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

Table 5.

Posterior means of variation parameters for case study 2 (multilevel model).

Cycle Method1 Level-1 SD Level-2 Var.-Intercept Level-2 Covar. Level-2 Var.-FEMALE
2003 BLR non inf 77.12 1069.02 -35.54 10.40
2006 BLR non inf 76.42 1185.44 -16.86 7.98
2009 BLR non inf 73.83 1358.10 3.57 10.67
2012 BLR non inf 74.35 1221.41 -11.83 4.43
2015 BLR non inf 78.41 1152.04 -55.28 18.66
2018 BLR non inf 79.21 949.58 -39.44 37.80
BLR inf 79.22 951.49 -36.50 34.35
BLR pooling 76.56 1255.06 -73.36 16.36
BDB IG(1,1) W2 76.48 972.51 -42.84 10.16
BDB IG(1,.1) W2 76.48 974.05 -40.97 9.71
BDB IG(1,.001) W2 76.48 971.30 -42.69 9.82
BDB IG(1,1) W20 76.47 1016.67 -57.70 15.22
BDB IG(1,.1) W20 76.47 1015.61 -59.58 15.66
BDB IG(1,.001) W20 76.46 1011.85 -57.25 14.68
PP (.25) 79.88 618.45 -14.61 6.33
PP (.5) 77.99 974.91 -26.88 5.70
PP (.75) 77.08 1151.31 -49.57 9.43

1BLR non inf: Bayesian linear regression with non-informative priors; BLR inf: Bayesian linear regression with informative priors; BDB: Bayesian dynamic borrowing; IG: inverse-gamma prior for level-1 variance of the joint prior distribution, which determines the degree of level-1 borrowing; W2: Wishart prior with weak borrowing for level-2 precision matrix (results were converted back the covariance matrix); W20: Wishart prior with strong borrowing for level-2 precision matrix (results were converted back the covariance matrix); PP: power priors.