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Journal of the American Statistical Association Volume 74, 1979 - Issue 368
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Theory and Method

Asymptotically Optimal Methods of Combining Tests

Robert H. Berk Department of Statistics, Rutgers University, New Brunswick, NJ, 08903, USA
&
Arthur Cohen Department of Statistics, Rutgers University, New Brunswick, NJ, 08903, USA
Pages 812-814 | Received 01 Sep 1978, Published online: 05 Apr 2012

References

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  • Bahadur , R. R. Some Limit Theorems in Statistics . Regional Conference Series in Applied Mathematics . Philadelphia : SIAM .
  • Cohen , Arthur . 1977 . “A Result on Hypothesis Testing for a Multivariate Normal Distribution When Some Observations Are Missing” . Journal of Multivariate Analysis , 7 : 454 – 460 .
  • Cohen , Arthur and Sackrowitz , H. B. 1977 . “Hypothesis Testing for the Common Mean and for Balanced Incomplete Blocks Designs” . Annals of Statistics , 5 : 1195 – 1211 .
  • Fisher , Ronald A. 1950 . Statistical Methods for Research Workers, , 11th ed. , 99 – 101 . London : Oliver and Boyd .
  • George , Olusegun E. and Mudholkar , Govind S. 1979 . “The Logit Method for Combining Tests” Unpublished manuscript
  • Good , I. J. 1955 . “On the Weighted Combination of Significance Tests” . Journal of the Royal Statistical Society, Ser. B , 17 : 264 – 265 .
  • Henrici , Peter . 1977 . Computational Analysis With the HP-25 Pocket Calculator , New York : John Wiley & Sons .
  • Lancaster , H. O. 1961 . “The Combination of Probabilities: An Application of Orthonormal Functions” . Australian Journal of Statistics , 3 : 20 – 33 .
  • Littell , Ramon C. and Folks , Leroy J. 1973 . “Asymptotic Optimally of Fisher's Method of Combining Independent Tests II” . Journal of the American Statistical Association , 68 : 193 – 194 .
  • Oosterhoff , J. 1969 . Combination of One-Sided Statistical Tests , 28 Amsterdam : Mathematical Centre Tracts .
  • Rosenthal , Robert . 1978 . “Combining Results of Independent Studies” . Psychological Bulletin , 85 : 185 – 193 .
  • Zelen , Marvin . 1957 . “The Analysis of Incomplete Block Designs” . Journal of the American Statistical Association , 52 : 204 – 217 .

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