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Chunk #45 — Comparison of the three methods — Comparisons with simulated data

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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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To compare any two or all three of the described methods it would be ideal to generate data sets with increasing deviations from each method’s assumptions while keeping sample and effect sizes constant (i.e. deviations from linear association, zero within-cluster covariance and multivariate normality, along with model misspecifications of LVMMs). The different methods can then be applied to the generated data, permitting a structured comparison.