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Table 1 (C)NMA models for (dis-)connected networks. \(n_{c} =\) number of subnetworks (connectivity components), \(n_{a} =\) number of intervention arms, \(k =\) number of studies, \(n=\) number of interventions, \(r=\) rank of the design matrx of additive CNMA model, \(\nearrow :\) increasing number of interactions in CNMA model, \(\searrow :\) decreasing number of interactions in CNMA model

From: Model selection for component network meta-analysis in connected and disconnected networks: a simulation study

   

Connected network

Disconnected network

 

CNMA models

NMA

Separate NMAs for each subnetwork

 

Additive model

Interaction models

No. of interactions

none

1, 2, 3, ...

all observed

all observed

Model fit

often poor fit

\(\nearrow\)

often good fit

maximal fit

Q

 

\(\searrow\)

 

minimal \(Q=\sum _{i = 1}^{n_c}Q_i\)

Connectivity

good connectivity

\(\searrow\)

poor connectivity

minimal connectivity

df

maximal \({df}=n_a - k - r\)

\(\searrow\)

\({df}=n_a - k - (n - 1)\)

minimal \({df}=n_a - k - (n - n_c)\)