. 2023 Jun 14;23:140. doi: 10.1186/s12874-023-01959-9

Table 3.

Selected CNMA models in 1000 simulations of connected networks

Scenario	$n_{diff}$	Additive CNMA	CNMA with one 2-way interaction			CNMA with two 2-way interactions
Scenario	$n_{diff}$	Additive CNMA	$A * B$	$A * C$	$C * D$	$A * B$ + $C * D$	$A * B$ + $A * C$	$A * C$ + $C * D$
No heterogeneity ( $τ^{2} = 0.00$ )
A	35	693	119	94	84	3	2	5
B1	257	324	436	148	61	16^a	12^a	3
B2	298	325	45	154	436	17^a	8	15^a
C1	687	61	746	99	17	34^a	28^a	15
C2	732	51	13	104	742	38^a	7	45^a
Low heterogeneity ( $τ^{2} = 0.01$ )
A	52	652	136	98	108	3	1	2
B1	281	337	426	136	59	16^a	18^a	8
B2	284	317	49	133	450	25^a	10	16^a
C1	676	75	704	109	24	29^a	47^a	12
C2	738	70	13	98	716	45^a	7	51^a
Moderate heterogeneity ( $τ^{2} = 0.10$ )
A	188	458	188	142	179	14	13	6
B1	392	277	346	178	132	34^a	17^a	16
B2	420	262	122	195	356	28^a	13	24^a
C1	656	117	550	135	53	65^a	64^a	16
C2	702	93	48	161	546	65^a	18	69^a

The correctly chosen model is printed in bold

^aCombination of two 2-way interactions includes the correct interaction

$n_{diff}$ : 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