References

Best, D. I. and Rayner, C. W. (1987), "Welch’s Approximate Solution for the Behren’s-Fisher Problem," Technometrics, 29, 205–210.

Chow, S. and Liu, J. (2000), Design and Analysis of Bioavailability and Bioequivalence Studies, Second Edition, New York: Marcel Dekker.

Cochran, W. G. and Cox, G. M. (1950), Experimental Designs, New York: John Wiley & Sons.

Dilba, G., Schaarschmidt, F., and Hothorn, L. A. (2006), mratios: A Package for Inference about Ratios of Normal Means, UseR! Conference.

Diletti, D., Hauschke, D., and Steinijans, V. W. (1991), "Sample Size Determination for Bioequivalence Assessment by Means of Confidence Intervals," International Journal of Clinical Pharmacology, Therapy and Toxicology, 29, 1–8.

Fieller, E. C. (1954), "Some Problems in Interval Estimation," Journal of the Royal Statistical Society Series B, 16, 175–185.

Hauschke, D., Kieser, M., Diletti, E., and Burke, M. (1999), "Sample Size Determination for Proving Equivalence Based on the Ratio of Two Means for Normally Distributed Data," Statistics in Medicine, 18, 93–105.

Huntsberger, David V. and Billingsley, Patrick P. (1989), Elements of Statistical Inference, Dubuque, IA: Wm. C. Brown.

Johnson, N. L. Kotz, S. and Balakrishnan, N. (1994), Continuous Univariate Distributions, Volume 1, Second Edition, New York: John Wiley & Sons.

Jones, B. and Kenward, M. G. (2003), Design and Analysis of Cross-Over Trials, Second Edition, Washington, DC: Chapman & Hall/CRC.

Lee, A. F. S. and Gurland, J. (1975), "Size and Power of Tests for Equality of Means of Two Normal Populations with Unequal Variances," Journal of the American Statistical Association, 70, 933–941.

Lehmann, E. L. (1986), Testing Statistical Hypostheses, New York: John Wiley & Sons.

Moore, David S. (1995), The Basic Practice of Statistics, New York: W. H. Freeman.

Phillips, K. F. (1990), "Power of the Two One-Sided Tests Procedure in Bioequivalence," Journal of Pharmacokinetics and Biopharmaceutics, 18, 137–144.

Posten, H. O., Yeh, Y. Y., and Owen, D. B. (1982), "Robustness of the Two-Sample Test under Violations of the Homogeneity of Variance Assumption," Communications in Statistics, 11, 109–126.

Ramsey, P. H. (1980), "Exact Type I Error Rates for Robustness of Student’s Test with Unequal Variances," Journal of Educational Statistics, 5, 337–349.

Robinson, G. K. (1976), "Properties of Student’s and of the Behrens-Fisher Solution to the Two Mean Problem," Annals of Statistics, 4, 963–971.

SAS Institute Inc. (1986), SUGI Supplemental Library User’s Guide, Version 5 Edition, Cary, NC: SAS Institute Inc.

Sasabuchi, S. (1988a), "A Multivariate Test with Composite Hypotheses Determined by Linear Inequalities When the Covariance Matrix Has an Unknown Scale Factor," Memoirs of the Faculty of Science, Kyushu University, Series A, 42, 9–19.

Sasabuchi, S. (1988b), "A Multivariate Test with Composite Hypotheses When the Covariance Matrix Is Completely Unknown," Memoirs of the Faculty of Science, Kyushu University, Series A, 42, 37–46.

Satterthwaite, F. W. (1946), "An Approximate Distribution of Estimates of Variance Components," Biometrics Bulletin, 2, 110–114.

Scheffe, H. (1970), "Practical Solutions of the Behrens-Fisher Problem," Journal of the American Statistical Association, 65, 1501–1508.

Schuirmann, D. J. (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 Biopharmaceutics, 15, 657–680.

Senn, S. (2002), Cross-over Trials in Clinical Research, Second Edition, New York: John Wiley & Sons.

Steel, R. G. D. and Torrie, J. H. (1980), Principles and Procedures of Statistics, Second Edition, New York: McGraw-Hill.

Tamhane, A. C. and Logan, B. R. (2004), "Finding the Maximum Safe Dose Level for Heteroscedastic Data," Journal of Biopharmaceutical Statistics, 14, 843–856.

Wang, Y. Y. (1971), "Probabilities of the Type I Error of the Welch Tests for the Behren’s-Fisher Problem," Journal of the American Statistical Association, 66, 605–608.

Wellek, S. (2003), Testing Statistical Hypotheses of Equivalence, Boca Raton, FL: Chapman & Hall/CRC Press LLC.

Yuen, K. K. (1974), "The Two-Sample Trimmed for Unequal Population Variances," Biometrika, 61, 165–170.