
Figure 1
Illustration of LPA with too few or too many profiles.

Figure 2
Correlations between variables (two year follow-up).
Table 1
Variables.
| (A) NEUROCOGNITIVE (INDICATOR) VARIABLES (x) | ||
|---|---|---|
| COGNITIVE PROCESS | TASK | DESCRIPTION |
| Executive Function | ||
| cognitive/attentional control | Flanker (NIH Toolbox) | uncorrected standard score |
| processing speed | Pattern Comparison (NIH Toolbox) | uncorrected standard score |
| response inhibition | Stop Signal | –1× stop signal reaction time |
| working memory | Emotional N-Back | proportion correct on two-back trials |
| Learning and Memory | ||
| visual-spatial memory | Picture Sequence Memory (NIH Toolbox) | uncorrected standard score |
| auditory memory | Rey Auditory Verbal Learning | immediate recall total correct |
| recognition memory | Emotional N-Back | recognition trials d′ |
| General Cognition | ||
| vocabulary | Picture Vocabulary (NIH Toolbox) | uncorrected standard score |
| reading decoding | Oral Reading Recognition (NIH Toolbox) | uncorrected standard score |
| spatial processing | Little Man Task | % correct/avg. correct response time |
| decision-making | Game of Dice | # safe choices – # risky choices |
| (B) OUTCOME VARIABLES (y). | ||
| VARIABLE | SAMPLE SIZE (2-YEAR FOLLOW-UP) | SAMPLE SIZE (3-YEAR FOLLOW-UP) |
| externalizing (CBCL) | 4977 | 4742 |
| rule-breaking (CBCL) | 4977 | 4742 |
| aggression (CBCL) | 4977 | 4742 |
| internalizing (CBCL) | 4977 | 4742 |
| positive urgency (UPPS-P) | 5230 | – |
| negative urgency (UPPS-P) | 5230 | – |

Figure 3
DPM-LPA prior distribution (log-scale) on participant latent profile membership (z1:n) as a function of the number of latent profiles. Calculated with n = 5000 participants, with each new profile created by splitting the last one in half.

Figure 4
Comparisons of conventional LPA models with differing numbers of profiles (all variables are coded so that larger means better). Where applicable, a dashed horizontal line indicates the corresponding value from DPM-LPA.

Figure 5
Estimated latent profile means (μ) from DPM-LPA.

Figure 6
Estimated DPM-LPA latent profile outcome means (95% posterior credible interval).
Table 2
Summary of outcome analysis results. log10 (BF10) is the Bayes factor for the Bayesian ANOVA on a base-10 logarithmic scale. r2 is the effect size. is the mean value of the relevant outcome variable for profile j.
| (A) TWO YEAR FOLLOW-UP. | |||
|---|---|---|---|
| VARIABLE | log10 (BF10) | r2 | POST-HOC RESULTS |
| externalizing | 3.51 | 0.0090 | |
| rule-breaking | 11.59 | 0.0167 | |
| aggression | 1.22 | 0.0070 | |
| positive urgency | 18.87 | 0.0230 | |
| negative urgency | –0.47 | 0.0052 | NA (inconclusive) |
| internalizing | –1.57 | NA | NA (no differences) |
| (B) THREE YEAR FOLLOW-UP. | |||
| VARIABLE | log10 (BF10) | r2 | POST-HOC RESULTS |
| externalizing | 2.11 | 0.0079 | |
| rule-breaking | 8.01 | 0.0140 | |
| aggression | –0.85 | NA | NA (no differences) |
| internalizing | –0.62 | NA | NA (no differences) |
