A special feature of Probability and Statistics Day at UMBC 2013 is that the conference, including the workshop, is open to all statistics graduate students
from UMBC and local universites free of charge; however, REGISTRATION IS REQUIRED! The deadline to register is Friday,
April 12, 2013. // REGISTER NOW
For more information, contact any member of the organizing committee:
Bimal Sinha
Conference Chair
443.538.3012
Kofi Adragni
410.455.2406
Yvonne Huang
410.455.2422
Yaakov Malinovsky
410.455.2968
Thomas Mathew
410.455.2418
Nagaraj Neerchal
410.455.2437
DoHwan Park
410.455.2408
Junyong Park
410.455.2407
Anindya Roy
410.455.2435
Elizabeth Stanwyck
410.455.5731
Participant Information
Yu-Wei Chang
Paper: SAMPLE SIZE DETERMINATION FOR A THREE-ARM EQUIVALENCE TRIAL OF NORMALLY DISTRIBUTED RESPONSES
In a three-arm clinical trial (namely test, reference and placebo), an equivalence assessment may be carried out by demonstrating superiority of test and reference drugs to placebo, as well as having the equivalent mean effects of test and reference drugs. One may also assess the equivalence by comparing the ratio of mean difference between the test drug and the placebo to mean difference between the reference drug and the placebo. This equivalence assessment problem can be performed with the hypothesis testing approach. In addition, when determining sample size by a hypothesis test, one may solve the power function for the sample size based on either exact t-test or approximate normal test. The sample size will become a function of the given type I error rate, power, the expected ratio value in the alternative space, the variance, the upper and lower equivalence margins, and the unknown mean values of the reference drug and the placebo. If historical reference-placebo trials are available, we can define the mean range for both the reference drug and the placebo while calculating the sample size. In this paper, we will show that the sample sizes for exact t-test and approximate normal test are very similar and this will be illustrated with examples.
