Sequential boundaries approach in clinical trials with unequal allocation ratios

<p>Abstract</p> <p>Background</p> <p>In clinical trials, both unequal randomization design and sequential analyses have ethical and economic advantages. In the single-stage-design (SSD), however, if the sample size is not adjusted based on unequal randomization, the pow...

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Main Authors: Ayatollahi Seyyed, Jafari Peyman, Behboodian Javad
Format: Article
Language:English
Published: BMC 2006-01-01
Series:BMC Medical Research Methodology
Online Access:http://www.biomedcentral.com/1471-2288/6/1
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author Ayatollahi Seyyed
Jafari Peyman
Behboodian Javad
author_facet Ayatollahi Seyyed
Jafari Peyman
Behboodian Javad
author_sort Ayatollahi Seyyed
collection DOAJ
description <p>Abstract</p> <p>Background</p> <p>In clinical trials, both unequal randomization design and sequential analyses have ethical and economic advantages. In the single-stage-design (SSD), however, if the sample size is not adjusted based on unequal randomization, the power of the trial will decrease, whereas with sequential analysis the power will always remain constant. Our aim was to compare sequential boundaries approach with the SSD when the allocation ratio (R) was not equal.</p> <p>Methods</p> <p>We evaluated the influence of R, the ratio of the patients in experimental group to the standard group, on the statistical properties of two-sided tests, including the two-sided single triangular test (TT), double triangular test (DTT) and SSD by multiple simulations. The average sample size numbers (ASNs) and power (1-β) were evaluated for all tests.</p> <p>Results</p> <p>Our simulation study showed that choosing R = 2 instead of R = 1 increases the sample size of SSD by 12% and the ASN of the TT and DTT by the same proportion. Moreover, when R = 2, compared to the adjusted SSD, using the TT or DTT allows to retrieve the well known reductions of ASN observed when R = 1, compared to SSD. In addition, when R = 2, compared to SSD, using the TT and DTT allows to obtain smaller reductions of ASN than when R = 1, but maintains the power of the test to its planned value.</p> <p>Conclusion</p> <p>This study indicates that when the allocation ratio is not equal among the treatment groups, sequential analysis could indeed serve as a compromise between ethicists, economists and statisticians.</p>
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spelling doaj.art-020c94578a2b4f3f909631816ca40a8f2022-12-21T23:20:14ZengBMCBMC Medical Research Methodology1471-22882006-01-0161110.1186/1471-2288-6-1Sequential boundaries approach in clinical trials with unequal allocation ratiosAyatollahi SeyyedJafari PeymanBehboodian Javad<p>Abstract</p> <p>Background</p> <p>In clinical trials, both unequal randomization design and sequential analyses have ethical and economic advantages. In the single-stage-design (SSD), however, if the sample size is not adjusted based on unequal randomization, the power of the trial will decrease, whereas with sequential analysis the power will always remain constant. Our aim was to compare sequential boundaries approach with the SSD when the allocation ratio (R) was not equal.</p> <p>Methods</p> <p>We evaluated the influence of R, the ratio of the patients in experimental group to the standard group, on the statistical properties of two-sided tests, including the two-sided single triangular test (TT), double triangular test (DTT) and SSD by multiple simulations. The average sample size numbers (ASNs) and power (1-β) were evaluated for all tests.</p> <p>Results</p> <p>Our simulation study showed that choosing R = 2 instead of R = 1 increases the sample size of SSD by 12% and the ASN of the TT and DTT by the same proportion. Moreover, when R = 2, compared to the adjusted SSD, using the TT or DTT allows to retrieve the well known reductions of ASN observed when R = 1, compared to SSD. In addition, when R = 2, compared to SSD, using the TT and DTT allows to obtain smaller reductions of ASN than when R = 1, but maintains the power of the test to its planned value.</p> <p>Conclusion</p> <p>This study indicates that when the allocation ratio is not equal among the treatment groups, sequential analysis could indeed serve as a compromise between ethicists, economists and statisticians.</p>http://www.biomedcentral.com/1471-2288/6/1
spellingShingle Ayatollahi Seyyed
Jafari Peyman
Behboodian Javad
Sequential boundaries approach in clinical trials with unequal allocation ratios
BMC Medical Research Methodology
title Sequential boundaries approach in clinical trials with unequal allocation ratios
title_full Sequential boundaries approach in clinical trials with unequal allocation ratios
title_fullStr Sequential boundaries approach in clinical trials with unequal allocation ratios
title_full_unstemmed Sequential boundaries approach in clinical trials with unequal allocation ratios
title_short Sequential boundaries approach in clinical trials with unequal allocation ratios
title_sort sequential boundaries approach in clinical trials with unequal allocation ratios
url http://www.biomedcentral.com/1471-2288/6/1
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AT jafaripeyman sequentialboundariesapproachinclinicaltrialswithunequalallocationratios
AT behboodianjavad sequentialboundariesapproachinclinicaltrialswithunequalallocationratios