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Table 4 Estimates of several performance measures for different cutoff scores of the Y-ACNAT-NO

From: The development and validation of the Youth Actuarial Care Needs Assessment Tool for Non-Offenders (Y-ACNAT-NO)

Cutoff score (>) a

Sensitivity (95% CI)

Specificity (95% CI)

Positive predictive power (95% CI)

Negative predictive power (95% CI)

Diagnostic odds ratio (95% CI)

NND (95% CI)

NSD (95% CI)

Youden index

> .000

1.000 (.984 – 1.000)

.000 (.000 - .003)

.139 (.122 - .156)

-

-

7.194 (6.410 - 8.197)

-

.000

> .047

.799 (.741 - .849)

.535 (.508 - .561)

.217 (.189 - .246)

.943 (.925 - .958)

4.567 (3.252 – 6.414)

4.608 (4.065 - 5.291)

16.544 (12.333 – 22.810)

.334

> .053

.756 (.695 - .810)

.644 (.618 - .668)

.254 (.222 - .289)

.942 (.926 - .956)

5.575 (4.047 – 7.680)

3.937 (3.460 - 4.505)

16.242 (12.514 – 21.727)

.400

> .117

.677 (.612 - .737)

.758 (.735 - .780)

.311 (.270 - .353)

.936 (.920 - .949)

6.564 (4.851 – 8.881)

3.215 (2.833 - 3.704)

14.625 (11.500 – 18.608)

.435

> .128

.511 (.444 - .577)

.869 (.851 - .886)

.386 (.331 - .444)

.917 (.901 - .931)

6.942 (5.135 – 9.384)

2.591 (2.252 - 3.021)

11.048 (9.101 – 13.493)

.380

> .207

.507 (.440 - .573)

.880 (.862 - .896)

.404 (.347 - .464)

.917 (.901 - .931)

7.510 (5.539 – 10.182)

2.475 (2.155 - 2.882)

11.048 (9.101 – 13.493)

.387

> .257

.454 (.388 - .521)

.911 (.895 - .925)

.450 (.385 - .517)

.912 (.896 - .926)

8.484 (6.175 – 11.655)

2.222 (1.934 - 2.597)

10.364 (8.615 – 12.514)

.365

> .292

.393 (.329 - .460)

.950 (.937 - .961)

.559 (.479 - .637)

.907 (.891 - .921)

12.320 (8.624 – 17.602)

1.789 (1.570 - 2.088)

9.753 (8.174 – 11.658)

.343

> .439

.253 (.198 - .315)

.984 (.976 - .990)

.716 (.604 - .811)

.891 (.875 - .906)

20.631 (12.409 – 34.302)

1.397 (1.233 - 1.656)

8.174 (7.000 – 9.638)

.237

> .690

.087 (.054 - .132)

.997 (.993 - .999)

.833 (.626 - .953)

.872 (.854 - .887)

33.923 (11.482 – 100.223)

1.200 (1.049 - 1.597)

6.813 (5.849 – 7.850)

.084

>1.000

.000 (.000 - .016)

1.000 (.997 – 1.000)

-

.861 (.844 - .878)

-

-

6.194 (5.410 – 7.197)

.000

  1. The presented measures pertain to the performance of the Y-ACNAT-NO in the validation sample.
  2. aIf a test score on the Y-ACNAT-NO (i.e., the probability of future care needs) is greater than the cutoff score, the test result is considered positive; otherwise, it is considered negative. The cutoff score with the highest Youden index [J] is indicated in bold.
  3. CI = Confidence interval; NND = Number needed to detain; NSD = Number safely discharged.