Table 4.
Conversion of DerSimonian-Laird results into Hartung-Knapp-Sidik-Jonkman results for a logarithm based outcome: hazard ratios
|
DerSimonian and Laird results |
Calculations for Hartung-Knapp-Sidik Jonkman
|
||||
|---|---|---|---|---|---|
| Study | Study results HR y i | Weights w i | ln(y i ) | (ln(y i )–ln(y)) 2 | w i × (ln(y i )–ln(y)) 2 |
| Cornelissen 2009 |
0.81 |
5.0 |
−0.21 |
0.00 |
0.02 |
| De Witte 1994 |
0.67 |
2.1 |
−0.40 |
0.06 |
0.13 |
| Fielding 2009 |
0.80 |
11.5 |
−0.22 |
0.01 |
0.06 |
| Goldstone 2008 |
0.91 |
46.7 |
−0.09 |
0.00 |
0.15 |
| Hunault 2004 |
0.56 |
2.9 |
−0.58 |
0.18 |
0.53 |
| Labar 2004 |
0.98 |
9.3 |
−0.02 |
0.02 |
0.16 |
| Ribera 2005 |
1.24 |
3.9 |
0.22 |
0.13 |
0.52 |
| Sebban 1994 |
0.75 |
12.7 |
−0.29 |
0.02 |
0.24 |
| Takeuchi 2002 |
0.95 |
3.9 |
−0.05 |
0.01 |
0.04 |
| Ueda 1998 |
0.66 |
2.0 |
−0.42 |
0.07 |
0.14 |
| |
y = 0.86 |
Sum: 100.0 |
|
|
Sum: 1.99 |
| 10 studies, I2 = 0.0, τ2 = 0.0. | |||||
| DL pooled result [95% CI]: HR = 0.86 [0.77, 0.97]; z = −2.48; P–value = 0.013. | |||||
| HKSJ pooled result [95% CI]: HR = 0.86 [0.77, 0.96]; t = −3.19; P–value = 0.011 (df = 9). | |||||
HR: Hazard Ratio for donor versus no-donor; ln: natural logarithm; DL: DerSimonian & Laird meta-analysis method. HKSJ: Hartung-Knapp-Sidik-Jonkman meta-analysis method. CI: Confidence Interval, df: degrees of freedom, ×: multiplication sign. The pooled effect y and the weights wi originate from the DL random-effects analysis on log scale.