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ক্ষেত্রপরিসংখ্যানপরিসংখ্যানপরিসংখ্যান
পরিবারHypothesis testHypothesis testHypothesis test
উদ্ভবের বছর198619772011
প্রবর্তকSpiegelhalter & Freedman (1986); O'Hagan, Stevens & Campbell (2005)P. C. O'Brien & T. R. Fleming; P. C. PocockArnold et al. (2011); Green & MacLeod (2016) for mixed-model extension
ধরনBayesian sample size determinationSequential / adaptive hypothesis testSimulation-based (Monte Carlo)
মৌলিক উৎসO'Hagan, A., Stevens, J.W. & Campbell, M.J. (2005). Assurance in Clinical Trial Design. Pharmaceutical Statistics, 4(3), 187–201. DOI ↗O'Brien, P.C. & Fleming, T.R. (1979). A Multiple Testing Procedure for Clinical Trials. Biometrics, 35(3), 549–556. DOI ↗Arnold, B.F. et al. (2011). Simulation Methods to Estimate Design Power: An Overview for Applied Research. BMC Medical Research Methodology, 11, 94. DOI ↗
অপর নামassurance, bayesian sample size determination, bayesian assurance, Bayesian Güç Analizi (Assurance / Bayesian Sample Size)sequential testing, group sequential design, interim analysis, Sıralı Analiz (Sequential Testing / Group Sequential Design)Monte Carlo power analysis, Monte Carlo simulation power, MC power, Simülasyon Tabanlı Güç Analizi (Monte Carlo Power)
সম্পর্কিত356
সারসংক্ষেপBayesian power analysis — also called assurance — is a sample size determination method that replaces the frequentist notion of power with a probability-weighted average over a prior distribution on the effect size. First formalised by Spiegelhalter and Freedman (1986) and further developed by O'Hagan, Stevens and Campbell (2005), it answers the question: given our current uncertainty about the true effect, what sample size gives us a high overall probability of obtaining a statistically significant result?Sequential analysis is a framework for conducting hypothesis tests with pre-planned interim looks at accumulating data, allowing a study to stop early for efficacy or futility while controlling the overall Type I error rate. The group sequential approach was formalised by Pocock (1977) and O'Brien and Fleming (1979), and remains the standard for confirmatory clinical trials and rigorous A/B experiments.Simulation-based power analysis estimates the statistical power and required sample size of a study by repeating a full analysis pipeline thousands of times on artificially generated data. Because it relies on Monte Carlo simulation rather than closed-form equations, it is applicable to designs — mixed models, complex measurement structures, non-standard outcomes — where analytical power formulas do not exist. The approach was systematically described for applied research by Arnold et al. in 2011, and the mixed-model implementation via the SIMR package was formalised by Green and MacLeod in 2016.
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ScholarGateপদ্ধতির তুলনা করুন: Bayesian Power Analysis · Sequential Analysis · Simulation-Based Power Analysis. 2026-06-15 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare