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Table 3 Selected CNMA models in 1000 simulations of connected networks

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

Scenario

\(n_{diff}\)

Additive CNMA

CNMA with one 2-way interaction

CNMA with two 2-way interactions

\(A\!*\!B\)

\(A\!*\!C\)

\(C\!*\!D\)

\(A\!*\!B\)+\(C\!*\!D\)

\(A\!*\!B\)+\(A\!*\!C\)

\(A\!*\!C\)+\(C\!*\!D\)

No heterogeneity (\(\tau ^2=0.00\))

    A

35

693

119

94

84

3

2

5

    B1

257

324

436

148

61

16a

12a

3

    B2

298

325

45

154

436

17a

8

15a

    C1

687

61

746

99

17

34a

28a

15

    C2

732

51

13

104

742

38a

7

45a

Low heterogeneity (\(\tau ^2=0.01\))

    A

52

652

136

98

108

3

1

2

    B1

281

337

426

136

59

16a

18a

8

    B2

284

317

49

133

450

25a

10

16a

    C1

676

75

704

109

24

29a

47a

12

    C2

738

70

13

98

716

45a

7

51a

Moderate heterogeneity (\(\tau ^2=0.10\))

    A

188

458

188

142

179

14

13

6

    B1

392

277

346

178

132

34a

17a

16

    B2

420

262

122

195

356

28a

13

24a

    C1

656

117

550

135

53

65a

64a

16

    C2

702

93

48

161

546

65a

18

69a

  1. The correctly chosen model is printed in bold
  2. aCombination of two 2-way interactions includes the correct interaction
  3. \(n_{diff}\): number of networks rejecting the additivity assumption with significant p-value for \(Q_{diff}\) (\(p < 0.05\)), where \(Q_{diff}\) is the Q statistic for the difference between additive CNMA and standard NMA model