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ক্ষেত্রবেইসীয়পরিসংখ্যানপরিসংখ্যান
পরিবারBayesian methodsHypothesis testHypothesis test
উদ্ভবের বছর200919772011
প্রবর্তকRouder, Speckman, Sun, Morey & IversonP. C. O'Brien & T. R. Fleming; P. C. PocockArnold et al. (2011); Green & MacLeod (2016) for mixed-model extension
ধরনBayesian hypothesis testSequential / adaptive hypothesis testSimulation-based (Monte Carlo)
মৌলিক উৎসRouder, J. N., Speckman, P. L., Sun, D., Morey, R. D. & Iverson, G. (2009). Bayesian t Tests for Accepting and Rejecting the Null Hypothesis. Psychonomic Bulletin & Review, 16(2), 225–237. 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 নামbayesian two-sample t-test, bayes factor t-test, Bayesçi t-Testisequential 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)
সম্পর্কিত556
সারসংক্ষেপThe Bayesian t-test, formalised by Rouder and colleagues in 2009, is a two-group comparison method that works within a Bayesian framework. Instead of a p-value, it produces a Bayes Factor (BF₁₀) that quantifies the evidence the data provide for the alternative hypothesis relative to the null, and it reports the full posterior distribution of the standardised effect size δ with a highest-density interval.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 t-Test · Sequential Analysis · Simulation-Based Power Analysis. 2026-06-15 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare