Some sequential equivalence tests that control both the size and power

South African Statistical Journal

Volumn 37, Issue 2, 2003, Pages 105-125

  Liu, W ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Confidence interval; Equivalence; Hypothesis testing; Power; Sample size; Sequential sampling; Size

Indexed keywords

EID: 1842483219     PISSN: 0038271X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. ANDERSON, S. and HAUCK, W.W. (1983). A new procedure for testing equivalence in comparative bioavailability and other clinical trials. Commun. Statist. (A), 12, 2663-92.
2. ANSCOMBE, F.J. (1953). Sequential estimation. J.R.S.S.(B),15, 1-21.
3. BAUER, P. and KIESER, M. (1996). A unifying approach for confidence intervals and testing of equivalence and difference. Biometrika, 83, 934-37.
4. BERGER, L.R. and HSU, J.C. (1996). Bioequivalence trials, intersection-union tests and equivalence confidence sets. Statistical Science, 11, 283-319.
5. BOFINGER, E., HAYTER, A.J. and LIU, W. (1993). The construction of upper confidence bounds on the range of several location parameters. J. Amer. Statist. Assoc., 88, 906-11.
6. BROWN, L.D., CASELLA, G. and HWANG, J.T. (1995). Optimal confidence sets, bioequivalence, and the limacon of Pascal. J. Amer. Statist. Assoc., 90, 880-889.
7. BROWN, L.D., HWANG, J.T.G. and MUNK, A. (1997). An unbiased test for bioequivalence problem. Ann. of Statist., 25, 2345-2367.
8. CHOW, S.C. and LIU, J.P. (1992). Design and analysis of bioavailability and bioequivalence studies. Marcel Dekker, New York.
9. CHOW, Y.S. and ROBBINS, H. (1965). On the asymptotic theory of fixed width confidence intervals for the mean. Ann. Math. Statist., 36, 457-62.
10. GHOSH, M., MUKHOPADYAY, N. and SEN, P.K. (1997). Sequential estimation. Wiley.
11. HALL, P. (1981). Asymptotic theory of triple sampling for sequential estimation of a mean. Ann. Statist., 9, 1229-38.
12. HSU, J.C., HWANG, J.T.G., LIU, H.K. and RUBERG, S.J. (1994). Confidence intervals associated with tests for bioequivalence. Biometrika, 81, 103-14.
13. LIU, H.K. (1990). Confidence intervals in bioequivalence. In Proc. Biopharmaceut. Sect., pp. 51-4. Washington D.C.: Amer. Statist. Assoc.
14. LIU, W. (1997a). Improving the fully sequential procedure of Anscombe-Chow-Robins. Ann. Statistics., 25, 2164-2171.
15. LIU, W. (1997b). A k-stage sequential sampling procedure for estimation of normal mean. J. Statistical Planning and Inference, 65, 109-127.
16. LIU, W. (1997c). Some sample size formulae for controlling both size and power in clinical trials. J.R.S.S. (D) Statistician, 46, 239-251.
17. SCHUIRMANN, D.J. (1981). On hypotheses testing to determine if the mean of a normal distribution is contained in a known interval. Biometrics, 37, p. 617 (Abstract).
18. SCHUIRMANN, D.J. (1987). A comparison of the two one-sided tests procedure and the power approach for assessing the equivalence of average bioavailability. J. Pharmacokin, Biopharm., 15, 657-80.
19. SRINIVASAN, R. and LANGENBERG, P. (1986). A two-stage procedure with controlled error probabilities for testing bioequivalence. Biom. J., 28, 825-33.
20. STEIN, C. (1945). A two-sample test for a linear hypothesis whose power is independent of the variance. Ann. Math. Statist., 16, 243-58.
21. TSENG, Y.L. (2002). Optimal confidence sets for testing average, bioequivalence. TEST, 11 (1), 127-141.
22. WESTLAKE, W.J. (1976). Symmetrical confidence intervals for bioequivalence trials. Biometrics, 35, 273-80.
23. WESTLAKE, W.J. (1981). Bioequivalence testing - A need to rethink (Reader reaction response). Biometrics, 37, 591-3.