השוואת שיטות
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| מבחן t בייסיאני למדגמים בלתי תלויים× | מבחן t בייסיאני לדגימה אחת× | |
|---|---|---|
| תחום | סטטיסטיקה | סטטיסטיקה |
| משפחה | Hypothesis test | Hypothesis test |
| שנת המקור≠ | 2009 (modern form); 1961 (Jeffreys prior framework) | 2009 |
| הוגה השיטה≠ | Harold Jeffreys (foundational); operationalized by Rouder et al. | Rouder, Speckman, Sun, Morey & Iverson |
| סוג≠ | Bayesian hypothesis test | Bayesian mean-vs-constant comparison |
| מקור מכונן | 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 ↗ | 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 ↗ |
| כינויים | Bayesian two-sample t-test, Bayes factor t-test, JZS t-test, Bayesian unpaired t-test | Bayesian single-sample t-test, Bayes factor one-sample t-test, JZS one-sample Bayes factor, Bayesian location test |
| קשורות≠ | 3 | 2 |
| תקציר≠ | 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. | The Bayesian one-sample t-test compares a single group's mean against a fixed reference value using a Bayes factor rather than a p-value. It quantifies the evidence the data provide for the null hypothesis (mean equals the reference) versus the alternative, and yields a full posterior distribution over the effect size — enabling statements about practical magnitude, not just a binary reject-or-retain decision. |
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