From: A random effects meta-analysis model with Box-Cox transformation
Random effects | Â | Â | Â | Normalised | Ratio of |
---|---|---|---|---|---|
distribution | Scenario | True parameter | Median | IQR | IQR squares |
Scenario 1-3: Normal distribution (N) | |||||
N(mean,variance) | 1 | N(0,0.15812) | 0.000 | 0.025 | 20.0% |
 | 2 | N(0,0.25822) | 0.000 | 0.067 | 40.0% |
 | 3 | N(0,0.63252) | 0.000 | 0.400 | 80.0% |
Scenario 4-6: Skew-normal distribution with moderate positive skewness (pSN1) | |||||
SN(location,scale,slant) | 4 | S N(−0.1724,0.2547,5) | 0.000 | 0.025 | 20.0% |
 | 5 | S N(−0.2812,0.4159,5) | 0.000 | 0.067 | 40.0% |
 | 6 | S N(−0.6883,1.0198,5) | 0.000 | 0.400 | 80.0% |
Scenario 7-9: Skew-normal distribution with large positive skewness (pSN2) | |||||
SN(location,scale,slant) | 7 | S N(−0.1734,0.2557,20) | 0.000 | 0.025 | 20.0% |
 | 8 | S N(−0.2829,0.4192,20) | 0.000 | 0.067 | 40.0% |
 | 9 | S N(−0.6923,1.0258,20) | 0.000 | 0.400 | 80.0% |
Scenario 10-12: Skew-normal distribution with moderate negative skewness (nSN1) | |||||
SN(location,scale,slant) | 10 | S N(0.1715,0.2546,−5) | 0.000 | 0.025 | 20.0% |
 | 11 | S N(0.2803,0.4154,−5) | 0.000 | 0.067 | 40.0% |
 | 12 | S N(0.6874,1.0195,−5) | 0.000 | 0.400 | 80.0% |
Scenario 13-15: Skew-normal distribution with large negative skewness (nSN2) | |||||
SN(location,scale,slant) | 13 | S N(0.1725,0.2556,−20) | 0.000 | 0.025 | 20.0% |
 | 14 | S N(0.2820,0.4191,−20) | 0.000 | 0.067 | 40.0% |
 | 15 | S N(0.6914,1.0255,−20) | 0.000 | 0.400 | 80.0% |
Scenario 16-18: Shifted exponential distribution (EXP) | |||||
EXP(rate,shift) | 16 | E X P(5.1507,−0.1348) | 0.000 | 0.025 | 20.0% |
 | 17 | E X P(3.1542,−0.2202) | 0.000 | 0.067 | 40.0% |
 | 18 | E X P(1.2877,−0.5377) | 0.000 | 0.400 | 80.0% |
Scenario 19-21: Shifted log-normal distribution (LN) | |||||
LN(mean,variance,shift) | 19 | L N(0,0.15782,−1) | 0.000 | 0.025 | 20.0% |
 | 20 | L N(0,0.25692,−1) | 0.000 | 0.067 | 40.0% |
 | 21 | L N(0,0.61472,−1) | 0.000 | 0.400 | 80.0% |