Communications for Statistical Applications and Methods

  • 제14권2호
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  • Pages.281-286
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  • 2007
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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Influence Analysis of Constrained Regression Models

  • 발행 : 2007.08.31
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초록

Cook's distance is generalized to the multiple linear regression with linear constraints on regression coefficients. It is used for identifying influential observations in constrained regression models. A numerical example is provided for illustration.

키워드

참고문헌

  1. Barnett, V. and Lewis, T. (1994). Outliers in Statistical Data. 3rd ed., John Wiley & Sons, New York
  2. Chatterjee, S. and Hadi, A. S. (1986). Influential observations, high leverage points, and outliers in linear regression (with discussions). Statistical Science, 1, 379-416 https://doi.org/10.1214/ss/1177013622
  3. 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
  4. Cook, R. D. (1977). Detection of influential observations in linear regression. Technometrics, 19, 15-18 https://doi.org/10.2307/1268249
  5. Cook, R. D. and Weisberg, S. (1982). Residuals and Influence in Regression. Chapman & Hall, New York
  6. Kim, M. G. (2003). Detection of outliers in constrained regression. The Korean Communications in Statistics, 10, 519-524 https://doi.org/10.5351/CKSS.2003.10.2.519
  7. Lee, S. -Y. and Wang, S. J. (1996). Sensitivity analysis of structural equation models. Psychomeirika, 61, 93-108 https://doi.org/10.1007/BF02296960
  8. Neter, J., Kutner, M. H., Nachtsheim, C. J. and Wasserman, W. (1996). Applied Linear Regression Models. 3rd ed., McGraw-Hill/Irwin
  9. Paula, G. A. (1993). Assessing local influence in restricted regression models. Computational Statistics & Data Analysis, 16, 63-79 https://doi.org/10.1016/0167-9473(93)90245-O
  10. Paula, G. A. (1999). Leverage in inequality-constrained regression models. The Statistician, 48, 529-538
  11. Schott, J. R. (1997). Matrix Analysis for statistics. John Wiley & Sons, New York
  12. Seber, G. A. F. (1977). Linear Regression Analysis. John Wiley & Sons, New York

피인용 문헌

  1. Influence diagnostics in constrained general linear models vol.45, pp.18, 2016, https://doi.org/10.1080/03610926.2014.942430