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Chunk #37 — Three methods to decide between latent dimensionality and latent categories — LVMM

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Does nature have joints worth carving? A discussion of taxometrics, model-based clustering and latent variable mixture modeling.
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Using LVMMs to distinguish between latent dimensions and categories requires great care when specifying the within-class factor structure. Specifying, for instance, the factor variances to be class specific versus class invariant can have a great impact on the number of classes of the best-fitting model (see Fig. 4; three components with equal variance or two components with unequal variance result in the same observed distribution).