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Table 1 Summary of different LCA model fit criteria

From: Different needs in patients with schizophrenia spectrum disorders who behave aggressively towards others depend on gender: a latent class analysis approach

Number of classes

Number of estimated parameters

Residual degrees of freedom

Maximum log-likelihood

AIC

BIC

scBIC

Entropy

Number of times solution was found

1 (without covariate)

96

274

− 11195

22582

22957

23221

500/500

2 (with covariate)

193

177

− 10677

2741

22496

23024

0.8806

491/500

2 (without covariate)

194

176

− 1674

21737

22496

23027

0.8827

488/500

3 (without covariate)

290

80

− 10475

21530

22665

23460

0.889

32/500

  1. BIC is considered the most relevant criterion for model selection according to which the two-class model indicated best model fit (highlighted with bold type). In the two-class model with covariate, initialisation of the priors was based on the potential class-predictor gender, but did not show any relevant differences to the two-class model without covariate. For the purpose of this study, subsequent results were based on the two-class model with covariate. Higher values of maximum log-likelihood indicate a better model fit but favour overfitting. Information criteria penalise the number of estimated parameters to prevent overfitting: AIC, Akaike’s Information Criterion; BIC, Bayesian Information Criterion; scBIC, sample-size-corrected Bayesian Information Criterion; Lower AIC, BIC and scBIC values indicate a good and parsimonious model fit. Entropy, measure of classification uncertainty with higher numbers indicating a better class separation; number of times solution was found = number of times solution was found out of 500 random initializations of prior probabilities to avoid local extrema, with higher numbers indicating a more unambiguous result