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Table 7 Statistical analysis of optimal clustering configurations using selected ASD outcome measures: for kNN2 graphs without node reassignment

From: Applications of node-based resilience graph theoretic framework to clustering autism spectrum disorders phenotypes

Cluster (size) ABC overall RBS R overall ADOS CSS Vineland composite score Overall IQ PPVTA 4A Epilepsy
kNN 2 VAT k=2  
C0 (2072) 47.01(26.1) 27.74(17.9) 7.38(1.7) 73.99(12.0) 83.50(27.1) 87.51(27.9) 2.27%
C1 (506) 45.66(25.3) 25.01(16.1) 7.69(1.6) 70.47(12.9) 69.09(28.5) 71.46(29.3) 2.77%
S (102) 46.03(21.6) 26.89(15.1) 7.52(1.5) 73.71(9.6) 81.75(23.2) 77.94(35.1) 0.98%
ANOVA p-value 0.295 0.002 < 0.001 < 0.001 < 0.001 < 0.001  
Eta-squared (η2) 0 0.004 0.005 0.013 0.042 0.049  
kNN 2 Integrity k=5  
C0 (1096) 41.02(22.0) 23.30(14.8) 7.19(1.7) 78.36(10.3) 94.63(20.6) 97.91(22.2) 1.37%
C1 (430) 67.76(24.6) 43.94(19.2) 7.61(1.7) 70.22(9.7) 78.58(23.8) 83.02(25.0) 1.86%
C2 (402) 41.49(23.8) 24.42(15.8) 7.57(1.7) 73.88(11.3) 78.34(24.3) 79.36(25.4) 2.00%
C3 (384) 32.54(18.1) 18.99(10.5) 7.47(1.6) 75.41(10.6) 82.90(21.9) 84.73(23.3) 2.09%
C4 (350) 59.67(27.2) 30.74(17.2) 7.83(1.5) 58.58(9.9) 40.55(19.3) 43.70(22.9) 6.03%
S (18) 56.33(22.6) 32.50(15.0) 7.72(1.9) 69.33(14.2) 68.78(36.4) 65.56(46.7) 11.1%
ANOVA p-value < 0.001 < 0.001 < 0.001 < 0.001 < 0.001 < 0.001  
Tukey HSD (NSa) C0:C2 C0:C2 C1:C2,C3,C4; C2:C3,C4 C2:C3 C1:C2 C1:C2,C3  
Eta-squared (η2) 0.211 0.210 0.019 0.279 0.383 0.329  
kNN 2 Tenacity k=5  
C0 (741) 47.01(26.1) 29.38(18.8) 7.46(1.6) 73.25(9.9) 81.26(22.4) 83.63(23.3) 2.30%
C1 (951) 41.23(22.4) 22.84(14.8) 7.08(1.7) 78.68(10.5) 95.58(20.3) 99.41(21.6) 1.26%
C2 (591) 45.06(26.3) 25.66(17.3) 7.61(1.7) 71.44(13.3) 70.86(28.5) 72.95(29.9) 2.54%
C3 (216) 68.07(25.8) 41.92(17.0) 8.56(1.5) 68.76(8.9) 75.79(27.1) 80.39(28.1) 2.33%
C4 (172) 54.72(25.2) 28.90(14.0) 7.35(1.4) 56.13(8.9) 36.17(16.6) 37.64(18.6) 7.60%
S (9) 46.22(19.4) 23.56(15.7) 7.78(1.0) 72.67(11.8) 79.00(23.5) 81.88(34.3) 0%
ANOVA p-value < 0.001 < 0.001 < 0.001 < 0.001 < 0.001 < 0.001  
Tukey HSD (NS ) C0:C2 C4:C0,C2 C0:C2,C4 C4:C1,C2 None C2:C3 C0:C3  
Eta-squared (η2) 0.078 0.086 0.054 0.214 0.298 0.270  
  1. aNS: implies pairs for which Tukey HSD test was not significant. S is not included in the ANOVA, Tukey, and Eta-squared analyses
  2. The mean and standard deviation values are presented for each measure)