BayesLens Free
Single-Sample Proportion
Reference: Rouder, 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.
BayesLens Free — Online Bayesian Calculator for Students
BayesLens Free is an interactive educational tool that helps psychology, social science, and research students explore Bayesian hypothesis testing. Designed for simplicity and accessibility, this free version includes:
Single-Sample Bayesian Binomial Test
Test proportions with a Bayesian framework using a fixed Beta prior. Enter the number of successes and trials, and instantly calculate your Bayes Factor (BF₁₀), credible intervals, and posterior distribution plot.Independent-Samples Bayesian T-Test
Compare means between two groups using a default Cauchy prior (JZS prior, Rouder et al., 2009). Enter your group means, standard deviations, and sample sizes — and instantly receive a Bayes Factor indicating whether your data favours the null or alternative hypothesis.Evidence Strength Interpretation
BayesLens Free automatically classifies your results as anecdotal, moderate, strong, or extreme evidence — helping you interpret your Bayes Factors without needing advanced statistical training.
BayesLens Free is perfect for students learning:
Bayesian inference
Bayesian t-tests and binomial tests
Psychology statistics
APA-style reporting and interpretation
Bayesian model comparison
✅ No registration
✅ Simple interface
✅ Real-time Bayesian calculations
✅ Student-focused design
Upgrade to BayesLens Premium — Unlock the Full Research Suite
For advanced coursework, dissertations, thesis writing, and professional research, BayesLens Premium offers a comprehensive psychology stats toolkit:
✅ Custom priors for both binomial and t-tests
✅ Two-sample Bayesian binomial tests
✅ Full APA 7th Edition write-up generator for instant reporting
✅ Advanced effect size calculations, credible intervals, and publication-ready output
✅ APA Method Section Generator — automated method sections for dissertations and publications
✅ APA Ethics Checklist & IRB support tools
✅ Sample size calculators and power visualizers
✅ Regression Assumption Checker & Statistical Test Advisor
✅ APA Graph Maker, Table Generator, Citation Formatter, Informed Consent Form Builder
✅ All-in-one psychology research support package
BayesLens Premium is designed for:
🔬 Undergraduate & graduate psychology students
📊 Thesis & dissertation writers
🎓 Instructors & teaching assistants
🧪 Research methods courses
📝 APA-style academic writing