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AuthorMiller, Rupert G. author
TitleSimultaneous Statistical Inference [electronic resource] / by Rupert G. Miller
ImprintNew York, NY : Springer New York, 1981
Edition Second Edition
Connect tohttp://dx.doi.org/10.1007/978-1-4613-8122-8
Descript XVI, 299 p. online resource

SUMMARY

Simultaneous Statistical Inference, which was published originally in 1966 by McGraw-Hill Book Company, went out of print in 1973. Since then, it has been available from University Microfilms International in xerox form. With this new edition Springer-Verlag has republished the original edition along with my review article on multiple comparisons from the December 1977 issue of the Journal of the American Statistical Association. This review article covered developments in the field from 1966 through 1976. A few minor typographical errors in the original edition have been corrected in this new edition. A new table of critical points for the studentized maximum modulus is included in this second edition as an addendum. The original edition included the table by K. C. S. Pillai and K. V. Ramachandran, which was meager but the best available at the time. This edition contains the table published in Biometrika in 1971 by G. 1. Hahn and R. W. Hendrickson, which is far more comprehensive and therefore more useful. The typing was ably handled by Wanda Edminster for the review article and Karola Decleve for the changes for the second edition. My wife, Barbara, again cheerfully assisted in the proofreading. Fred Leone kindly granted permission from the American Statistical Association to reproduce my review article. Also, Gerald Hahn, Richard Hendrickson, and, for Biometrika, David Cox graciously granted permission to reproduce the new table of the studentized maximum modulus. The work in preparing the review article was partially supported by NIH Grant ROI GM21215


CONTENT

1 Introduction -- 1 Case of two means -- 2 Error rates -- 3 Basic techniques -- 4 p-mean significance levels -- 5 Families -- 2 Normal Univariate Techniques -- 1 Studentized range (Tukey) -- 2 F projections (Scheffรฉ)48 -- 3 Bonferroni t statistics -- 4 Studentized maximum modulus -- 5 Many-one t statistics76 -- 6 Multiple range tests (Duncan) -- 7 Least significant difference test (Fisher) -- 8 Other techniques -- 9 Power -- 10 Robustness -- 3 Regression Techniques -- 1 Regression surface confidence bands -- 2 Prediction -- 3 Discrimination -- 4 Other techniques -- 4 Nonparametric Techniques -- 1 Many-one sign statistics (Steel) -- 2 k-sample sign statistics -- 3 Many-one rank statistics (Steel) -- 4 k-sample rank statistics -- 5 Signed-rank statistics -- 6 Kruskal-Wallis rank statistics (Nemenyi) -- 7 Friedman rank statistics (Nemenyi) -- 8 Other techniques -- 5 Multivariate Techniques -- 1 Single population; covariance scalar unknown -- 2 Single population; covariance matrix unknown -- 3 k populations; covariance matrix unknown -- 4 Other techniques -- 6 Miscellaneous Techniques -- 1 Outlier detection -- 2 Multinomial populations -- 3 Equality of variances -- 4 Periodogram analysis -- 5 Alternative approaches: selection, ranking, slippage -- A Strong Law For The Expected Error Rate -- B TABLES -- I Percentage points of the studentized range -- II Percentage points of the Bonferroni t statistic -- III Percentage points of the studentized maximum modulus -- IV Percentage points of the many-one t statistics -- V Percentage points of the Duncan multiple range test -- VI Percentage points of the many-one sign statistics -- VIII Percentage points of the many-one rank statistics -- IX Percentage points of the k-sample rank statistics -- Developments in Multiple Comparisons 1966โ{128}{147}1976 -- 1 Introduction -- 2 Papers of special interest -- 2.1 Probability inequalities -- 2.2 Methods for unbalanced ANOVA -- 2.3 Conditional confidence levels -- 2.4 Empirical Bayes approach -- 2.5 Confidence bands in regression -- 3 References -- 4 Bibliography 1966โ{128}{147}1976 -- 4.1 Survey articles -- 4.2 Probability inequalities -- 4.3 Tables -- 4.4 Normal multifactor methods -- 4.5 Regression -- 4.6 Categorical data -- 4.7 Nonparametric techniques -- 4.8 Multivariate methods -- 4.9 Miscellaneous -- 4.10 Pre-1966 articles missed in [6] -- 4.11 Late additions -- 5 List of journals scanned -- Addendum New Table of the Studentized Maximum Modulus -- Table IIIA Percentage points of the studentized maximum modulus -- Author Index


Mathematics Applied mathematics Engineering mathematics Mathematics Applications of Mathematics



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