Linganisha mbinu

	Kipimo cha Hausman cha Bayesian	Muundo wa Athari Zilizofungwa wa Kibayesiani
Nyanja	Ekonometriki	Ekonometriki
Familia	Regression model	Regression model
Mwaka wa asili	1978 (classical); Bayesian adaptations 1990s–2000s	2000–2008
Mwanzilishi	Bayesian reformulation of Hausman (1978); developed across Bayesian econometrics literature	Chib (2008); Lancaster (2000)
Aina	Specification test / model comparison	Bayesian panel regression
Chanzo asilia	Hausman, J. A. (1978). Specification tests in econometrics. Econometrica, 46(6), 1251–1271.	Lancaster, T. (2000). The incidental parameter problem since 1948. Journal of Econometrics, 95(2), 391–413.
Majina mbadala	Bayesian specification test, Bayesian endogeneity test, Bayesian FE vs RE test, Bayesian Durbin-Wu-Hausman	Bayesian within estimator, Bayesian FE model, Bayesian individual fixed effects, Bayesian least squares dummy variable
Zinazohusiana	5	5
Muhtasari	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 fixed effects model applies Bayesian inference to the classical within-group panel estimator. Unit-specific intercepts capture time-invariant unobserved heterogeneity, while prior distributions on all parameters allow probability statements about coefficients and full uncertainty quantification via the posterior distribution.