Stepwise Confidence Interval Method for MTD Studies with Binomial Populations


Now we extend one method into a sequence of binomial data, propose a stepwise confidence interval method for toxic-ity study, and also in our paper, two methods of constructing intervals for the risk difference are proposed. The first one is based on the well-known conditional confidence intervals for odds ratio, and the other one comes from Santner“small-sample confidence intervals for the difference of two success probabilities”, and it produces exact intervals, through employing our method.

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Yu, N. , Tang, X. and Wang, H. (2013) Stepwise Confidence Interval Method for MTD Studies with Binomial Populations. Engineering, 5, 463-466. doi: 10.4236/eng.2013.510B095.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] J. C. Hsu and R. L. Berger, “Stepwise Confidence Intervals without Multiplicity Adjustment for Dose-Response and Toxicity Studies,” Journal of the American Statistical Association, Vol. 50, 1999, pp. 468-481.
[2] J. Tao, N.-Z. Shi, J.-H. Guo and W. Gao, “Stepwise Procedures for the Identification of Minimum Effective Dose with Unknown Variances,” Statistics & Probability Letters, Vol. 57, 2002, pp. 121-131.
[3] J. Tao and N.-Z. Shi, “Stepwise Procedures under Unknown Variances for Toxicological Evaluation,” Biometrical Journal, Vol. 44, 2002, pp. 149-160.<149::AID-BIMJ149>3.0.CO;2-#
[4] L. A. Hothorn, “Trend Tests in Epidemiology: P-Values or Confidence Intervals?” Biometrical Journal, Vol. 7, 1999, pp. 817-825.<817::AID-BIMJ817>3.0.CO;2-C
[5] T. J. Santner and S. Yamagami, “Invariant Small Sample Confidence Intervals for the Difference of Two Success Probabilities,” Communications in Statistics (Simulation and Computation), Vol. 22, 1993, pp. 33-59.
[6] X.-Q. Tang and M.-C. Tan, “Stepwise Confidence Interval Method for Finding Drug’S MED in Trial,” Journal of Shaoyang University, No. 2, 2008, pp. 15-17.
[7] X.-Q. Tang and H.-X. Wang, “Stepwise Confidence Interval Method for Finding Drug’s Minimum Effective Dose in Trial,” Drug Evaluation Research, Vol. 33, No. 1, 2010, pp. 58-62.

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