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The American Statistician Volume 43, 1989 - Issue 1
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Original Articles

Median Unbiased Estimation for Binary Data

Karim F. Hirji Department of Biomathematics, School of Medicine, University of California, Los Angeles, CA, 90024, USA
,
Anastasios A. Tsiatis Department of Biostatistics, Harvard School of Public Health and Dana-Farber Cancer Institute, Boston, MA, 02115, USA
&
Cyrus R. Mehta Department of Biostatistics, Harvard School of Public Health and Dana-Farber Cancer Institute, Boston, MA, 02115, USA
Pages 7-11 | Received 01 Apr 1987, Published online: 27 Feb 2012

References

  • Agresti , A. and Yang , M. 1987 . “An Empirical Investigation of Some Effects of Sparseness in Contingency Tables” . Computational Statistics and Data Analysis , 5 : 9 – 21 .
  • Birnbaum , A. 1961 . “A Unified Theory of Estimation, I” . The Annals of Mathematical Statistics , 32 : 112 – 135 .
  • Birnbaum , A. 1964 . “Median Unbiased Estimators” . Bulletin of Mathematical Statistics , 11 : 25 – 34 .
  • Bishop , Y. M. , Fienberg , S. E. and Holland , P. W. 1977 . Discrete Multivariate Analysis , Cambridge , MA : MIT Press .
  • Breslow , N. E. and Day , N. E. 1980 . The Analysis of Case-Control Studies , Lyon , , France : International Agency for Research on Cancer .
  • Cox , D. R. 1970 . The Analysis of Binary Data , London : Metheun .
  • Hirji , K. F. 1986 . “Exact Logistic Regression” , Harvard School of Public Health, Dept. of Biostatistics . unpublished D.Sc. dissertation
  • Hirji , K. F. , Mehta , C. R. and Patel , N. R. 1987 . “Computing Distributions for Exact Logistic Regression” . Journal of the American Statistical Association , 82 : 1110 – 1117 .
  • Hirji , K. F. , Mehta , C. R. and Patel , N. R. 1988 . “Exact Inference for Matched Case-Control Studies” . Biometrics , 44 : 803 – 814 .
  • Lehmann , E. L. 1987 . Testing Statistical Hypothesis, , 2nd ed. , New York : John Wiley .
  • Mehta , C. R. , Patel , N. R. and Gray , R. 1985 . “Computing an Exact Confidence Interval for the Common Odds Ratio in Several 2 × 2 Contingency Tables” . Journal of the American Statistical Association , 80 : 969 – 973 .
  • Pitman , E. J. G. 1937 . “The ‘Closest’ Estimates of Statistical Parameters” . Proceedings of the Cambridge Philosophical Society , 33 : 212 – 222 .
  • Read , C. B. 1985 . “Median Unbiased Estimator” . In Encyclopedia of Statistical Sciences (Vol. 5) , Edited by: Kotz , S. and Johnson , N. L. 424 – 426 . New York : John Wiley .
  • Tritchler , D. 1984 . “An Algorithm for Exact Logistic Regression” . Journal of the American Statistical Association , 79 : 709 – 711 .
  • Van der Vaart , H. R. 1961 . “Some Extensions of the Idea of Bias” . The Annals of Mathematical Statistics , 32 : 436 – 447 .

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