Sample size requirements are not being considered in studies developing prediction models for binary outcomes: a systematic review

Abstract Background Having an appropriate sample size is important when developing a clinical prediction model. We aimed to review how sample size is considered in studies developing a prediction model for a binary outcome. Methods We searched PubMed for studies published between 01/07/2020 and 30/0...

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Main Authors: Paula Dhiman, Jie Ma, Cathy Qi, Garrett Bullock, Jamie C Sergeant, Richard D Riley, Gary S Collins
Format: Article
Language:English
Published: BMC 2023-08-01
Series:BMC Medical Research Methodology
Subjects:
Online Access:https://doi.org/10.1186/s12874-023-02008-1
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author Paula Dhiman
Jie Ma
Cathy Qi
Garrett Bullock
Jamie C Sergeant
Richard D Riley
Gary S Collins
author_facet Paula Dhiman
Jie Ma
Cathy Qi
Garrett Bullock
Jamie C Sergeant
Richard D Riley
Gary S Collins
author_sort Paula Dhiman
collection DOAJ
description Abstract Background Having an appropriate sample size is important when developing a clinical prediction model. We aimed to review how sample size is considered in studies developing a prediction model for a binary outcome. Methods We searched PubMed for studies published between 01/07/2020 and 30/07/2020 and reviewed the sample size calculations used to develop the prediction models. Using the available information, we calculated the minimum sample size that would be needed to estimate overall risk and minimise overfitting in each study and summarised the difference between the calculated and used sample size. Results A total of 119 studies were included, of which nine studies provided sample size justification (8%). The recommended minimum sample size could be calculated for 94 studies: 73% (95% CI: 63–82%) used sample sizes lower than required to estimate overall risk and minimise overfitting including 26% studies that used sample sizes lower than required to estimate overall risk only. A similar number of studies did not meet the ≥ 10EPV criteria (75%, 95% CI: 66–84%). The median deficit of the number of events used to develop a model was 75 [IQR: 234 lower to 7 higher]) which reduced to 63 if the total available data (before any data splitting) was used [IQR:225 lower to 7 higher]. Studies that met the minimum required sample size had a median c-statistic of 0.84 (IQR:0.80 to 0.9) and studies where the minimum sample size was not met had a median c-statistic of 0.83 (IQR: 0.75 to 0.9). Studies that met the ≥ 10 EPP criteria had a median c-statistic of 0.80 (IQR: 0.73 to 0.84). Conclusions Prediction models are often developed with no sample size calculation, as a consequence many are too small to precisely estimate the overall risk. We encourage researchers to justify, perform and report sample size calculations when developing a prediction model.
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spelling doaj.art-3a6129ed94174161ad89c5c14fff47aa2023-11-20T09:49:28ZengBMCBMC Medical Research Methodology1471-22882023-08-0123111110.1186/s12874-023-02008-1Sample size requirements are not being considered in studies developing prediction models for binary outcomes: a systematic reviewPaula Dhiman0Jie Ma1Cathy Qi2Garrett Bullock3Jamie C Sergeant4Richard D Riley5Gary S Collins6Centre for Statistics in Medicine, Nuffield Department of Orthopaedics, Rheumatology and Musculoskeletal Sciences, University of OxfordCentre for Statistics in Medicine, Nuffield Department of Orthopaedics, Rheumatology and Musculoskeletal Sciences, University of OxfordPopulation Data Science, Faculty of Medicine, Health and Life Science, Swansea University Medical School, Swansea UniversityDepartment of Orthopaedic Surgery, Wake Forest School of MedicineCentre for Biostatistics, University of Manchester, Manchester Academic Health Science CentreInstitute of Applied Health Research, College of Medical and Dental Sciences, University of BirminghamCentre for Statistics in Medicine, Nuffield Department of Orthopaedics, Rheumatology and Musculoskeletal Sciences, University of OxfordAbstract Background Having an appropriate sample size is important when developing a clinical prediction model. We aimed to review how sample size is considered in studies developing a prediction model for a binary outcome. Methods We searched PubMed for studies published between 01/07/2020 and 30/07/2020 and reviewed the sample size calculations used to develop the prediction models. Using the available information, we calculated the minimum sample size that would be needed to estimate overall risk and minimise overfitting in each study and summarised the difference between the calculated and used sample size. Results A total of 119 studies were included, of which nine studies provided sample size justification (8%). The recommended minimum sample size could be calculated for 94 studies: 73% (95% CI: 63–82%) used sample sizes lower than required to estimate overall risk and minimise overfitting including 26% studies that used sample sizes lower than required to estimate overall risk only. A similar number of studies did not meet the ≥ 10EPV criteria (75%, 95% CI: 66–84%). The median deficit of the number of events used to develop a model was 75 [IQR: 234 lower to 7 higher]) which reduced to 63 if the total available data (before any data splitting) was used [IQR:225 lower to 7 higher]. Studies that met the minimum required sample size had a median c-statistic of 0.84 (IQR:0.80 to 0.9) and studies where the minimum sample size was not met had a median c-statistic of 0.83 (IQR: 0.75 to 0.9). Studies that met the ≥ 10 EPP criteria had a median c-statistic of 0.80 (IQR: 0.73 to 0.84). Conclusions Prediction models are often developed with no sample size calculation, as a consequence many are too small to precisely estimate the overall risk. We encourage researchers to justify, perform and report sample size calculations when developing a prediction model.https://doi.org/10.1186/s12874-023-02008-1Sample sizeMethodologyPrediction model
spellingShingle Paula Dhiman
Jie Ma
Cathy Qi
Garrett Bullock
Jamie C Sergeant
Richard D Riley
Gary S Collins
Sample size requirements are not being considered in studies developing prediction models for binary outcomes: a systematic review
BMC Medical Research Methodology
Sample size
Methodology
Prediction model
title Sample size requirements are not being considered in studies developing prediction models for binary outcomes: a systematic review
title_full Sample size requirements are not being considered in studies developing prediction models for binary outcomes: a systematic review
title_fullStr Sample size requirements are not being considered in studies developing prediction models for binary outcomes: a systematic review
title_full_unstemmed Sample size requirements are not being considered in studies developing prediction models for binary outcomes: a systematic review
title_short Sample size requirements are not being considered in studies developing prediction models for binary outcomes: a systematic review
title_sort sample size requirements are not being considered in studies developing prediction models for binary outcomes a systematic review
topic Sample size
Methodology
Prediction model
url https://doi.org/10.1186/s12874-023-02008-1
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