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Original Articles

L-statistics for repeated measurements data with application to trimmed means, quantiles and tolerance intervals

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Pages 499-521 | Received 03 May 2012, Accepted 25 Jan 2013, Published online: 15 Mar 2013

References

  • Assaad , H. 2012 . L-Statistics for Repeated Measurements Data and their Applications . Ph.D. dissertation, University of Texas at Dallas.
  • Azzalini , A. 1985 . A Class of Distributions Which Includes the Normal Ones . Scandinavian Journal of Statistics , 12 : 171 – 178 .
  • Billingsley , P. 1968 . Convergence of Probability Measures , New York : Wiley .
  • Bland , J. M. and Altman , D. G. 1999 . Measuring Agreement in Method Comparison Studies . Statistical Methods in Medical Research , 8 : 135 – 160 . (doi:10.1191/096228099673819272)
  • Burdick , R. , Borror , C. and Montgomery , D. 2005 . Design and Analysis of Gauge R&R Studies: Making Decisions with Confidence Intervals in Random and Mixed Anova Models , ASA-SIAM Series on Statistics & Applied Probability Philadelphia, PA/Alexandria, VA : SIAM/ASA .
  • David , H. A. and Nagaraja , H. N. 2003 . Order Statistics , 3 , New York : Wiley .
  • Dunn , G. 1989 . Design and Analysis of Reliabilities studies: The Statistical Evaluation of Measurement Errors , New York : Oxford University Press .
  • Fernholz , L. 1983 . von Mises Calculus for Statistical Functionals , New York : Springer .
  • Fleiss , J. L. 1986 . The Design and Analysis of Clinical Experiments , New York : John Wiley .
  • Ghosh , J. K. 1971 . A New Proof of the Bahadur Representation of Quantiles and an Application . Annals of Mathematical Statistics , 42 : 1957 – 1961 . (doi:10.1214/aoms/1177693063)
  • Guttman , I. 1988 . “ Statistical Tolerance Regions ” . In Encyclopedia of Statistical Sciences , Edited by: Kotz , S. , Johnson , N. L. and Read , C. B. Vol. 9 , 272 – 287 . New York : Wiley .
  • Huber , P. J. 1981 . Robust Statistics , New York : Wiley .
  • Hutson , A. 2003 . Nonparametric Estimation of Normal Ranges Given One-Way ANOVA Random Effects Assumptions . Statistics & Probability Letters , 64 : 415 – 424 . (doi:10.1016/S0167-7152(03)00207-4)
  • Karlin , S. , Cameron , E. C. and Williams , P. T. 1981 . Sibling and Parent-Offspring Correlation Estimation with a Variable Family Size . Proceedings of the National Academy of Sciences , 78 : 2664 – 2668 . (doi:10.1073/pnas.78.5.2664)
  • Keselman , H. J. , Kowalchuk , R. K. , Algina , J. , Lix , L. M. and Wilcox , R. R. 2000 . Testing Treatment Effects in Repeated Measures Designs: Trimmed Means and Bootstrapping . British Journal of Mathematical & Statistical Psychology , 53 : 175 – 191 . (doi:10.1348/000711000159286)
  • Krishnamoorthy , K. and Mathew , T. 2009 . Statistical Tolerance Regions: Theory, Applications, and Computation , New York : Wiley .
  • Lehmann , E. L. 1999 . Elements of Large-Sample Theory , New York : Springer .
  • Olsson , J. and Rootzen , H. 1996 . Quantile Estimation From Repeated Measurements . Journal of the American Statistical Association , 91 : 1560 – 1565 . (doi:10.1080/01621459.1996.10476723)
  • Pinheiro , J. C. and Bates , D. 2000 . Mixed-Effects Models in S and S-PLUS , New York : Springer .
  • Pinheiro , J. C. , Bates , D. , DebRoy , S. , Sarkar , D. and the R Development Core Team . 2011 . nlme: Linear and Nonlinear Mixed Effects Models . R package version 3.1-101.
  • R Development Core Team . 2011 . R: A Language and Environment for Statistical Computing , Vienna : R Foundation for Statistical Computing . http://www.R-project.org/
  • Serfling , R. J. 1980 . Approximation Theorems of Mathematical Statistics , New York : Wiley .
  • Shao , J. 2003 . Mathematical Statistics , 2 , New York : Springer .
  • Sharma , G. and Mathew , T. 2012 . One-Sided and Two-Sided Tolerance Intervals in General Mixed and Random Effects Models Using Small-Sample Asymptotics . Journal of the American Statistical Association , 107 : 258 – 267 . (doi:10.1080/01621459.2011.640592)
  • Silverman , B. W. 1986 . Density Estimation for Statistics and Data Analysis , Boca Raton , FL : Chapman & Hall/CRC .
  • van der Vaart , A. W. 1998 . Asymptotic Statistics , New York : Cambridge University Press .
  • Vardeman , S. B. 1992 . What About the Other Intervals? . The American Statistician , 46 : 193 – 197 .
  • Wilcox , R. R. 1994 . A One-Way Random Effects Model for Trimmed Means . Psychometrika , 59 : 289 – 306 . (doi:10.1007/BF02296126)
  • Wilcox , R. R. 2012 . Introduction to Robust Estimation and Hypothesis Testing , 3 , San Diego , CA : Academic Press .
  • Wilcox , R. R. , Keselman , H. J. , Muska , J. and Cribbie , R. 2000 . Repeated Measures ANOVA: Some New Results on Comparing Trimmed Means and Means . British Journal of Mathematical & Statistical Psychology , 53 : 69 – 82 . (doi:10.1348/000711000159187)

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