Table 7 Choice of \(\alpha\) and corresponding estimated number of communities \({\hat{K}}_{\alpha }\) for different values of tolerance ratio \(\gamma\) across various choices of correlation threshold \(\tau\) for the USVA data
From: Selecting a significance level in sequential testing procedures for community detection
Correlation threshold (\(\tau\)) | Â | 0.3 | Â | Â | 0.5 | Â | Â | 0.7 | Â |
|---|---|---|---|---|---|---|---|---|---|
Tolerance ratio (\(\gamma\)) | 0.5 | 1 | 2 | 0.5 | 1 | 2 | 0.5 | 1 | 2 |
Significance level (\(\alpha\)) | 0.07 | 0.05 | 0.02 | 0.06 | 0.05 | 0.01 | 0.06 | 0.04 | 0.01 |
Estimated # communities (\({\hat{K}}_{\alpha }\)) | 3 | 3 | 3 | 4 | 3 | 3 | 5 | 4 | 4 |