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Table 3 Conversion of DerSimonian-Laird results into Hartung-Knapp-Sidik-Jonkman results for a continuous outcome: severity of cold symptoms

From: The Hartung-Knapp-Sidik-Jonkman method for random effects meta-analysis is straightforward and considerably outperforms the standard DerSimonian-Laird method

DerSimonian and Laird results Calculations for Hartung-Knapp- Sidik-Jonkman
Study Study results SMD yi Weights wi (y i –y) 2 w i × (y i –y) 2
Kurugol 2006a −0.04 24.0 0.1225 2.94
Kurugol 2007 −0.07 22.2 0.1024 2.27
Petrus 1998 −0.31 21.3 0.0064 0.14
Prasad 2000 −1.36 15.5 0.9409 14.58
Prasad 2008 −0.54 17.0 0.0225 0.38
  y = −0.39 Sum: 100.0   Sum: 20.31
5 studies, I2 = 75.0%, τ2 = 0.13
DL pooled result [95% CI]: SMD = −0.39 [−0.77, –0.02]; z = 2.05; P–value = 0.04
HKSJ pooled result [95% CI]: SMD = −0.39 [−1.02, 0.24]; t = 1.73; P–value = 0.16 (df = 4)
  1. SMD: Standardized mean difference. 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.