Fig. 5

Boxplots of 500 estimates of the attribute distribution under model class \(\mathscr {P}(\alpha , \mu , f)\) with homophily where \(N=2000\), \(\alpha =0.2\), \(\mu = (0.7, 0.2,0.1)\), \(f(a,a)=0.8\), \(f(a,a')=0.1\), \(a\ne a'=1,2,3\) and \(m=2\). The sample size for each sampling method is 0.15N. N2V-2 (\(w_{ij} = 0.3\) if nodes have equal attributes and 1 otherwise); N2V-3 (\(\theta =10^{-3}\), \(\beta =\gamma =1\)), N2V-4 (\(\theta =10^{-3}\), \(\beta =\gamma =1\), \(w_{ij} = 0.3\) if nodes have equal attributes and 1 otherwise), N2V-5 (\(\theta =10^{-3}\), \(\gamma =0.1,\beta =1\)), N2V-6 (\(\theta w_{ij} =10^{-3}\), \(\gamma w_{ij}=0.1\), and \(\beta w_{ij} =0.3\) if nodes have equal attributes and 1 otherwise). The red dotted lines represent the true values p(a), \(a=1,2,3\)