Influence Diagnostics on Testing Linear Hypothesis in Linear Models with Correlated Errors

References

• Atkinson , A. C. ( 1985 ). Plots, Transformations and Regression . Oxford : Clarendon Press .
   Google Scholar
• Atkinson , A. C. ( 1986 ). Masking unmasked . Biometrika 73 : 533 – 541 .
   Web of Science ®Google Scholar
• Bannerjee , M. , Frees , E. W. ( 1997 ). Influence diagnostics for linear longitudinal models . J. Amer. Statist. Assoc. 92 : 999 – 1005 .
   Web of Science ®Google Scholar
• Belsley , D. A. , Kuh , E. , Welsch , R. E. ( 1980 ). Regression Diagnostics: Identifying Influential Data and Sources of Collinearity . New York : John Wiley & Sons .
   Google Scholar
• Chatterjee , S. , Hadi , A. S. ( 1988 ). Sensitivity Analysis in Linear Regression . New York : John Wiley & Sons .
   Google Scholar
• Chatterjee , S. , Machler , M. ( 1997 ). Robust regression: A weighted least squares approach . Commun. Statist. Theor. Meth. 26 : 1381 – 1394 .
   Web of Science ®Google Scholar
• Christensen , R. , Pearson , L. M. , Johnson , W. ( 1992 ). Case deletion diagnostics for mixed models . Technometrics 34 : 38 – 45 .
   Web of Science ®Google Scholar
• Cook , R. D. (1977). Detection of influential observations in linear regression. Technometrics 19:15–18.
   Web of Science ®Google Scholar
• Cook , R. D. , Weisberg , S. ( 1982 ). Residuals and Influence in Regression . New York : Chapman & Hall .
   Google Scholar
• Daniel , C. , Wood , F. S. ( 1980 ). Fitting Equations to Data . New York : John Wiley & Sons .
   Google Scholar
• Driscoll , M. F. , Grundberg , W. R. ( 1986 ). A history of the development of Craig's theorem . Amer. Statist. 40 : 65 – 69 .
   Web of Science ®Google Scholar
• Grimmett , D. R. , Ridenhour , J. R. ( 1996 ). The effect of a variable data point on hypothesis tests for means . Amer. Statist. 50 : 145 – 150 .
   Web of Science ®Google Scholar
• Haslett , J. ( 1999 ). A simple derivative of deletion diagnostic results for the general linear model with correlated errors . J. Roy. Statist. Soc. B 61 : 603 – 609 .
   Google Scholar
• Haslett , J. , Haslett , S. J. ( 2007 ). The three basic types of residuals for a linear model . Inter. Statist. Rev. 75 : 1 – 24 .
   Web of Science ®Google Scholar
• Haslett , J. , Hayes , K. ( 1998 ). Residuals for the linear model with general covariance structure . J. Roy. Statist. Soc. B 60 : 201 – 215 .
   Google Scholar
• Hurtado , G. ( 1993 ). Detection of influential observations in linear mixed models. PhD thesis, Department of Statistics, North Carolina State University .
   Google Scholar
• Jolliffe , I. T. , Lukudu , S. G. ( 1993 ). The influence of a single observation on some standard test statistics . J. Appl. Statist. 20 : 143 – 151 .
   Web of Science ®Google Scholar
• Kim , M. G. ( 1998 ). Local influence on a test of linear hypothesis in multiple regression models . J. Appl. Statist. 25 : 145 – 152 .
   Web of Science ®Google Scholar
• Kim , M. G. ( 2002 ). Case deletion diagnostic for testing a linear hypothesis about regression coefficient . Kor. Soc. Computat. Appl. Math. 10 ( 2 ): 111 – 118 .
   Google Scholar
• Lee , A. H. , Zhao , Y. ( 1996 ). Sensitivity of Pearson's goodness of fit statistics in generalized linear models . Commun. Statist. Theor. Meth. 25 : 143 – 157 .
   Web of Science ®Google Scholar
• Lee , A. H. , Zhao , Y. ( 1997 ). Assessing influence on the goodness of link in generalized linear models . Statist. Probab. Lett. 31 : 351 – 358 .
   Web of Science ®Google Scholar
• Lustbader , E. D. , Moolgavkar , S. H. ( 1985 ). A diagnostic statistic for the score test . J. Amer. Statist. Assoc. 80 : 375 – 379 .
   Web of Science ®Google Scholar
• Nobre , J. S. , Singer , J. M. ( 2011 ). Leverage analysis for linear mixed models . J. Appl. Statist. 38 : 1063 – 1072 .
   Web of Science ®Google Scholar
• Rao , C. R. ( 1973 ). Linear Statistical Inference and its Applications . New York : John Wiley & Sons .
   Google Scholar
• Seber , G. A. F. , Lee , A. J. ( 2003 ). Linear Regression Analysis . New York : John Wiley & Sons .
   Google Scholar
• Shi , L. , Chen , G. ( 2009 ). Influence measure for general linear models with correlated errors . Amer. Statist. 63 ( 1 ): 40 – 42 .
   Web of Science ®Google Scholar
• Sohn , B. Y. , Kim , B. G. ( 1997 ). Detection of outlier in weighted least square regression . Kore. Soc. Computat. Appl. Math. 4 ( 2 ): 441 – 452 .
   Google Scholar
• Tan , F. E. S. , Ouwens , M. J. N. , Berger , M. P. F. ( 2001 ). Detection of influential observations in longitudinal mixed effects regression models . J. Statistician 50 : 271 – 284 .
   Google Scholar
• Wei , H. W. , Fung , W. K. ( 1999 ). The mean-shift outlier models in general weighted regression and its applications . Computat. Statist. Data Anal. 30 : 429 – 441 .
   Web of Science ®Google Scholar
• Williams , D. A. ( 1987 ). Generalized linear model diagnostics using the deviance and single case deletions . J. Appl. Statist. 36 : 181 – 191 .
   Web of Science ®Google Scholar
• Yan , X. , Su , G. X. ( 2009 ). Linear Regression Analysis . Singapore : World Scientific Publishing Co. Pte. Ltd .
   Google Scholar
• Zewotir , T. , Galpin , J. S. ( 2005 ). Influence diagnostics for linear mixed models . J. Data. Sci. 3 : 153 – 177 .
   Google Scholar