. 2022 Jun 10;88(1):1–30. doi: 10.1007/s11336-022-09869-3

Table 2.

Posterior Means and Standard Deviations (SD) of Coefficients for Case Study 1 (Single-Level Model).

Cycle	Method $^{1}$	Intercept		FEMALE		PARED		HOMEPOS		IMMIG
Cycle	Method $^{1}$	Mean	SD	Mean	SD	Mean	SD	Mean	SD	Mean	SD
2003	BLR non inf	416.89	6.74	$-$ 9.49	2.24	3.62	0.49	33.54	1.23	12.08	3.52
2006	BLR non inf	387.85	6.88	$-$ 12.86	2.20	6.61	0.49	25.91	1.22	8.04	3.15
2009	BLR non inf	417.92	6.88	$-$ 17.22	2.29	5.17	0.51	27.71	1.27	3.85	3.00
2012	BLR non inf	408.43	6.90	$-$ 8.58	2.34	5.62	0.52	21.17	1.17	$-$ 5.65	3.12
2015	BLR non inf	405.80	5.93	$-$ 8.87	2.19	4.72	0.46	19.61	1.07	$-$ 0.23	2.78
2018	BLR non inf	426.29	7.64	$-$ 7.21	2.42	4.68	0.54	25.02	1.14	$-$ 18.29	3.15
	BLR inf	419.55	5.13	$-$ 9.51	1.68	4.66	0.35	25.14	0.79	$-$ 7.75	2.12
	BLR pooling	411.46	2.78	$-$ 10.57	0.96	5.00	0.21	25.00	0.46	0.34	1.25
	BDB IG(1,1)	426.52	7.40	$-$ 7.24	2.36	4.66	0.53	25.03	1.11	$-$ 18.22	3.07
	BDB IG(1,.1)	426.23	7.24	$-$ 7.11	2.39	4.67	0.51	25.01	1.11	$-$ 18.09	3.05
	BDB IG(1,.001)	425.41	6.58	$-$ 8.05	2.15	4.68	0.46	25.03	1.08	$-$ 16.62	3.04
	PP (.25)	416.67	4.55	$-$ 9.51	1.56	4.87	0.33	25.15	0.77	$-$ 5.74	2.04
	PP (.50)	413.72	3.71	$-$ 10.10	1.25	4.94	0.27	25.07	0.63	$-$ 2.20	1.63
	PP (.75)	412.12	3.14	$-$ 10.37	1.08	4.99	0.23	25.02	0.54	$-$ 0.57	1.45

$^{1}$ BLR non inf: Bayesian linear regression with non-informative prior; BLR inf: Bayesian linear regression with informative prior; BDB: Bayesian dynamic borrowing; IG: inverse-gamma prior for the variance of the joint prior distribution, which determines the degree of borrowing; PP: power prior.