Evaluation of Linear Mixed Model Case Deletion Diagnostic Tools by Monte Carlo Simulation

References

• Beckman , R. J. , Nachtsheim , C. J. , Cook , R. D. ( 1987 ). Diagnostics for mixed model analysis of variance . Technometrics 29 : 413 – 426 . [CSA]
   Web of Science ®Google Scholar
• Christensen , R. , Pearson , L. M. , Johnson , W. ( 1992 ). Case deletion diagnostics for mixed models . Technometrics 34 : 38 – 45 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Corbeil , R. R. , Searle , S. R. ( 1976 ). A comparison of variance component estimators . Biometrics 32 : 779 – 949 . [CSA]
   Web of Science ®Google Scholar
• Duchateau , L. , Janssen , P. ( 1997 ). An example based tour in linear mixed model . In: Linear Mixed Models in Practice: A SAS Oriented Approach . Verbeke , G. , Molenberghs , G. , eds. New York : Springer-Verlag , pp. 11 – 62 .
   Google Scholar
• Fellner , W. H. ( 1986 ). Robust estimation of variance components . Technometrics 28 : 51 – 60 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Hocking , R. R. , Green , J. W. , Bremer , R. H. ( 1989 ). Variance component estimation with model based diagnostics . Technometrics 31 : 227 – 239 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Huber , P. J. ( 1981 ). Robust Statistics . New York : John Wiley .
   Google Scholar
• Khattree , R. ( 1998 ). Some practical estimation procedures for variance components . Computat. Statist. Data Anal. 28 : 1 – 32 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Lesaffre , E. , Verbeke , G. (1998). Local influence in linear mixed models. Biometrics 54:570–582. [INFOTRIEVE] [CSA]
   PubMed Web of Science ®Google Scholar
• Swallow , W. H. , Searle , S. R. ( 1978 ). Minimum variance quadratic unbiased estimation (MIVQUE) of variance components . Technometrics 20 : 265 – 272 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Swallow , W. H. , Monahan , J. F. ( 1984 ). Monte-Carlo comparison of ANOVA, MIVQUE, REML, and ML estimators of variance components . Technometrics 26 : 47 – 57 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Verbeke , G. , Lesaffre , E. ( 1997 ). The effect of misspecifying the random-effects distribution in linear mixed models for longitudinal data . Computat. Statist. Data Anal. 23 : 541 – 556 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Zewotir , T. , Galpin , J. S. ( 2004 ). The behaviour of normality plots under non-normality in mixed models . South African Statist. J. 38 : 115 – 138 . [CSA]
   Google Scholar
• Zewotir , T. , Galpin , J. S. ( 2005 ). Influence diagnostics for linear mixed models . J. Data Sci. 3 : 153 – 177 . [CSA]
   Google Scholar
• Zewotir , T. , Galpin , J. S. ( 2006 ). A unified approach on residuals, leverages and outliers in the linear mixed model . Test 16. . In press . [CSA]
   Google Scholar