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| Solidna analiza profili utajonych× | Modelowanie mieszanin× | |
|---|---|---|
| Dziedzina | Statystyka | Statystyka |
| Rodzina | Latent structure | Latent structure |
| Rok powstania≠ | 2010s | 1894 |
| Twórca≠ | Building on Vermunt & Magidson (2002); robust extensions developed through contaminated normal mixture literature (Punzo & McNicholas, 2010s) | Karl Pearson |
| Typ≠ | Person-centered mixture model with robust estimation | Latent variable / density estimation |
| Źródło pierwotne≠ | Vermunt, J. K. & Magidson, J. (2002). Latent class cluster analysis. In J. A. Hagenaars & A. L. McCutcheon (Eds.), Applied Latent Class Analysis (pp. 89–106). Cambridge University Press. ISBN: 978-0521594035 | McLachlan, G. J. & Peel, D. (2000). Finite Mixture Models. Wiley-Interscience. ISBN: 978-0471006268 |
| Inne nazwy | RLPA, robust LPA, robust mixture model for continuous indicators, outlier-robust latent profile analysis | finite mixture model, mixture distribution model, FMM, model-based clustering |
| Pokrewne≠ | 5 | 6 |
| Podsumowanie≠ | Robust latent profile analysis identifies latent subgroups of individuals based on their continuous multivariate indicators while protecting parameter estimates from distortion by outliers or atypical observations. It extends standard latent profile analysis by replacing the Gaussian component densities with heavier-tailed or contaminated-normal alternatives that down-weight extreme cases during estimation. | Mixture modeling assumes that a population is composed of K unobserved subpopulations, each described by its own probability distribution. The observed data are treated as draws from a weighted combination of these component distributions. It provides a principled, model-based alternative to ad hoc clustering and supports formal comparison of solutions with different numbers of components. |
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