Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Improved Algorithm for Case-Deletion Diagnostic in Mixed Linear Models

  • Published : 2000.12.01
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Abstract

Outliers may occur with respect to any of the random components in mixed linear models. We develop a use of simple, inexpensive updating formulas to consider the effect of case-deletion for mixed linear models. The method described here requires inversions of an n x n matrix, where n is the number of nonempty cells. A numerical example illustrates the use of computational formulas.

Keywords

References

  1. Regression Diagnostics Belsley, D.A.;Kuh, E.;Welsch, R.E.
  2. Engineering Statistics Bowker, A.H.;Lieberman, G.H.
  3. Technometrics v.34 no.1 Case-Deletion Diagnostics for Mixed Models Christensen, R.;Pearson, L.M.;Johnson, W.
  4. Technometrics v.19 Detection of Influential Observations in Linear Regression Cook, R.D.
  5. Residuals and Influence in Regression Cook, R.D.;Weisberg, S.
  6. Technometrics v.28 Robust Estimation of Variance Components Fellner, W.H.
  7. Matrices with Applications in Statistics Graybill, F.A.
  8. Biometrika v.54 Maximum Likelihood Estimation for the Mixed Analysis of Variance Model Hartley, H.O.;Rao, J.N.K.
  9. Technometrics v.18 Computing Maximum Likelihood Estimates for the Mixed A.O.V. model Using the W Transformations Hemmerle, W.J.;Hartley, H.O.
  10. Biometrics v.9 Estimation of Variance and Covariance Components Henderson, C.R.
  11. SUGI v.8 A Diagnostic Tool for Mixed Models with Application to Negative Estimates of Variance Components Hocking, R.R.
  12. SUGI v.12 Estimation of Variance Components in Mixed Factorial Models Including Model-Based Diagnostics Hocking, R.R.;Bremer, R.H.
  13. Detection of Influential Observations in Linear Mixed Models Hurtado, G.
  14. Journal og Statistical Computation and Sumulation v.29 A New Approach for the W-matrix Lee, J.T.;Kim, B.C.
  15. Biometrika v.58 Recovery of Interblock Information When Block Sizes are Unequal Patterson, H.D.;Thompson, R.
  16. Journal of Multivariate Analysis v.1 Estimation of Variance Components - MINQUE Theory Rao, C.R.
  17. Estimation of Variance Components and Applications Rao, C.R.;Kleffe, J.
  18. Linear Models Searle, S.R.
  19. Linear Models for Unbalanced Data Searle, S.R.
  20. 회귀분석(上) 최병선