Table 1 Mode of 100 independent replications (\({\hat{K}}_{\alpha }\)), and proportion of times true number of communities correctly estimated \(\big (\text {pr}({\hat{K}}=K_0)\big )\) shown in parenthesis for different choice of \(\alpha\), \(\varvec{P}\), and \(n=100\)
From: Selecting a significance level in sequential testing procedures for community detection
\((n, K_0)\) | Signal | \(\alpha =0.01\) | \(\alpha =0.05\) | \(\alpha =0.1\) | \(\alpha =0.2\) |
|---|---|---|---|---|---|
(100, 5) | S | 5 (0.82) | 5 (0.85) | 5 (0.85) | 6 (0.45) |
| Â | W | 3 (0.10) | 3 (0.15) | 4 (0.35) | 4 (0.20) |
(100, 10) | S | 8 (0.25) | 8 (0.35) | 10 (0.40) | 10 (0.55) |
| Â | W | 2 (0.00) | 2 (0.00) | 3 (0.00) | 3 (0.00) |