Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Two Diagnostic Plots in Constrained Regression

  • Published : 2009.05.31
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Abstract

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.

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References

  1. Chipman, J. S. and Rao, M. M. (1964). The treatment of linear restrictions in regression analysis, Econometrica, 32, 198-209 https://doi.org/10.2307/1913745
  2. Cook, R. D. and Weisberg, S. (1994). An introduction to Regression Graphics, John Wiley & Sons, New York
  3. Ezekiel, M. (1924). A method for handling curvilinear correlation for any number of variables, Jour-nal of the American Statistical Association, 19, 431-453 https://doi.org/10.2307/2281561
  4. Larsen, W. A. and McCleary, S. J. (1972). The use of partial residual plots in regression analysis, Technometrics, 14, 781-790 https://doi.org/10.2307/1267305
  5. Mosteller, F. and Tukey, J. W. (1977). Data Analysis and Regression, Reading: Addison-Wesley
  6. Neter, J., Kutner, M. H., Nachtsheim, C. J. and Wasserman, W. (1996). Applied Linear Regression Models, 3rd ed., Irwin
  7. Seber, G. A. F. (1977), Linear Regression Analysis, John Wiley & Sons, New York
  8. Wood, F. S. (1973), The use of individual effects and residuals in fitting equations to data, Technometrics, 15, 677-695 https://doi.org/10.2307/1267381