  

Kahng, Myung-Wook (Dept. of Statistics, Sookmyung Women's University)
Kim, Bu-Yong (Dept. of Statistics, Sookmyung Women's University)
Jeon, Jin-Young (Dept. of Statistics, Sookmyung Women's University)
Publication Information
The Korean Journal of Applied Statistics / v.21, no.1, 2008 , pp. 169-176 More about this Journal
Abstract
We explore the structure and usefulness of three dimensional CERES plot as a basic tool for dealing with curvature as a function of the new predictors in generalized linear models. If predictors have nonlinear effects and there are nonlinear relationships among the predictors, the partial residual plot is not able to display the correct functional form of the predictors. Unlike this plots, the CERES plot can show the correct form. This is illustrated by simulated data.
Keywords
Generalized linear model; partial residual plot; CERES plot; LOESS;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Cook, R. D. and Weisberg, S. (1982). Residuals and Influence in Regression, Chapman & Hall/CRC, New York
2 Cook, R. D. and Weisberg, S. (1999). Applied Regression Including Computing and Graphics, John Wiley & Sons, New York
3 Chatterjee, S. and Hadi, A. S. (1988). Sensitivity Analysis in Linear Regression, John Wiley & Sons, New York
4 Mallows, C. L. (1986). Augmented partial residuals, Technometrics, 28, 313-319   DOI   ScienceOn
5 Cook, R. D. (1993). Exploring partial residual plots, Technometrics, 35, 351-362   DOI
6 Kahng, M. and Lee, E. (2004). CERES plot in generalized linear models, The Korean Communications in Statistics, 11, 575-582
7 Kahng, M. and Jeong, H. (2000). CERES plot in nonlinear regression, The Korean Communications in Statistics, 7, 1-11
8 Nelder, J. A. and Wedderburn, R. W. M. (1972). Generalized linear models, Journal of the Royal Statistical Society, Ser. A, 135, 370-384   DOI   ScienceOn
9 Atkinson, A. C. (1985). Plots, Transformations, and Regression: An Introduction to Graphical Methods of Diagnostic Regression Analysis, Oxford University Press, Oxford
10 Ezekiel, M. (1924). A method of handling curvilinear correlation for any number of variables, Journal of the American Statistical Association, 19, 431-453   DOI