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Part of the book series: Theory and Decision Library ((TDLB,volume 1))

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Abstract

Two sample problems and classifcation procedures are discussed. It is shown that adaptation of the MML estimators leads to tests which have Type I robustness and have remarkably high power.

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Bibliography

  • Anderson, T. W. Classification by multivariate analysis. Psychometrika 16, (1951), 31–50.

    Article  MathSciNet  Google Scholar 

  • Andrews, D. F., Bickel, P. J., Hampel, F. R., Huber, P. J., Rogers, W. H. and Tukey, J. W. Robust estimates of Location. Proceton: Princeton University Press, 1972.

    MATH  Google Scholar 

  • Balakrishnan, N., Tiku, M. L. and EL Shaarawi, A. H. Robust univariate two-way classification. Biometrical J. 27 (1985) to appear.

    Google Scholar 

  • Bickel, P. J. and Doksum, K. An analysis of transformations revisited. J. Amer. Statist. Assoc. 76, (1981) 296–311.

    Article  MathSciNet  MATH  Google Scholar 

  • Box, G. E. P. and Cox, D. R. An analysis of transformations. J. R. Statist. Soc. B 26, (1964) 211–52.

    MathSciNet  MATH  Google Scholar 

  • Box, G. E. P. and Cox, D. R. An analysis of transformations revisited, rebutted. J. Amer. Statist. Assoc. 77, (1982) 209–10.

    Article  MathSciNet  MATH  Google Scholar 

  • Dunnett, C. W. Robust multiple comparisons. Commun. Statist. Theor. Meth. 11 (22), (1982) 2611–29.

    Article  MATH  Google Scholar 

  • Rasch, D. Papers by Rasch and his coauthors in these proceedings. (1984).

    Google Scholar 

  • Spj∅tvoll, E. and Aastveit, A. H. Comparison of robust estimators on data from field experiments. Scandinavian J. Statist. 7, (1980) 1–13.

    Article  Google Scholar 

  • Sprott, D. A. Robustness and maximum likelihood estimation. Commun. Statist.-Theor. Meth. 11 (22), (1982) 2513–29.

    Article  MathSciNet  MATH  Google Scholar 

  • Stigler, S. M. Do robust estimators work with real data? Ann. Statist. 5, (1977) 1055–98 (with discussion).

    Article  MathSciNet  MATH  Google Scholar 

  • Tan, W. Y. Sampling distributions and robustness of t, F and variance-ratio in two samples and ANOVA models with respect to departure from normality. Commun. Statist.-Theor. Meth. 11(22), (1982) 2485–2511.

    MATH  Google Scholar 

  • Tiku, M. L. Estimating the mean and standard deviation from censored normal samples. Biometrika 54, (1967) 155–65.

    MathSciNet  Google Scholar 

  • Tiku, M. L. Monte-Carlo study of some simple estimators in censored normal samples. Biometrika 57, (1970) 207–11.

    Article  MathSciNet  MATH  Google Scholar 

  • Tiku, M. L. Laguerre series forms of the distributions of classical test-statistics and their robustness in nonnormal situations. Applied Statistics. (R. P. Gupta, Ed.) American Elsevier Pub. Comp., New York 1975.

    Google Scholar 

  • Tiku, M. L. Robustness of MML estimators based on censored samples and robust test statistics. J. Statistical Planning and Inference 4, (1980) 123–43.

    Article  MathSciNet  MATH  Google Scholar 

  • Tiku, M. L. Testing linear contrasts of means in experimental design without assuming normality and homogeneity of variances. Biometrical J. 24, (1982a) 613–27.

    Article  MathSciNet  MATH  Google Scholar 

  • Tiku, M. L. Robust statistics for testing equality of means or variances. Commun. Statist.-Theor. Meth., 11 (22) (1982b) 2543–58.

    Article  MathSciNet  MATH  Google Scholar 

  • Tiku, M. L. MML Estimators and Robust Statistics. A book manuscript to be published by Marcel Dekker, Inc.: New York 1983.

    Google Scholar 

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© 1984 Academy of Agricultural Sciences of the GDR, Research Centre of Animal Production, Dummerstorf-Rostock, DDR 2551 Dummerstorf.

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Tiku, M.L. (1984). Robust Location-Tests and Classification Procedures. In: Rasch, D., Tiku, M.L. (eds) Robustness of Statistical Methods and Nonparametric Statistics. Theory and Decision Library, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6528-7_34

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  • DOI: https://doi.org/10.1007/978-94-009-6528-7_34

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6530-0

  • Online ISBN: 978-94-009-6528-7

  • eBook Packages: Springer Book Archive

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