Sequential hypothesis testing with Bayes factors: Efficiently testing mean differences.
Ludwig-Maximilians-Universität München · University of Amsterdam · +1 more institution
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Abstract
(SBFs), Bayes factors are computed until an a priori defined level of evidence is reached. This allows flexible sampling plans and is not dependent upon correct effect size guesses in an a priori power analysis. We investigated the long-term rate of misleading evidence, the average expected sample sizes, and the biasedness of effect size estimates when an SBF design is applied to a test of mean differences between 2 groups. Compared with optimal NHST, the SBF design typically needs 50% to 70% smaller samples to reach a conclusion about the presence of an effect, while having the same or lower long-term rate of wrong inference. (PsycINFO Database Record
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Topics
Keywords
- Bayes factor
- Bayes' theorem
- Statistics
- Statistical hypothesis testing
- Type I and type II errors
- Sample size determination
- Null hypothesis
- Sequential analysis
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