References

Abelson, R.P., Tukey, J.W. (1963). "Efficient utilization of non-numerical information in quantitative analysis: General theory and the case of simple order." The Annals of Mathematical Statistics 34, 1347–1369.

Bartholomew, D.J. (1961). "Ordered tests in the analysis of variance." Biometrika 48, 325–332.

Bauer, P. (1997). "A note on multiple testing procedures in dose finding." Biometrics 53, 1125–1128.

Bauer, P., Brannath, W., Posch, M. (2001). "Multiple testing for identifying effective and safe treatments." Biometrical Journal 43, 605–616.

Bauer, P., Röhmel, J., Maurer, W., Hothorn, L. (1998). "Testing strategies in multi-dose experiments including active control." %Statistics in Medicine 17, 2133–2146.

Bretz, F., Hothorn, L.A., Hsu, J.C. (2003). "Identifying effective and/or safe doses by stepwise confidence intervals for ratios." Statistics in Medicine 22, 847–858.

Chuang-Stein, C., Agresti, A. (1997). "A review of tests for detecting a monotone dose-response relationship with ordinal response data." Statistics in Medicine 16, 2599–2618.

Dmitrienko, A., Molenberghs, G., Chuang-Stein, C., Offen, W. (2005). Analysis of Clinical Trials Using SAS: A Practical Guide.Cary, NC: SAS Institute Inc.

Dunnett, C.W., Tamhane, A.C. (1998). "Some new multiple-test procedures for dose finding." Journal of Biopharmaceutical Statistics 8, 353–366.

Finner, H., Strassburger, K. (2002). "The partitioning principle: a powerful tool in multiple decision theory." Annals of Statistics 30, 1194–1213.

Genz, A., Bretz, F. (1999). "Numerical computation of the multivariate t probabilities with application to power calculation of multiple contrasts." Journal of Statistical Computation and Simulation 63, 361–378.

Hothorn, L.A. (1997). "Modifications of the closure principle for analyzing toxicological studies." Drug Information Journal 30, 403–412.

Hsu, J.C., Berger, R.L. (1999). "Stepwise confidence intervals without multiplicity adjustment for dose-response and toxicity studies." Journal of the American Statistical Association 94, 468–482.

Jonckheere, A.R. (1954). "A distribution-free K sample test against ordered alternatives." Biometrika. 41, 133–145.

Kodell, R.L., Chen, J.J. (1991). "Characterization of dose-response relationships inferred by statistically significant trend tests." Biometrics 47, 139–146.

Marcus, R., Peritz, E., Gabriel, K.R. (1976). "On closed testing procedure with special reference to ordered analysis of variance." Biometrika 63, 655–660.

Mukerjee, H., Robertson, T., Wright, F.T. (1987). "Comparison of several treatments with a control using multiple contrasts." Journal of the American Statistical Association 82, 902–910.

Neuhäuser, M., Liu, P.Y., Hothorn, L.A. (1998). "Nonparametric tests for trend: Jonckheere's test, a modification and a maximum test." Biometrical Journal 40, 899–909.

Phillips, A. (1997). "Design and analysis of dose response studies: reality versus regulatory requirements." Drug Information Journal. 31, 737–744.

Phillips, A. (1998). "A review of the performance of tests used to establish whether there is a drug effect in dose-response studies." Drug Information Journal. 32, 683–692.

Rom, D.M., Costello, R.J., Connell, L.T. (1994). "On closed test procedures for dose-response analysis. Statistics in Medicine 13, 1583–1596.

Ruberg, S.J. (1989). "Contrasts for identifying the minimum effective dose." Journal of the American Statistical Association 84, 816–822.

Ruberg, S.J. (1995a). "Dose response studies. Some design considerations." Journal of Biopharmaceutical Statistics 5, 1–14.

Ruberg, S.J. (1995b). "Dose response studies. Analysis and interpretation." Journal of Biopharmaceutical Statistics 5, 15–42.

Shirley, E.A. (1985). "The value of specialized tests in studies where ordered group means are expected." Statistics in Medicine 4, 489–496.

Stefansson, G., Kim, W.C., Hsu, J.C. (1988). "On confidence sets in multiple comparisons." Statistical Decision Theory and Related Topics IV. Edited by S.S. Gupta and J.O. Berger. New York: Academic Press. 89–102.

Stewart, W.H., Ruberg, S.J. (2000). "Detecting dose response with contrasts." Statistics in Medicine 19, 913–921.

Tamhane, A.C., Hochberg, Y., Dunnett, C.W. (1996). "Multiple test procedures for dose finding." Biometrics 52, 21–37.

Tamhane, A.C., Logan, B.R. (2002). "Multiple test procedures for identifying the minimum effective and maximum safe doses of a drug." Journal of the American Statistical Association 97, 293–301.

Terpstra, T.J. (1952). "The asymptotic normality and consistency of Kendall's test against trend, when ties are present in one ranking." Indigationes Mathematicae 14, 327–333.

Tukey, J.W., Ciminera, J.L., Heyse, J.F. (1985). "Testing the statistical certainty of a response to increasing doses of a drug." Biometrics 41, 295–301.

Westfall, P.H. (1997). "Multiple testing of general contrasts using logical constraint and correlations." Journal of the American Statistical Association 92, 299–306.

Westfall, P.H., Tobias, R.D. (2006). "Multiple testing of general contrasts: truncated closure and the extended Shaffer-Royen method." Journal of the American Statistical Association. In press.

Westfall, P.H., Tobias, R.D., Rom, D., Wolfinger, R.D., Hochberg, Y. (1999). Multiple Comparisons and Multiple Tests Using the SAS System. Cary, NC: SAS Institute, Inc.

Williams, D.A. (1971). "A test for differences between treatment means when several dose levels are compared with a zero dose control." Biometrics 27, 103–117.

Williams, D.A. (1972). "The comparison of several dose levels with a zero dose control." Biometrics 28, 519–531.

Williams, D.A. (1988). "Tests for differences between several small proportions." Applied Statistics 37, 421–434.