# mlvsbm_simulate_network: Create a simulated multilevel network (MLVSBM object) In MLVSBM: A Stochastic Block Model for Multilevel Networks

## Description

Create a simulated multilevel network (MLVSBM object)

## Usage

  1 2 3 4 5 6 7 8 9 10 11 12 mlvsbm_simulate_network( n, Q, pi, gamma, alpha, directed, affiliation = "uniform", distribution = list("bernoulli", "bernoulli"), no_empty_org = FALSE, no_isolated_node = FALSE ) 

## Arguments

 n A list of 2 positive integers, the number of individuals and organizations. Q A list of 2 positive integers, the number of clusters of individuals and organizations. pi A vector of probabilities of length Q_O, the mixture parameter for the organizations. gamma A Q_I \times Q_O matrix with each column summing to one, the mixture parameters for the individuals alpha A list of 2 matrices, a Q_I \times Q_I matrix giving the connectivity probabilities of the individuals and a Q_O \times Q_O matrix giving the connectivity probabilities of the organizations. directed A list of 2 logical. Is the individual level a directed network ? Is the inter-organizational level a directed network? affiliation The distribution under which the affiliation matrix is simulated in c("uniform", "preferential"). distribution A list for the distribution of X, only "bernoulli" is implemented. no_empty_org A logical with FALSE as default, should every organizations have at least one affiliated individual? Needs to have n_I ≥q n_O. no_isolated_node A logical, if TRUE then the network is simulated again until all nodes are connected.

## Value

An MLVSBM object, a simulated multilevel network with levels, affiliations and memberships.

## Examples

  1 2 3 4 5 6 7 8 9 10 11 12 13 14 my_mlvsbm <- MLVSBM::mlvsbm_simulate_network( n = list(I = 10, O = 20), # Number of nodes for the lower level and the upper level Q = list(I = 2, O = 2), # Number of blocks for the lower level and the upper level pi = c(.3, .7), # Block proportion for the upper level, must sum to one gamma = matrix(c(.9, .2, # Block proportion for the lower level, .1, .8), # each column must sum to one nrow = 2, ncol = 2, byrow = TRUE), alpha = list(I = matrix(c(.8, .2, .2, .1), nrow = 2, ncol = 2, byrow = TRUE), # Connection matrix O = matrix(c(.99, .3, .3, .1), nrow = 2, ncol = 2, byrow = TRUE)),# between blocks directed = list(I = FALSE, O = FALSE)) # Are the upper and lower level directed 

MLVSBM documentation built on June 10, 2021, 5:08 p.m.