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. 2024 Jan 8;31(5):963–985. doi: 10.1080/13218719.2023.2242437

Table 5.

Cox regression survival analysis and AUCs of the LSI–R:SV, LS/RNR, total scores and LS/RNR subscales for recidivism outcomes.

Sample n Recidivism
Any Violent Non-violent
LSI–R:SV total score 76      
 HR [95% CI]   1.19 [0.98, 1.44] 1.44** [1.09, 1.90] 1.15 [0.95, 1.39]
C-Indexa   .55 .63 .53
 AUC at 30 days   .65 .66 .55
 AUC at 90 days   .56 .61 .55
 AUC at 180 days   .52 .65 .52
 AUC at 360 days   .64 .69 .61
 AUC at 720 days   .77 .71 .75
 IBSa   .18 .20 .20
 Brier skill score   0.33 0.24 0.23
LS/RNR total score 78      
 HR [95% CI]   1.05* [1.01, 1.10] 1.09** [1.03, 1.15] 1.06** [1.02, 1.11]
C-Indexa   .61 .67 .61
 AUC at 30 days   .67 .71 .57
 AUC at 90 days   .65 .73 .63
 AUC at 180 days   .65 .75 .69
 AUC at 360 days   .66 .77 .69
 AUC at 720 days   .72 .72 .76
 IBSa   .18 .17 .18
 Brier skill score   0.32 0.37 0.30
  Criminogenic needs according to the LS/RNR
Criminal history 78      
 HR [95% CI]   1.32* [1.05, 1.66] 1.96** [1.29, 2.98] 1.31* [1.03, 1.68]
C-Indexa   .63 .68 .62
 AUC at 30 days   .66 .71 .56
 AUC at 90 days   .68 .67 .67
 AUC at 180 days   .68 .71 .68
 AUC at 360 days   .70 .77 .72
 AUC at 720 days   .67 .76 .69
 IBSa   .18 .17 .19
 Brier skill score   0.32 0.37 0.26
Education and employment 78      
 HR [95% CI]   1.10 [0.96, 1.25] 1.15 [0.97, 1.36] 1.13 [1.00, 1.29]
C-Indexa   .58 .58 .59
 AUC at 30 days   .68 .65 .60
 AUC at 90 days   .62 .60 .60
 AUC at 180 days   .62 .63 .66
 AUC at 360 days   .61 .60 .65
 AUC at 720 days   .61 .60 .65
 IBSa   .19 .21 .20
 Brier skill score   0.28 0.22 0.23
Family and marital 78      
 HR [95% CI]   1.08 [0.87, 1.33] 1.42* [1.04, 1.94] 1.11 [0.89, 1.39]
C-Indexa   .55 .63 .55
 AUC at 30 days   .61 .62 .51
 AUC at 90 days   .59 .71 .57
 AUC at 180 days   .59 .69 .60
 AUC at 360 days   .57 .67 .59
 AUC at 720 days   .65 .70 .67
 IBSa   .19 .20 .20
 Brier skill score   0.28 0.26 0.23
Leisure and recreation 78      
 HR [95% CI]   1.51 [0.92, 2.50] 2.02 [0.98, 4.17] 1.53 [0.91, 2.57]
C-Indexa   .58 .61 .59
 AUC at 30 days   .66 .65 .65
 AUC at 90 days   .66 .68 .66
 AUC at 180 days   .64 .66 .66
 AUC at 360 days   .61 .65 .60
 AUC at 720 days   .55 .55 .54
 IBSa   .18 .20 .20
 Brier skill score   0.32 0.26 0.23
Antisocial companions 78      
 HR [95% CI]   0.91 [0.69, 1.21] 1.11 [0.75, 1.63] 0.95 [0.71, 1.28]
C-Indexa   .52 .52 .50
 AUC at 30 days   .43 .39 .38
 AUC at 90 days   .50 .52 .49
 AUC at 180 days   .52 .55 .54
 AUC at 360 days   .58 .63 .60
 AUC at 720 days   .43 .50 .46
 IBSa   .19 .21 .20
 Brier skill score   0.28 0.22 0.23
Alcohol and drug problem 78      
 HR [95% CI]   1. 16* [1.01, 1.32] 1.21* [1.00, 1.46] 1.18* [1.03, 1.35]
C-Indexa   .58 .63 .59
 AUC at 30 days   .62 .59 .64
 AUC at 90 days   .61 .62 .62
 AUC at 180 days   .61 .65 .63
 AUC at 360 days   .58 .68 .59
 AUC at 720 days   .70 .63 .69
 IBSa   .19 .20 .19
 Brier skill score   0.28 0.26 0.26
  Procriminal attitude orientation
 HR [95% CI] 78 1.12 [0.90, 1.38] 1.24 [0.95, 1.64] 1.16 [0.93, 1.44]
C-Indexa   .54 .59 .54
 AUC at 30 days   .59 .70 .48
 AUC at 90 days   .56 .66 .54
 AUC at 180 days   .56 .63 .57
 AUC at 360 days   .56 .65 .59
 AUC at 720 days   .73 .66 .76
 IBSa   .18 .19 .19
 Brier skill score   0.32 0.30 0.26
Antisocial pattern        
 HR [95% CI] 78 1.15 [0.91, 1.46] 1.41* [1.03, 1.93] 1.22 [0.95, 1.55]
C-Indexa   .55 .62 .55
 AUC at 30 days   .60 .65 .51
 AUC at 90 days   .56 .65 .54
 AUC at 180 days   .58 .69 .59
 AUC at 360 days   .57 .70 .61
 AUC at 720 days   .68 .69 .71
 IBSa   .18 .19 .18
 Brier skill score   0.32 0.30 0.30

Note: LSI–R:SV = Level of Service Inventory–Revised: Screening Version; LS/RNR = Level of Service/Risk, Need, Responsivity; AUC = area under the curve; HR = hazard ratio; CI = confidence interval; IBS = integrated Brier score.

aBootstrapping validation (with 300 bootstrapped datasets) indicated that bootstrap C-Index and bootstrap IBS values were within 0.03 and 0.05 of reported C-Index and reported IBS values, respectively.

*p < .05. **p < .01.