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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.