Stepwise Confidence Interval Method for MTD Studies with Binomial Populations ()
Na Yu,
Xiaoqing Tang,
Hanxing Wang
Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai, China.
Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai, China
Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai, China.
School of Mathematics & Information, Shanghai Lixin University of Commerce, Shanghai, China.
DOI: 10.4236/eng.2013.510B095
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Abstract
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.
Share and Cite:
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.
References
[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.
http://dx.doi.org/10.1016/S0167-7152(01)00197-3
|
[3]
|
J. Tao and N.-Z. Shi, “Stepwise Procedures under Unknown Variances for Toxicological Evaluation,” Biometrical Journal, Vol. 44, 2002, pp. 149-160.
http://dx.doi.org/10.1002/1521-4036(200203)44:2<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.
http://dx.doi.org/10.1002/(SICI)1521-4036(199911)41:7<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.
|