Table 3.
Empirical bias (×1,000) and coverage rate (%) of 95% credible interval of Bayesian estimates of the indirect effect. N1 and N2 denote the sample size of the first-level units and second-level units, respectively. Numbers in the parentheses are coverage rates.
| α = β = 0.3 | α = β = 0.6 | |||||
|---|---|---|---|---|---|---|
| N1 | σαjβj = −0.113 | σαjβj = 0 | σαjβj = 0.113 | σαjβj = −0.113 | σαjβj = 0 | σαjβj = 0.113 |
| N2 = 25 | ||||||
| 4 | 2 (86.1) | 0 (88.8) | −12 (87.1) | 7 (90.6) | 4 (90.9) | −10 (89.7) |
| 8 | −19 (91.3) | 4 (82.7) | 17 (91.5) | 16 (89.1) | 4 (88.5) | 12 (91.8) |
| 16 | −22 (90.1) | −3 (91.2) | 22 (92.0) | 19 (89.9) | 0 (93.4) | 21 (94.2) |
| N2 = 50 | ||||||
| 4 | 6 (88.6) | 1 (81.4) | 6 (91.5) | −7 (89.7) | −8 (86.8) | 6 (92.6) |
| 8 | −19 (90.4) | −1 (88.6) | 17 (91.3) | −13 (91.7) | −1 (93.1) | 12 (94.4) |
| 16 | 13 (94.0) | 1 (94.4) | 13 (94.0) | −11 (93.0) | −4 (93.4) | 11 (94.5) |
| N2 = 100 | ||||||
| 4 | −11 (93.6) | 2 (85.6) | 12 (93.1) | −10 (90.5) | −2 (90.1) | 12 (94.0) |
| 8 | 12 (92.3) | −1 (93.7) | 12 (92.3) | −10 (93.6) | −1 (95.5) | 8 (95.8) |
| 16 | −5 (94.8) | 0 (94.3) | 6 (95.3) | −4 (94.5) | 0 (94.8) | 4 (95.1) |