Table 6.
Number of Communities and SSE Results for Functional Connectivity Matrices
| # of communities (K) |
SSE |
||||
|---|---|---|---|---|---|
| Functional connectivity matrix | Ward’s | K-means | Ward’s | K-means | ARI |
|
| |||||
| Schaefer100_17_sub-001_gng_inhibition | 4 | 2 | 0.00551865 | 0.01558034 | 0.4367 |
| Schaefer100_17_sub-001_gng_initiation | 3 | 2 | 0.04659361 | 0.06408007 | 0.5257 |
| Schaefer100_17_sub-001_nbk_0back | 2 | 2 | 0.06951225 | 0.06872225 | 0.9600 |
| Schaefer100_17_sub-001_nbk_1back | 2 | 2 | 0.02078832 | 0.02065508 | 0.8824 |
| Schaefer100_17_sub-001_nbk_2back | 4 | 5 | 0.02352271 | 0.01644922 | 0.8323 |
| Schaefer100_17_sub-001_tsw_shifting | 2 | 3 | 0.04464777 | 0.01923589 | 0.7009 |
| Schaefer200_17_sub-001_gng_inhibition | 2 | 2 | 0.01672525 | 0.01578580 | 0.5893 |
| Schaefer200_17_sub-001_gng_initiation | 4 | 2 | 0.01368322 | 0.02312299 | 0.4044 |
| Schaefer200_17_sub-001_nbk_0back | 2 | 2 | 0.02748137 | 0.02668606 | 0.7383 |
| Schaefer200_17_sub-001_nbk_1back | 2 | 2 | 0.01520388 | 0.01450658 | 0.8091 |
| Schaefer200_17_sub-001_nbk_2back | 4 | 5 | 0.00828381 | 0.00598431 | 0.6667 |
| Schaefer200_17_sub-001_tsw_shifting | 4 | 3 | 0.00718619 | 0.00870851 | 0.3847 |
| Power229_10_sub-001_gng_inhibition | 3 | 2 | 0.01357558 | 0.02678875 | 0.3185 |
| Power229_10_sub-001_gng_initiation | 3 | 4 | 0.00684126 | 0.00541662 | 0.4146 |
| Power229_10_sub-001_nbk_0back | 5 | 4 | 0.01042447 | 0.01098515 | 0.4795 |
| Power229_10_sub-001_nbk_1back | 3 | 2 | 0.00886022 | 0.01509397 | 0.4474 |
| Power229_10_sub-001_nbk_2back | 3 | 3 | 0.00874520 | 0.00771644 | 0.6757 |
| Power229_10_sub-001_tsw_shifting | 2 | 2 | 0.03854919 | 0.03406566 | 0.5428 |
| Schaefer100_17_sub-002_gng_inhibition | 3 | 3 | 0.20265374 | 0.17856246 | 0.6673 |
| Schaefer100_17_sub-002_gng_initiation | 3 | 3 | 0.06450903 | 0.06170384 | 0.6507 |
| Schaefer100_17_sub-002_nbk_0back | 3 | 3 | 0.17659350 | 0.12949262 | 0.3495 |
| Schaefer100_17_sub-002_nbk_1back | 2 | 2 | 0.09835984 | 0.09049773 | 0.8448 |
| Schaefer100_17_sub-002_nbk_2back | 4 | 3 | 0.03479563 | 0.04252043 | 0.4466 |
| Schaefer100_17_sub-002_tsw_shifting | 3 | 4 | 0.01670888 | 0.01162490 | 0.7080 |
| Schaefer200_17_sub-002_gng_inhibition | 5 | 3 | 0.03529750 | 0.04944566 | 0.5071 |
| Schaefer200_17_sub-002_gng_initiation | 5 | 5 | 0.01023696 | 0.00931474 | 0.7047 |
| Schaefer200_17_sub-002_nbk_0back | 4 | 3 | 0.01839637 | 0.02228965 | 0.5933 |
| Schaefer200_17_sub-002_nbk_1back | 2 | 2 | 0.02426733 | 0.02388012 | 0.9212 |
| Schaefer200_17_sub-002_nbk_2back | 3 | 3 | 0.01599856 | 0.01528689 | 0.8182 |
| Schaefer200_17_sub-002_tsw_shifting | 4 | 3 | 0.00718619 | 0.00870851 | 0.3847 |
| Power229_10_sub-002_gng_inhibition | 3 | 3 | 0.02236710 | 0.01900347 | 0.5747 |
| Power229_10_sub-002_gng_initiation | 4 | 2 | 0.00515824 | 0.00837468 | 0.3702 |
| Power229_10_sub-002_nbk_0back | 3 | 3 | 0.00842898 | 0.00791738 | 0.7372 |
| Power229_10_sub-002_nbk_1back | 3 | 3 | 0.00820437 | 0.00786124 | 0.7418 |
| Power229_10_sub-002_nbk_2back | 3 | 3 | 0.00672173 | 0.00617936 | 0.5242 |
| Power229_10_sub-002_tsw_shifting | 2 | 3 | 0.02003771 | 0.01267962 | 0.3657 |
Note. The number of communities (K) selected based on the modularity index are reported for both the walktrap algorithm using Ward’s method and the walktrap algorithm using multistart K-means. The SSE results (after multiplication by 104 to improve readability) are also reported for the two methods but the values are only comparable when K is the same for both methods. The adjusted Rand index (ARI) measure of agreement between the Ward’s method and K-means partitions is reported in the last column.