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Original Articles

Influence diagnostics in constrained general linear models

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Pages 5331-5340 | Received 22 Oct 2013, Accepted 03 Jul 2014, Published online: 11 Jul 2016

References

  • Atkinson, A.C. (1985). Plots, Transformations and Regression. Oxford, UK: Clarendon Press.
  • Banerjee, M., Frees, E.W. (1997). Influence diagnostics for linear longitudinal models. Am. Stat. Assoc. 92:999–1005.
  • Belsley, D.A., Kuh, E., Welsch, R.E. (1989). Regression Diagnostics: Identifying Influential Data and Sources of Collinearity. New York: Wiley.
  • Chatterjee, S., Hadi, A.S. (1988). Sensitivity Analysis in Linear Regression. New York: Wiley.
  • Chipman, J.S., Rao, M.M. (1964). The treatment of linear restriction in regression analysis. Econometrica 32:198–209.
  • Christensen, R., Pearson, L.M., Johnson, W. (1992). Case deletion diagnostics for mixed models. Technometrics 34:38–45.
  • Cook, R.D. (1977). Detection of influential observations in linear regression. Technometrics 19:15–18.
  • Cook, R.D., Weisberg, S. (1982). Residuals and Influence in Regression. New York: Chapman & Hall.
  • Haslett, S. (1999). A Simple Derivation of Deletion Diagnostics for the General Linear Model with Correlated Errors. R. Stat. Soc., Ser. B 61:603–609.
  • Haslett, J., Haslett, S.J. (2007). The three basic types of residuals for a linear model. Int. Stat. Rev. 75:1–24.
  • Hurtado, G.I. (1993). Detection of Influential Observations in Linear Mixed Models. Doctoral Dissertation submitted to North Carolina State University, Raleigh, NC, USA.
  • Kim, M.G. (1998). Local influence on a test of linear hypothesis in multiple regression models. Appl. Stat. 25:145–152.
  • Kim, M.G. (2007). Influence analysis of constrained linear models. Kor. Commun. Stat. 14:281–286.
  • Nobre, J.S., Singer, J.M. (2011). Leverage analysis for linear mixed models. Appl. Stat. 38:1063–1072.
  • Paula, G.A. (1993). Assessing local influence in restricted regression models. Comput. Stat. Data Anal. 16:63–79.
  • Paula, G.A. (1999). Leverage in inequality constrained regression models. Statist. 48:529–528.
  • Rao, C.R. (1973). Linear Statistical Inference and Its Applications. New York: Wiley.
  • Seber, G.A.F. (2003). Linear Regression Analysis. New York: Wiley.
  • Shi, L., Chen, G. (2009). Influence measure for general linear models with correlated errors. Am. Statist. 63:40–42.
  • Tan, F.E.S., Ouwens, M.J.N., Berger, M.P.F. (2001). Detection of influential observations in longitudinal mixed effects regression models. Statist. 50:271–284.
  • Wei, H.W., Fung, W.K. (1999). The mean shift outlier models in general weighted regression and its applications. Comput. Stat. Data Anal. 30:429–441.
  • Yan, X., Su, G.X. (2009). Linear Regression Analysis, Theory and Computing.Singapore: World Scientific Publishing Co. Pte. Ltd.
  • Zewotir, T., Galpin, J.S. (2005). Influence diagnostics for linear mixed models. Data Sci. 3:153–177.

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