เปรียบเทียบวิธี

	การทดสอบแบบเบย์เซียนของฮุสแมน	แบบจำลองเบย์เซียนสำหรับผลกระทบสุ่ม
สาขาวิชา	เศรษฐมิติ	เศรษฐมิติ
ตระกูล	Regression model	Regression model
ปีกำเนิด	1978 (classical); Bayesian adaptations 1990s–2000s	1972–1995
ผู้ริเริ่ม	Bayesian reformulation of Hausman (1978); developed across Bayesian econometrics literature	Lindley & Smith (1972); extended by Gelman, Rubin and colleagues
ประเภท	Specification test / model comparison	Bayesian hierarchical panel model
แหล่งต้นตำรับ	Hausman, J. A. (1978). Specification tests in econometrics. Econometrica, 46(6), 1251–1271.	Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
ชื่อเรียกอื่น	Bayesian specification test, Bayesian endogeneity test, Bayesian FE vs RE test, Bayesian Durbin-Wu-Hausman	Bayesian hierarchical model, Bayesian mixed effects model, Bayesian multilevel model, BREM
ที่เกี่ยวข้อง	5	5
สรุป	The Bayesian Hausman test is a Bayesian reformulation of Hausman's (1978) classical specification test, used to assess endogeneity or to choose between fixed effects and random effects panel models. Instead of a chi-squared test statistic, it uses posterior model probabilities or Bayes factors to compare competing specifications, fully incorporating prior uncertainty about model parameters.	The Bayesian random effects model combines panel-data random effects with a Bayesian prior framework, allowing unit-specific effects to be treated as draws from a population distribution whose hyperparameters are estimated from the data. This produces regularised, uncertainty-quantified estimates that borrow strength across units — particularly valuable for short panels, sparse groups, or settings where frequentist variance-component estimation is unstable.