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| Phân tích phương sai đa biến Bayes (Bayesian MANOVA)× | Kiểm định t mẫu độc lập Bayes× | |
|---|---|---|
| Lĩnh vực | Thống kê | Thống kê |
| Họ | Hypothesis test | Hypothesis test |
| Năm ra đời≠ | 1970s–2010s | 2009 (modern form); 1961 (Jeffreys prior framework) |
| Người khởi xướng≠ | Bayesian framework applied to MANOVA; foundational multivariate Bayesian work by Dickey (1974) and Rouder et al. (2012) | Harold Jeffreys (foundational); operationalized by Rouder et al. |
| Loại≠ | Bayesian multivariate group comparison | Bayesian hypothesis test |
| Công trình gốc≠ | Olkin, I., & Rubin, H. (1964). Multivariate beta distributions and independence properties of the Wishart distribution. The Annals of Mathematical Statistics, 35(1), 261–269. DOI ↗ | 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. DOI ↗ |
| Tên gọi khác | Bayesian MANOVA, Bayesian multivariate ANOVA, BF-MANOVA, Bayesian multivariate group comparison | Bayesian two-sample t-test, Bayes factor t-test, JZS t-test, Bayesian unpaired t-test |
| Liên quan≠ | 5 | 3 |
| Tóm tắt≠ | Bayesian Multivariate Analysis of Variance (Bayesian MANOVA) extends the classical MANOVA framework by replacing null-hypothesis significance testing with Bayesian inference. It uses prior distributions on multivariate group means and covariance structures, updates them with data to yield posterior distributions, and quantifies evidence through Bayes factors rather than p-values. | The Bayesian independent samples t-test quantifies evidence for or against a mean difference between two independent groups using a Bayes factor rather than a p-value. Rooted in Jeffreys's probability framework and popularized by Rouder et al. (2009), it places a Cauchy prior on the standardized effect size and returns continuous evidence for both the null and alternative hypotheses. |
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