Minimum important difference is minimally important in sample size calculations

Abstract Performing a sample size calculation for a randomized controlled trial requires specifying an assumed benefit (that is, the mean improvement in outcomes due to the intervention) and a target power. There is a widespread belief that judgments about the minimum important difference should be...

Full description

Bibliographic Details
Main Author: Hubert Wong
Format: Article
Language:English
Published: BMC 2023-01-01
Series:Trials
Subjects:
Online Access:https://doi.org/10.1186/s13063-023-07092-8
_version_ 1797945747937689600
author Hubert Wong
author_facet Hubert Wong
author_sort Hubert Wong
collection DOAJ
description Abstract Performing a sample size calculation for a randomized controlled trial requires specifying an assumed benefit (that is, the mean improvement in outcomes due to the intervention) and a target power. There is a widespread belief that judgments about the minimum important difference should be used when setting the assumed benefit and thus the sample size. This belief is misguided — when the purpose of the trial is to test the null hypothesis of no treatment benefit, the only role that the minimum important difference should be given is in determining whether the sample size should be zero, that is, whether the trial should be conducted at all. The true power of the trial depends on the true benefit, so the calculated sample size will result in a true power close to the target power used in the calculation only if the assumed benefit is close to the true benefit. Hence, the assumed benefit should be set to a value that is considered a realistic estimate of the true benefit. If a trial designed using a realistic value for the assumed benefit is unlikely to demonstrate that a meaningful benefit exists, the trial should not be conducted. Any attempt to reconcile discrepancies between the realistic estimate of benefit and the minimum important difference when setting the assumed benefit merely conflates a valid sample size calculation with one based on faulty inputs and leads to a true power that fails to match the target power. When calculating sample size, trial designers should focus efforts on determining reasonable estimates of the true benefit, not on what magnitude of benefit is judged important.
first_indexed 2024-04-10T21:00:01Z
format Article
id doaj.art-8670eaf50a8b43d68bf80bb5d29e33f1
institution Directory Open Access Journal
issn 1745-6215
language English
last_indexed 2024-04-10T21:00:01Z
publishDate 2023-01-01
publisher BMC
record_format Article
series Trials
spelling doaj.art-8670eaf50a8b43d68bf80bb5d29e33f12023-01-22T12:24:21ZengBMCTrials1745-62152023-01-012411410.1186/s13063-023-07092-8Minimum important difference is minimally important in sample size calculationsHubert Wong0School of Population & Public Health, University of British ColumbiaAbstract Performing a sample size calculation for a randomized controlled trial requires specifying an assumed benefit (that is, the mean improvement in outcomes due to the intervention) and a target power. There is a widespread belief that judgments about the minimum important difference should be used when setting the assumed benefit and thus the sample size. This belief is misguided — when the purpose of the trial is to test the null hypothesis of no treatment benefit, the only role that the minimum important difference should be given is in determining whether the sample size should be zero, that is, whether the trial should be conducted at all. The true power of the trial depends on the true benefit, so the calculated sample size will result in a true power close to the target power used in the calculation only if the assumed benefit is close to the true benefit. Hence, the assumed benefit should be set to a value that is considered a realistic estimate of the true benefit. If a trial designed using a realistic value for the assumed benefit is unlikely to demonstrate that a meaningful benefit exists, the trial should not be conducted. Any attempt to reconcile discrepancies between the realistic estimate of benefit and the minimum important difference when setting the assumed benefit merely conflates a valid sample size calculation with one based on faulty inputs and leads to a true power that fails to match the target power. When calculating sample size, trial designers should focus efforts on determining reasonable estimates of the true benefit, not on what magnitude of benefit is judged important.https://doi.org/10.1186/s13063-023-07092-8Clinical trialPowerEffect sizeAssumed benefit
spellingShingle Hubert Wong
Minimum important difference is minimally important in sample size calculations
Trials
Clinical trial
Power
Effect size
Assumed benefit
title Minimum important difference is minimally important in sample size calculations
title_full Minimum important difference is minimally important in sample size calculations
title_fullStr Minimum important difference is minimally important in sample size calculations
title_full_unstemmed Minimum important difference is minimally important in sample size calculations
title_short Minimum important difference is minimally important in sample size calculations
title_sort minimum important difference is minimally important in sample size calculations
topic Clinical trial
Power
Effect size
Assumed benefit
url https://doi.org/10.1186/s13063-023-07092-8
work_keys_str_mv AT hubertwong minimumimportantdifferenceisminimallyimportantinsamplesizecalculations