Table 4.
Effect | b | 95% HPD | Posterior SD | Prior distribution |
---|---|---|---|---|
αintercept | 1.707 | [1.587, 1.831] | 0.063 | norm(1.6, 0.277) |
ψintercept | 1.434 | [1.149, 1.743] | 0.152 | wish(iden, 3) |
αslope | 0.029 | [0.021, 0.037] | 0.004 | norm(1.6, 0.277) |
ψslope | 0.006 | [0.005, 0.007] | 0.000 | wish(iden, 3) |
Cov(i, s) | −0.019 | [ − 0.030, −0.008] | 0.006 | wish(iden, 3) |
Note. αintercept and ψintercept are the mean and variance of the intercept respectively. The corresponding terms for the slope are αslope and ψslope. Cov(i, s) is the covariance between the intercept and slope. HPD = Highest Posterior Density interval. Prior distributions are represented by the functions used to create them. For example norm(x, y) represents a normal distribution with M = x, and a precision of y. The precision is used rather than the standard deviation to be consistent with the convention in JAGS (the engine behind the Bayesian estimation process). To convert the value to the standard deviation use .