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. Author manuscript; available in PMC: 2025 Mar 1.
Published in final edited form as: Multivariate Behav Res. 2024 Feb 15;59(2):266–288. doi: 10.1080/00273171.2023.2254767

Table 7.

Fixed K Results for Functional Connectivity Matrices

Functional connectivity matrix Ward’s K SSE Ward’s – SSE K-means % Difference ARI

Schaefer100_17_sub-001_gng_inhibition 4 0.00059521 12.09% 0.6914
Schaefer100_17_sub-001_gng_initiation 3 0.00074619 1.63% 0.7227
Schaefer100_17_sub-001_nbk_0back 2 0.00079000 1.15% 0.9600
Schaefer100_17_sub-001_nbk_1back 2 0.00013324 0.65% 0.8824
Schaefer100_17_sub-001_nbk_2back 4 0.00234554 11.08% 0.7707
Schaefer100_17_sub-001_tsw_shifting 2 0.00776123 21.04% 0.3073
Schaefer200_17_sub-001_gng_inhibition 2 0.00093945 5.95% 0.5893
Schaefer200_17_sub-001_gng_initiation 4 0.00066151 5.08% 0.8113
Schaefer200_17_sub-001_nbk_0back 2 0.00079530 2.98% 0.7383
Schaefer200_17_sub-001_nbk_1back 2 0.00069729 4.81% 0.8091
Schaefer200_17_sub-001_nbk_2back 4 0.00024676 3.07% 0.5033
Schaefer200_17_sub-001_tsw_shifting 4 0.00078530 12.27% 0.6829
Power229_10_sub-001_gng_inhibition 3 0.00038341 2.91% 0.8035
Power229_10_sub-001_gng_initiation 3 0.00044213 6.91% 0.4589
Power229_10_sub-001_nbk_0back 5 0.00093608 9.87% 0.5387
Power229_10_sub-001_nbk_1back 3 0.00046089 5.49% 0.7103
Power229_10_sub-001_nbk_2back 3 0.00102876 13.33% 0.6757
Power229_10_sub-001_tsw_shifting 2 0.00448353 13.16% 0.5428
Schaefer100_17_sub-002_gng_inhibition 3 0.02409128 13.49% 0.6673
Schaefer100_17_sub-002_gng_initiation 3 0.00280519 4.55% 0.6507
Schaefer100_17_sub-002_nbk_0back 3 0.04710088 36.37% 0.3495
Schaefer100_17_sub-002_nbk_1back 2 0.00786211 8.69% 0.8448
Schaefer100_17_sub-002_nbk_2back 4 0.00391188 12.67% 0.7464
Schaefer100_17_sub-002_tsw_shifting 3 0.00090796 5.75% 0.9053
Schaefer200_17_sub-002_gng_inhibition 5 0.00621493 21.37% 0.5474
Schaefer200_17_sub-002_gng_initiation 5 0.00092222 9.90% 0.7047
Schaefer200_17_sub-002_nbk_0back 4 0.00161890 9.65% 0.7545
Schaefer200_17_sub-002_nbk_1back 2 0.00038721 1.62% 0.9212
Schaefer200_17_sub-002_nbk_2back 3 0.00071167 4.66% 0.8182
Schaefer200_17_sub-002_tsw_shifting 4 0.00078530 12.27% 0.6829
Power229_10_sub-002_gng_inhibition 3 0.00336363 17.70% 0.5747
Power229_10_sub-002_gng_initiation 4 0.00028062 5.75% 0.6859
Power229_10_sub-002_nbk_0back 3 0.00051160 6.46% 0.7372
Power229_10_sub-002_nbk_1back 3 0.00034313 4.36% 0.7418
Power229_10_sub-002_nbk_2back 3 0.00054237 8.78% 0.5242
Power229_10_sub-002_tsw_shifting 2 0.00029968 1.52% 0.8965

Note. The values in column K are the number of communities selected when using the walktrap algorithm with Ward’s method. For the given number of communities, the next column reports the amount (after multiplication by 104 to improve readability) by which the SSE using Ward’s method exceeds the SSE using multistart K-means. The percentage difference in the SSE values (Ward minus K-means)/K-means is also provided. The adjusted Rand index (ARI) measure of agreement between the Ward’s method and K-means partitions is reported in the last column.