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Table 4 Odds ratios and 95% confidence/credible intervals for the four placebo comparisons and two select active intervention comparisons in the second illustrative example

From: Modelling heterogeneity variances in multiple treatment comparison meta-analysis – Are informative priors the better solution?

Model

Trt1 vs Placebo

Trt2 vs Placebo

Trt3 vs Placebo

Trt4 vs Placebo

Trt2 vs Trt1

Trt4 vs Trt2

Random-effects pair wise meta-analysis

DerSimonian-Laird

1.94(1.67-2.24)

2.11(1.42-3.13)

1.78(1.60-1.97)

2.86(2.21-3.71)

1.90 (1.17-3.09)

--

Hartung-Makimbi

1.94(1.68-2.23)

2.09(1.42-3.09)

1.77(1.57-2.00)

2.86(2.21-3.70)

1.91 (1.16-3.13)

--

Bayesian (non-informative)

1.98(1.70-2.31)

2.38(1.30-5.82)

1.80(1.61-2.02)

2.89(2.08-4.06)

1.97 (0.66-8.88)

--

Bayesian (frequentist informed)

1.97(1.71-2.28)

2.16(1.48-3.68)

1.80(1.60-2.02)

2.89(2.23-3.77)

1.79 (1.17-3.55)

--

Bayesian (empirically informed)

1.97(1.71-2.28)

2.13(1.47-3.98)

1.80(1.61-2.03)

2.89(2.20-3.80)

1.84 (1.17-3.53)

--

Random-effects MTC models

      

Weakly informed variance models

      

Homogeneous variance model

1.91(1.67-2.19)

2.59(1.97-3.50)

1.80(1.57-2.08)

2.90(2.23-3.79)

1.36 (1.02-1.84)

1.11(0.74-1.63)

  Unrestricted variances

1.95(1.69-2.28)

3.05(1.84-5.50)

1.81(1.62-2.01)

2.90(2.07-4.07)

1.56 (0.94-2.75)

0.94(0.49-1.74)

  Exchangeable variances*

1.93(1.67-2.26)

2.89(1.98-4.43)

1.78(1.56-1.99)

2.89(2.17-3.86)

1.50 (1.03-2.26)

1.01(0.59-1.58)

  Consistency variances structure

1.93(1.66-2.23)

2.80(1.92-4.69)

1.80(1.60-2.02)

2.90(2.18-3.86)

1.45 (0.99-2.40)

1.03(0.58-1.66)

Moderately informed variance models

  Frequentist informed priors

1.93(1.68-2.22)

2.80(1.98-4.10)

1.80(1.60-2.03)

2.90(2.22-3.78)

1.46 (1.02-2.11)

1.05(0.66-1.61)

  Empirically informed priors

1.93(1.67-2.23)

2.84(2.00-4.26)

1.80(1.61-2.02)

2.91(2.22-3.81)

1.48 (1.00-2.20)

1.02(0.63-1.59)

  1. Abbreviations: DIC (Deviance information criterion); pD (effective number of model parameters); Trt (Treatment).