In order to interpret the latent classes, item response probabilities of the indicators were examined for each latent class. Table 4 presents the item-response probabilities and the proportions of the classes.Table 4Item response probabilities LCA (N = 390)Class1 (N = 175)2 (N = 120)3 (N = 57)4 (N = 38)Class size proportions44.9%30.8%14.6%9.7%Family supervision order Yes0.02 0.84 0.02 0.70 No 0.98 0.16 0.98 0.30Registered child maltreatment Yes0.14 0.57 0.02 0.59 No 0.86 0.43 0.98 0.41Age at onset of delinquent behaviour No offence0.000.000.31 0.62 Below age 130.200.420.050.10 Age 13 or 140.410.370.180.11 Age 15 or older0.390.210.460.18Age of the first CPS report No report0.010.01 0.997 0.00 First report below age 130.040.440.00 0.60 First report age 13 or 140.290.340.000.15 First report age 15 or older 0.67 0.210.000.25Number of CPS investigations None0.000.00 0.997 0.00 1 or 2 0.68 0.130.00 0.94 3 or more0.32 0.87 0.000.06Type of CPS investigation No investigation0.000.00 0.997 0.03 Protection investigation0.000.000.00 0.85 Judicial investigation 0.89 0.040.000.12 Truancy investigation0.040.000.000.00 Multiple types of investigations0.07 0.95 0.000.00Current psychological functioning and delinquent behaviour per group