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Original Articles

Robust Estimation of Variance Components

William H. Fellner Engineering Department, E. I. du Pont de Nemours and Company, Wilmington, DE, 19898
Pages 51-60 | Published online: 23 Mar 2012

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Temesgen Zewotir & JackyS. Galpin. (2006) Evaluation of Linear Mixed Model Case Deletion Diagnostic Tools by Monte Carlo Simulation. Communications in Statistics - Simulation and Computation 35:3, pages 645-682.
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AliceM. Richardson. (1997) Bounded Influence Estimation in the Mixed Linear Model. Journal of the American Statistical Association 92:437, pages 154-161.
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C.A. McGilchrist & K.K.W. Yau. (1995) The derivation of blup, ML, REML estimation methods for generalised linear mixed models. Communications in Statistics - Theory and Methods 24:12, pages 2963-2980.
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C. A. Mcgilchrist & T. E. Ragunathan. (1995) Generalised components of variance models. Communications in Statistics - Theory and Methods 24:2, pages 349-361.
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Ronald Christensen, LarryM. Pearson & Wesley Johnson. (1992) Case-Deletion Diagnostics for Mixed Models. Technometrics 34:1, pages 38-45.
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R.R. Hocking. (1990) A new approach to variance component estimation with diagnostic implications. Communications in Statistics - Theory and Methods 19:12, pages 4591-4617.
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R.R. Hocking, J.W. Green & R.H. Bremer. (1989) Variance-Component Estimation With Model-Based Diagnostics. Technometrics 31:2, pages 227-239.
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DavidM. Rocke. (1989) Robust Control Charts. Technometrics 31:2, pages 173-184.
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RichardJ. Beckman, ChristopherJ. Nachtsheim & R. Dennis Cook. (1987) Diagnostics for Mixed – Model Analysis of Variance. Technometrics 29:4, pages 413-426.
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Kimberly Kearns Hockman & James M. Lucas. (1987) Variability Reduction through Subvessel CUSUM Control. Journal of Quality Technology 19:3, pages 113-121.
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BrentR. Moulton. (1987) Diagnostics for Group Effects in Regression Analysis. Journal of Business & Economic Statistics 5:2, pages 275-282.
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William H. Fellner. (1987) Sparse matrices, and the estimation of variance components by likelihood methods. Communications in Statistics - Simulation and Computation 16:2, pages 439-463.
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T. P. Speed. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
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Matthew J. Gurka & Lloyd J. Edwards. 2011. Essential Statistical Methods for Medical Statistics. Essential Statistical Methods for Medical Statistics 146 173 .
Sanjoy K. Sinha & J. N. K. Rao. (2009) Robust small area estimation. Canadian Journal of Statistics 37:3, pages 381-399.
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Matthew J. Gurka & Lloyd J. Edwards. 2007. Epidemiology and Medical Statistics. Epidemiology and Medical Statistics 253 280 .
Tsung I. Lin & Jack C. Lee. (2006) A robust approach tot linear mixed models applied to multiple sclerosis data. Statistics in Medicine 25:8, pages 1397-1412.
Crossref
T. P. Speed. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Amylou Dueck & Sharon Lohr. (2005) Robust Estimation of Multivariate Covariance Components. Biometrics 61:1, pages 162-169.
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T. P. Speed. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Xuming He, Bo Fu & Wing K. Fung. (2003) Median regression for longitudinal data. Statistics in Medicine 22:23, pages 3655-3669.
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Kelvin K. W. Yau. (2004) Multilevel Models for Survival Analysis with Random Effects. Biometrics 57:1, pages 96-102.
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Wei Bocheng & Zhong Xuping. (2001) Influence analysis in nonlinear models with random effects. Applied Mathematics-A Journal of Chinese Universities 16:1, pages 35-44.
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Zhong Xuping & Wei Bocheng. (1999) Influence analysis on linear models with random effects. Applied Mathematics-A Journal of Chinese Universities 14:2, pages 169-176.
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Daniel Gervini & Victor J. Yohai. (2008) Robust estimation of variance components. Canadian Journal of Statistics 26:3, pages 419-430.
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A.H. Welsh & A.M. Richardson. 1997. Robust Inference. Robust Inference 343 384 .
Marianthi Markatou & Joel L. Horowitz. (2008) Robust scale estimation in the error‐components model using the empirical characteristic function. Canadian Journal of Statistics 23:4, pages 369-381.
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Chris Fraley & Patrick J. Burns. (1995) Large-Scale Estimation of Variance and Covariance Components. SIAM Journal on Scientific Computing 16:1, pages 192-209.
Crossref
Jayalakshmi Krishnakumar. 1995. Statistical Modelling. Statistical Modelling 151 160 .
C. A. McGilchrist. (1994) Estimation in Generalized Mixed Models. Journal of the Royal Statistical Society Series B: Statistical Methodology 56:1, pages 61-69.
Crossref
Tadeusz Bednarski & Stefan Zontek. 1994. Proceedings of the International Conference on Linear Statistical Inference LINSTAT ’93. Proceedings of the International Conference on Linear Statistical Inference LINSTAT ’93 87 95 .
Noel A. C. Cressie. 1993. Statistics for Spatial Data. Statistics for Spatial Data 803 872 .
R.M. Huggins. (2008) ON THE ROBUST ANALYSIS OF VARIANCE COMPONENTS MODELS FOR PEDIGREE DATA. Australian Journal of Statistics 35:1, pages 43-57.
Crossref
B. Engel. (2008) The analysis of unbalanced linear models with variance components. Statistica Neerlandica 44:4, pages 195-219.
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Anthony Paik & Kenneth Sanchagrin. (2012) Social Isolation in America: An Artifact. SSRN Electronic Journal.
Crossref

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