Easy multiplicity control in equivalence testing using two one-sided tests

American Statistician

Volumn 63, Issue 2, 2009, Pages 147-154

  Lauzon, Carolyn ^a   Caffo, Brian ^b  

^a JOHNS HOPKINS UNIVERSITY SCHOOL OF MEDICINE   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

Bioequivalence; Familywise error rate; Multiple comparisons; T test; Two one sided tests; Type I error rate

Indexed keywords

EID: 67549109452     PISSN: 00031305     EISSN: None     Source Type: Journal    
DOI: 10.1198/tast.2009.0029     Document Type: Article

References (27)

1. Anderson, S., and Hauck, W. (1983), "A New Procedure for Testing Equivalence in Comparative Bioavailability and Other Clinical Trials, " Communications in Statistics-Theory and Methods, 12 (23), 2663-2692.
2. Barker, L., Luman, E., McCauley, M., and Chu, S. (2002), "Assessing Equivalence: An Alternative to the Use of Difference Tests for Measuring Disparities in Vaccination Coverage, " American Journal of Epidemiology, 156 (11), 1056.
3. Barnett, B., Arepally, A., Karmarkar, P., Qian, D., Gilson, W., Walczak, P., Howland, V., Lawler, L., Lauzon, C, Stuber, M., et al. (2007), "Magnetic Resonance-Guided, Real-Time Targeted Delivery and Imaging of Magnetocapsules Immunoprotecting Pancreatic Islet Cells, " Nature Medicine, 13, 986-991.
4. Barnett, B., Kraitchman, D., Lauzon, C, Magee, C, Walczak, P., Gilson, W., Arepally, A., and Bulte, J. (2006), "Radiopaque Alginate Microcapsules for X-Ray Visualization and Immunoprotection of Cellular Therapeutics, " Molecular Pharmaceutics, 3 (5), 531-538.
5. Berger, R., and Hsu, J. (1996), "Bioequivalence Trials, Intersection-Union Tests and Equivalence Confidence Sets, " Statistical Science, 11 (4), 283-319.
6. Bofinger, E. (1985), "Multiple Comparisons and Type III Errors, " Journal of the American Statistical Association, 80 (390), 433-437.
7. Brown, L., Casella, G., and Hwang, J. (1995), "Optimal Confidence Sets, Bioequivalence, and the Limacon of Pascal, " Journal of the American Statistical Assocication, 90, 880-889.
8. Choi, L., Caffo, B., and Rohde, C. (2007), "A Survey of the Likelihood Approach to Bioequivalence Trials, " working papers, Dept. of Biostatistics, Johns Hopkins University.
9. Fluehler, H., Grieve, A., Mandallaz, D., Mau, J., and Moser, H. (1983), "Bayesian Approach to Bioequivalence Assessment: An Example, " Journal of Pharmaceutical Science, 72 (10), 1178-1181.
10. Giani, G., and Finner, H. (1991), "Some General Results on Least Favorable Parameter Configurations With Special Reference to Equivalence Testing and the Range Statistic, " Journal of Statistical Planning and Inference, 28 (1), 33-47.
11. Giani, G., and Strassburger, K. (1994), "Testing and Selecting for Equivalence With Respect to a Control, " Journal of the American Statistical Assocication, 89, 320-329.
12. - (2000), "Multiple Comparison Procedures for Optimally Discriminating Between Good, Equivalent, and Bad Treatments With Respect to a Control, " Journal of Statistical Planning and Inference, 83 (2), 413-440.
13. Goodman, S., and Berlin, J. (1994), "The Use of Predicted Confidence Intervals When Planning Experiments and the Misuse of Power When Interpreting Results, " Annals of Internal Medicine, 121 (3), 200.
14. Hauck, W., and Anderson, S. (1984), "A New Statistical Procedure for Testing Equivalence in Two-Group Comparative Bioavailability Trials, " Journal of Pharmacokinetics and Pharmacodynamics, 12 (1), 83-91.
15. Hoenig, J., and Heisey, D. (2001), "The Abuse of Power: The Pervasive Fallacy of Power Calculations for Data Analysis, " The American Statistician, 55 (1), 19-24.
16. Hsu, J. (1996), Multiple Comparisons: Theory and Methods, London: Chapman and Hall/CRC.
17. Hsu, J., Hwang, J., Liu, H., and Ruberg, S. (1994), "Confidence Intervals Associated With Tests for Bioequivalence, " Biometrika, 81 (1), 103-114.
18. Ihaka, R., and Gentleman, R. (1996), "R: A Language for Data Analysis and Graphics, " Journal of Computational and Graphical Statistics, 5 (3), 299-314.
19. Lehman, E. (1986), Testing Statistical Hypotheses (2nd ed.), New York: Springer-Verlag.
20. Press, W, Teukolsky, S., Vetterling, W, and Flannery, B. (1992), Numerical Recipes in C, Cambridge, U. K.: Cambridge University Press.
21. Schuirmann, D. (1987), "A Comparison of the Two One-Sided Tests Procedure and the Power Approach for Assessing the Equivalence of Average Bioavailability, " Journal of Pharmacokinetics and Pharmacodynamics, 15 (6), 657-680.
22. Selwyn, M., and Hall, N. (1984), "On Bayesian Methods for Bioequivalence Biometrics, 40 (4), 1103-1108.
23. Selwyn, M., Dempster, A., and Hall, N. (1981), "A Bayesian Approach to Bioequivalence for the 2×2 Changeover Design, " Biometrics, 37 (1), 11-21.
24. Tempelman, R. (2004), "Experimental Design and Statistical Methods for Classical and Bioequivalence Hypothesis Testing With an Application to Dairy Nutrition Studies 1, " Journal of Animal Science, 82 (90130), 162-172.
25. Tseng, Y. (2002), "Optimal Confidence Sets for Testing Average Bioequivalence, " Test, 11 (1), 127-141.
26. Wellek, S. (2003), Testing Statistical Hypotheses of Equivalence, Boca Raton, FL: CRC Press.
27. Westlake, W. (1976), "Symmetrical Confidence Intervals for Bioequivalence Trials, " Biometrics, 32 (4), 741-744.