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	मिश्रण मॉडलिंग	अव्यक्त प्रोफ़ाइल विश्लेषण (LPA)
क्षेत्र	सांख्यिकी	मनोमिति
परिवार	Latent structure	Latent structure
उद्भव वर्ष	1894	2010
प्रवर्तक	Karl Pearson	Lazarsfeld & Henry; Collins & Lanza
प्रकार	Latent variable / density estimation	Person-centered finite mixture model
मौलिक स्रोत	McLachlan, G. J. & Peel, D. (2000). Finite Mixture Models. Wiley-Interscience. ISBN: 978-0471006268	Collins, L. M., & Lanza, S. T. (2010). Latent Class and Latent Transition Analysis. Wiley. ISBN: 978-0-470-22839-7
उपनाम	finite mixture model, mixture distribution model, FMM, model-based clustering	Continuous Latent Class Analysis, Gaussian Profile Mixture Model, Person-Centered Cluster Analysis, Gizil Profil Analizi
संबंधित	6	2
सारांश	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.	Latent Profile Analysis (LPA) is a person-centered finite mixture modeling technique that identifies unobserved subgroups — called profiles — within a population based on patterns of scores across multiple continuous indicators. Rooted in Lazarsfeld and Henry's latent structure tradition and formally synthesized for applied behavioral research by Collins and Lanza (2010), LPA assumes that observed heterogeneity in continuous data arises from a discrete number of latent classes, each characterized by a unique multivariate mean profile.