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Table 5 Wald-type chi-squared tests for inconsistency using detachment factors [D k .T; k (1,…,15)]

From: Network-meta analysis made easy: detection of inconsistency using factorial analysis-of-variance models

Design Design no. ( k) Number of studies Degrees of freedom for D k.T Effect D k.G.S.T fixed Effect D k.G.S.T random
D k.T D k.G.T D k.T D k.G.T
Wald statistic p-value Wald statistic p-value Wald statistic p-value§ Wald statistic p-value§
acar:plac 1 1 1 0.09 0.7699 22.45 0.0010 0.02 0.8889 2.25 0.8782
acar:SUal 2 1 1 0.01 0.9091 22.52 0.0010 0.01 0.9430 2.26 0.8765
metf:plac 4 3 1 0.46 0.4976 22.07 0.0012 0.04 0.8379 2.22 0.8814
metf:acar:plac 5 1 2 0.15 0.9297 22.39 0.0004 0.07 0.9634 2.18 0.8129
metf:SUal 6 1 1 15.02 0.0001 7.52 0.2758 1.63 0.2343 0.92 0.9835
piog:plac 8 1 1 5.28 0.0215 17.25 0.0084 0.43 0.5299 1.96 0.9062
piog:metf 9 1 1 5.40 0.0201 17.13 0.0088 0.43 0.5318 1.94 0.9081
piog:rosi 10 1 1 0.05 0.8280 22.49 0.0010 0.01 0.9065 2.27 0.8751
rosi:plac 11 6 1 6.24 0.0125 16.30 0.0122 0.74 0.4112 1.87 0.9168
rosi:metf 12 2 1 0.01 0.9199 22.52 0.0010 0.01 0.9276 2.25 0.8795
rosi:SUal 13 1 1 15.76 <0.0001 6.77 0.3424 1.79 0.2146 0.66 0.9930
  1. Tests are reported for eleven detached designs in the diabetes example of Senn et al. [7] (due to the network structure, the other four designs did not contribute to the inconsistency). The effect Dk.G.S.T was taken either as fixed or as random. Tests significant at the 5% level are boldfaced.
  2. §Based on Wald-type F-test with denominator d.f. computed by Kenward-Roger method [17].