Table 5 Details of the hyperparameters used in the normal and compositional simulations.

From: Edge and modular significance assessment in individual-specific networks

Normal distribution

Compositional

Parameters

Values

Details

Parameters

Values

Details

N

100, 500, 1000, 2000

Controls + cases observations

N

100, 500, 1000

Controls + cases observations

M

1, 5, 10

Cases observations

M

1, 5, 10

Cases observations

k

2, 3, 5, 7, 9, 11, 17

Module’s size

k

2, 5, 11, 17

Module’s size

Outlier generation

Common, Specific

Common: all outliers share a common distribution

Specific: each outlier has a different variance-covariance structure.

Data heterogeneity

Uniform,

\(\alpha\) = 4, \(\alpha\) = 0.7

Degree of heterogeneity of the parameter to generate the data, going from no heterogeneity (Uniform) to high heterogeneity (Pareto with

\(\alpha\) = 0.7 ) passing through mild heterogeneity (Pareto with \(\alpha\) = 4 )

   

Mult

1.1, 1.5, 2

Multiplying factor applied to a percentage of observation to differentiate between cases and controls observations

   

Percentage increase

10%, 25%, 40%

Percentage of inflated parameters on the total differentiating cases and controls