References
- Armitage , P. ( 1950 ). Sequential analysis with more than two alternative hypotheses, and its relation to discriminant function analysis . J. Roy. Stat. Soc. B 12 : 137 – 144 .
- Bechhofer , R. E. ( 1954 ). A single-sample multiple decision procedure for ranking means of normal populations with known variance . Ann. Math. Stat. 25 : 16 – 39 .
- Bechhofer , R. E. , Dunnett , C. W. , Sobel , M. ( 1954 ). A two-sample multiple decision procedure for ranking means of normal populations with a common unknown variance . Biometrika 41 : 170 – 176 .
- Chan , H. P. , Lai , T. L. (2005). Importance sampling for generalized likelihood ratio procedures in sequential analysis. Sequential Analysis 24(3):259–278.
- Eisenberg , B. ( 1991 ). Multihypothesis problems . In: Ghosh , B. K. , Sen , P. K. , eds. Handbook of Sequential Analysis . New York : Marcel Dekker , pp. 229 – 244
- et al. , ( 1987 ). The efficiency of azidothymidine (AZT) in the treatment of patients with AIDS and AIDS-related complex . New Eng. J. Med. 317 : 185 – 191 .
- Ge , Y. , Dudoit , S. , Speed , T. P. ( 2003 ). Resampling-based multiple testing for microarray data analysis . Test 12 : 1 – 44 .
- Hochberg , Y. , Tamhane , A. C. ( 1987 ). Multiple Comparison Procedures . New York : John Wiley & Sons .
- Holm , S. ( 1979 ). A simple sequentially rejective multiple test procedure . Scand. J. Stat. 6 : 65 – 70 .
- Khan , R. A. ( 1973 ). On sequential distinguishability . Ann. Stat. 1 : 838 – 850 .
- Lai , T. L. ( 2000 ). Sequential multiple hypothesis testing and efficient fault detection-isolation in stochastic systems . IEEE Trans. Inform. Theor. 46 : 595 – 608 .
- Lehmacher , W. , Wassmer , G. , Reitmeir , P. ( 1991 ). Procedures for two-sample comparisons with multiple endpoints controlling the experimentwise error rate . Biometrics 47 : 511 – 521 .
- Lehmann , E. L. , Romano , J. P. ( 2005 ). Testing Statistical Hypotheses. , 3rd ed. New York : Springer .
- Lorden , G. ( 1972 ). Likelihood ratio tests for sequential k-decision problems . Ann. Math. Stat. 43 : 1412 – 1427 .
- Lorden , G. ( 1976 ). 2-SPRT's and the modified Kiefer–Weiss problem of minimizing an expected sample size . Ann. Stat. 4 : 281 – 291 .
- Marcus , R. , Peritz , E. , Gabriel , K. R. ( 1976 ). On closed testing procedures with special reference to ordered analysis of variance . Biometrika 63 : 655 – 660 .
- McCabe , G. ( 1973 ). Estimation of the number of terms in a sum . J. Am. Stat. Assoc. 68 : 452 – 456 .
- Mukhopadhyay , N. ( 1983 ). Selecting the largest normal mean through likelihoods . Stat. Decis. 1 : 171 – 182 .
- Mukhopadhyay , N. , Solanky , T. K. S. ( 1994 ). Multistage Selection and Ranking Procedures: Second-Order Asymptotics . New York : Marcel Dekker .
- Nikiforov , I. V. ( 1995 ). A generalized change detection problem . IEEE Trans. Inform. Theor. 41 : 171 – 187 .
- Paulson , E. ( 1963 ). A sequential decision procedure for choosing one of k hypotheses concerning the unknown mean of a normal distribution . Ann. Math. Stat. 34 : 549 – 554 .
- Paulson , E. ( 1964 ). A sequential procedure for selecting the population with the largest mean from k normal populations . Ann. Math. Stat. 35 : 174 – 180 .
- Pavlov , I. V. ( 1988 ). A sequential procedure for testing many composite hypotheses . Theo. Probab. Appl. 33 : 138 – 142 .
- Robbins , H. ( 1970 ). Sequential estimation of an integer mean . In: Scientists at Work, Festschrift in Honor of Herman Wold . Uppsala : Almqvist and Wiksells .
- Robbins , H. , Sobel , M. , Starr , N. ( 1968 ). A sequential procedure for selecting the largest of k means . Ann. Math. Stat. 39 : 88 – 92 .
- Romano , J. P. , Wolf , M. ( 2005a ). Exact and approximate stepdown methods for multiple hypothesis testing . J. Am. Stat. Assoc. 100 ( 469 ): 94 – 108 .
- Romano , J. P. , Wolf , M. ( 2005b ). Stepwise multiple testing as formalized data snooping . Econometrica 73 ( 4 ): 1237 – 1282 .
- Simons , G. ( 1967 ). Lower bounds for average sample number of sequential multihypothesis tests . Ann. Math. Stat. 38 : 1343 – 1364 .
- Sobel , M. , Wald , A. ( 1949 ). A sequential decision procedure for choosing one of three hypotheses concerning the unknown mean of a normal distribution . Ann. Math. Stat. 20 : 502 – 522 .
- Tang , D.-I. , Geller , N. L. (1999). Closed testing procedures for group sequential clinical trials with multiple endpoints. Biometrics 55:1188–1192.
- Tang , D.-I. , Geller , N. L. , Pocock , S. J. ( 1993 ). On the design and analysis of randomized clinical trials with multiple endpoints . Biometrics 49 : 23 – 30 .
- Tang , D.-I. , Lin , S. P. ( 1997 ). An approximate likelihood ratio test for comparing several treatments to a control . J. Am. Stat. Assoc. 92 : 1155 – 1162 .