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Original Articles

Shrinkage estimation for the difference between a control and treatment mean

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Pages 651-662 | Published online: 03 Aug 2007

References

  • Bancroft , T. A. 1944 . On biases in estimation due to the use of preliminary tests of significance . Annals of Mathematical Statistics , 15 : 190 – 204 .
  • Bancroft , T. A. and Han , C.-P. 1977 . Inference based on conditional specification: a note and a bibliography . International Statistical Review , 45 : 117 – 127 .
  • Han , C.-P. , Rao , C. V. and Ravichandran , J. 1988 . Inference based on conditional specification: a second bibliography . Communications in Statistics—Theory and Methods , 17 : 1945 – 1964 .
  • Brook , R. J. 1976 . On the use of a regret function to set significance points in prior tests of estimation . Journal of American Statistical Associaton , 71 : 126 – 131 .
  • Chiou , P. 1990 . Estimation of scale parameters for two exponential distributions . IEEE Transactions on Reliability , 39 : 106 – 109 .
  • Chiou , P. 1992 . Shrinkage estimation of reliability in the exponential distribution . Communications in Statistics—Theory and Methods , 21 : 1745 – 1758 .
  • Chiou , P. and Han , C. P. 1989 . Shrinkage estimation of threshold parameter of the exponential distribution . IEEE Transactions on Reliability , 38 : 449 – 453 .
  • Chiou , P. and Han , C. P. 1996 . Estimation of error variance in one-way random model . Metrika , 44 : 41 – 51 .
  • Giles , D. E.A. , Lieberman , O. and Giles , J. A. 1992 . The optimal size of a preliminary test of linear restrictions in a misspecified regression model . Journal of American Statistical Association , 87 : 1153 – 1157 .
  • Inada , K. 1983 . A minimax regret estimation of a normal mean after preliminary test . Annals of Institute of Statistical Mathematics , 36 : 207 – 215 .
  • Magnus , J. R. 2000 . The traditional pretest estimator . Theory of Probability and Its Applications , 44 : 293 – 308 .
  • Ohtani , K. and Toyoda , T. 1978 . Minimax regret critical values for a preliminary test in pooling variances . Journal of Japan Statistical Society , 8 : 15 – 20 .
  • Sawa , H. and Hiromatsu , T. 1973 . Minimax regret significance points for a preliminary test in regression analysis . Econometrica , 41 : 1093 – 1101 .
  • Toyoda , T. and Wallace , T. D. 1975 . Estimation of variance after a preliminary test of homogeneity and optimal levels of significance for the pre-tests . Journal of Econometrics , 3 : 395 – 404 .
  • Tsujitani , M. , Ohta , H. and Kase , S. 1979 . Pooling procedure for life-test data based on minimax regret function . IEEE Transactions on Reliability , 28 : 408 – 410 .
  • Berger , J. O. 1980 . Statistical Decision Theory , New York : Springer-Verlag .
  • Hirano , K. 1977 . Estimation procedures based on preliminary test, shrinkage technique and information criterion . Annals of Institute of Statistical Mathematics , 29 : 21 – 34 .
  • Akaike , H. Information theory and an extension of the maximum likelihood principle . Budapest. Proceedings of 2nd International Symposium on Information Theory , pp. 267 – 281 . Akademiai .
  • Huntsberger , D. V. 1955 . A generalization of a preliminary testing procedure for pooling data . Annals of Mathematical Statistics , 26 : 734 – 743 .
  • Hodges , J. L. and Lehmann , E. L. 1950 . Some problems in minimax point estimation . Annals of Mathematical Statistics , 21 : 182 – 197 .
  • Savage , L. J. 1951 . The theory of statistical decision . Journal of American Statistical Association , 46 : 55 – 67 .
  • Montgomery , D. C. 2005 . Design and Analysis of Experiments , 6th , New York : John Wiley & Sons .

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