scholarly journals Sample size determination for group sequential test under fractional Brownian motion

2013 ◽  
Vol 7 (0) ◽  
pp. 1957-1967 ◽  
Author(s):  
Dejian Lai
Keyword(s):  
Brownian Motion ◽  
Sample Size ◽  
Fractional Brownian Motion ◽  
Sequential Test ◽  
Sample Size Determination ◽  
Size Determination ◽  
Group Sequential ◽  
Group Sequential Test

scholarly journals Sample size determination in group-sequential clinical trials with two co-primary endpoints

2014 ◽  
Vol 33 (17) ◽  
pp. 2897-2913 ◽  
Author(s):  
Koko Asakura ◽  
Toshimitsu Hamasaki ◽  
Tomoyuki Sugimoto ◽  
Kenichi Hayashi ◽  
Scott R. Evans ◽  
...  
Keyword(s):  
Clinical Trials ◽  
Sample Size ◽  
Sample Size Determination ◽  
Size Determination ◽  
Group Sequential ◽  
Primary Endpoints

Adaptive, group sequential and decision theoretic approaches to sample size determination

2006 ◽  
Vol 25 (19) ◽  
pp. 3250-3269 ◽  
Author(s):  
Cyrus R. Mehta ◽  
Nitin R. Patel
Keyword(s):  
Sample Size ◽  
Sample Size Determination ◽  
Size Determination ◽  
Group Sequential

Procedure for determining sample size at each stage in group sequential test

2000 ◽  
Vol 29 (3) ◽  
pp. 987-1000
Author(s):  
Tsunehisa Imada ◽  
Hideyuki Douke
Keyword(s):  
Sample Size ◽  
Sequential Test ◽  
Group Sequential ◽  
Group Sequential Test

Sample size determination for group sequential clinical trials with immediate response

1992 ◽  
Vol 11 (10) ◽  
pp. 1391-1399 ◽  
Author(s):  
Kyungmann Kim ◽  
David L. Demets
Keyword(s):  
Clinical Trials ◽  
Sample Size ◽  
Sample Size Determination ◽  
Size Determination ◽  
Group Sequential ◽  
Immediate Response

scholarly journals Fuzzy Approach for Group Sequential Test

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Duygu İçen ◽  
Sevil Bacanlı ◽  
Süleyman Günay
Keyword(s):  
Sample Size ◽  
Fuzzy Numbers ◽  
Sequential Test ◽  
Test Statistics ◽  
Fuzzy Approach ◽  
Group Sequential ◽  
Group Sequential Test ◽  
Fixed Sample ◽  
Sequential Tests ◽  
Group Sequential Tests

Buckley’s approach (Buckley (2004), (2005), (2006)) uses sets of confidence intervals by taking into consideration both of the uncertainty and impreciseness of concepts that produce triangular shaped fuzzy numbers for the estimator. This approach produces fuzzy test statistics and fuzzy critical values in hypothesis testing. In addition, the sample size is fixed for this test. When data comes sequentially, however, it is not suitable to study with a fixed sample size test. In such cases, sequential and group sequential tests are recommended. Unlike a sequential test, a group of sequential test provides substantial savings in sample and enables us to make decisions as early as possible. This intends paper to combine the benefits of group sequential test and Buckley's approach usingα-cuts. It attempts to show that usingα-cuts can be used within the group sequential tests. To illustrate the test more explicitly a numerical example is also given.

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