The following criteria were used to decide on the number
of classes to retain: Akaike information criterion (AIC), Bayesian information criterion (BIC) and sample - size adjusted BIC (adj BIC).54 Also, we used entropy to assess the
quality of classification, as well as the Vuong - Lo - Mendell - Rubin (VLMR) adjusted likelihood ratio test for the hypothesis that a
model with one less class performs just as well.