########################################
context("sbm expected number of edges")
##########
## matrix with all entries the same (simple)
sim.params <- list(N=400, p.F=.5, p.H=.5, pi.within=.05, rho=1)
params.simple <- sbm_params(sim.params, type="4group_1param_simple")
# order: 'FnotH', 'FH', 'notFnotH', 'notFH'
## edges within a block
eec <- expected_edgecount(params.simple,
first.group='FnotH',
second.group='FnotH')
expect_equal(eec, choose(100,2)*.05)
## edges between two distinct blocks
eec <- expected_edgecount(params.simple,
first.group='FnotH',
second.group='FH')
expect_equal(eec, 100*100*.05)
## edges between two overlapping blocks
eec <- expected_edgecount(params.simple,
first.group=c('FnotH', 'FH'),
second.group='FH')
expect_equal(eec, 100*100*.05 + choose(100,2)*.05)
## edges between two overlapping blocks
eec <- expected_edgecount(params.simple,
first.group='FH',
second.group=c('FnotH', 'FH'))
expect_equal(eec, 100*100*.05 + choose(100,2)*.05)
## edges between two overlapping blocks
eec <- expected_edgecount(params.simple,
first.group=c('FnotH', 'FH'),
second.group=c('FnotH', 'FH'))
expect_equal(eec, 2*(100*100*.05 + choose(100,2)*.05))
##########
## matrix with inhomogenous mixing (simple)
sim.params <- list(N=400, p.F=.5, p.H=.5, pi.within=.05, rho=.1)
params.simple <- sbm_params(sim.params, type="4group_1param_simple")
## edges between two overlapping blocks
eec <- expected_edgecount(params.simple,
first.group=c('FnotH', 'FH'),
second.group=c('FnotH', 'FH'))
expect_equal(eec, 2*(100*100*.05*.1 + choose(100,2)*.05))
##########
## matrix with inhomogenous mixing (nested)
sim.params <- list(N=400, p.F=.5, p.H=.5, pi.within=.05, rho=.1)
params.nested <- sbm_params(sim.params, type="4group_1param_nested")
## edges between two overlapping blocks
eec <- expected_edgecount(params.nested,
first.group=c('FnotH', 'notFH'),
second.group='notFH')
expect_equal(eec, 100*100*.05*.1*.1 + choose(100,2)*.05)
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.