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http://dx.doi.org/10.5351/CKSS.2007.14.2.281

Influence Analysis of Constrained Regression Models  

Kim, Myung-Geun (Department of Applied Statistics, Seowon University)
Publication Information
Communications for Statistical Applications and Methods / v.14, no.2, 2007 , pp. 281-286 More about this Journal
Abstract
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.
Keywords
Constrained regression; Cook's distance; influence;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Lee, S. -Y. and Wang, S. J. (1996). Sensitivity analysis of structural equation models. Psychomeirika, 61, 93-108   DOI
2 Neter, J., Kutner, M. H., Nachtsheim, C. J. and Wasserman, W. (1996). Applied Linear Regression Models. 3rd ed., McGraw-Hill/Irwin
3 Paula, G. A. (1993). Assessing local influence in restricted regression models. Computational Statistics & Data Analysis, 16, 63-79   DOI   ScienceOn
4 Paula, G. A. (1999). Leverage in inequality-constrained regression models. The Statistician, 48, 529-538
5 Schott, J. R. (1997). Matrix Analysis for statistics. John Wiley & Sons, New York
6 Seber, G. A. F. (1977). Linear Regression Analysis. John Wiley & Sons, New York
7 Cook, R. D. (1977). Detection of influential observations in linear regression. Technometrics, 19, 15-18   DOI   ScienceOn
8 Chipman, J. S. and Rao, M. M. (1964). The treatment of linear restrictions in regression analysis. Econometrica, 32, 198-209   DOI   ScienceOn
9 Barnett, V. and Lewis, T. (1994). Outliers in Statistical Data. 3rd ed., John Wiley & Sons, New York
10 Chatterjee, S. and Hadi, A. S. (1986). Influential observations, high leverage points, and outliers in linear regression (with discussions). Statistical Science, 1, 379-416   DOI
11 Cook, R. D. and Weisberg, S. (1982). Residuals and Influence in Regression. Chapman & Hall, New York
12 Kim, M. G. (2003). Detection of outliers in constrained regression. The Korean Communications in Statistics, 10, 519-524   과학기술학회마을   DOI   ScienceOn