From: A graphical tool for locating inconsistency in network meta-analyses
Null hypothesis | Q statistic | Degrees of freedom |
---|---|---|
Homogeneity in the whole network | Q ^{net} | $d{f}_{{Q}^{\text{net}}}:=\left(\sum _{s\in \mathcal{S}}({N}_{s}-1)\right)-T$ |
Homogeneity within designs | Q ^{het} | $d{f}_{{Q}^{\text{het}}}:=\sum _{d=1}^{D}d{f}_{{Q}_{d}^{\text{het}}}$ |
Homogeneity within design d | ${Q}_{d}^{\text{het}}$ | $d{f}_{{Q}_{d}^{\text{het}}}:=\left(\sum _{s\in {\mathcal{S}}_{d}}({N}_{s}-1)\right)-{N}_{d}+1$ |
Consistency between designs | Q ^{inc} | $d{f}_{{Q}^{\text{inc}}}:=\left(\sum _{d=1}^{D}({N}_{d}-1)\right)-T$ |
Consistency between designs after | ${Q}_{\left(d\right)}^{\text{inc}}$ | $d{f}_{{Q}_{\left(d\right)}^{\text{inc}}}:=d{f}_{{Q}^{\text{inc}}}-{N}_{d}+1$ |
detaching the effect of design d |