Latent profile count selection blends fit statistics with theory.

Evidence

As discussed in prior work42, the process of identifying the number of profiles in LPA involves a combination of data and theory. Thus, we began by comparing model results from a one-profile model to a two-profile model, and so on until we reached a five-profile model. At that point, we felt we had a holistic sense of the number of profiles that best balanced the model fit statistics with our theory. The model fit statistics we focused on most closely were the log-likelihood value, Akaike’s Information Criterion (AIC), the Bayesian Information Criterion (BIC), and the Sample-Adjusted BIC (SABIC). For all of these indices lower values indicate better model fit, although the magnitude of the difference should also be considered. We also considered the model entropy (i.e., a measure of classification uncertainty; ranges from 0 to 1 with higher values representing greater classification certainty), as well as the results of the Lo-Mendell Rubin (LMR) test and the bootstrapped log likelihood test (BLRT), both of which compare the fit of the selected model to a model with k-1 profiles (i.e., a statistically non-significant result favors the more parsimonious model). Likewise, we aimed to avoid adding an additional profile if that additional profile accounted for less than 10% of the sample42 and/or did not fit with our theory. — Erin Cooley, Jazmin L. Brown-Iannuzzi, Nava Caluori, Nicholas Elacqua, and William Cipolli, White Americans who perceive themselves…, 37

Categorization

  • DEFINE: Clarifies the standard criteria (AIC, BIC, SABIC, entropy, LMR, BLRT) for deciding how many latent profiles to retain in LPA.
  • XREF: connects to: Combining exploratory and confirmatory factor analysis produces theory-driven results robust across samples — Ruiqian Li and Paul Froese, The Duality of American Christian…, 94; Stereotyping functions as profile construction for information processing under data scarcity or overload; Empirically-selected dogmatism scale items fail to replicate across samples, performing at chance level — Bob Altemeyer, The Authoritarian Specter, 4262

Broader Connections