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Table 7 Type I error, power and coverage probability for the inconsistency test in a ‘typical’ loop of evidence

From: Characteristics of a loop of evidence that affect detection and estimation of inconsistency: a simulation study

  Type I error Power Coverage probability
  IF = 0 IF = 0.3 IF = 0.45 IF = 0.6 IF = 1 IF = 0 IF = 0.3 IF = 0.45 IF = 0.6 IF = 1
  All-cause mortality outcome (median (τ2) = 0.02)
IVDL 0.05 0.14 0.23 0.38 0.75 0.95 0.97 0.99 0.98 0.95
KHDL 0.11 0.21 0.32 0.46 0.78 0.89 0.94 0.93 0.92 0.90
  Subjective outcome (median (τ2) = 0.11)
IVDL 0.07 0.14 0.23 0.34 0.63 0.94 0.96 0.96 0.97 0.95
KHDL 0.12 0.20 0.29 0.41 0.65 0.88 0.93 0.93 0.92 0.91
  1. We assume a dichotomous frequent outcome, number of trials (K) per comparison KAB = 1, KAC = 4, KBC = 3 and the sample size per arm is drown from n ~ U(120, 160). IF: inconsistency factor, IVDL: inverse variance method with the DerSimonian and Laird estimator, KHDL: Knapp-Hartung method with the DerSimonian and Laird estimator.