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| Latent Class Analysis (LCA)× | Clusteranalyse× | Strukturelle Gleichungsmodellierung (SEM)× | |
|---|---|---|---|
| Fachgebiet | Statistik | Statistik | Statistik |
| Familie | Latent structure | Latent structure | Latent structure |
| Entstehungsjahr≠ | 1950 | 1939–1967 | 1970 |
| Urheber≠ | Paul F. Lazarsfeld | Robert C. Tryon (early development); Ward (1963) for hierarchical; MacQueen (1967) for k-means | Karl Jöreskog (LISREL framework, 1970s) |
| Typ≠ | Latent variable / probabilistic clustering | Unsupervised classification / grouping | Latent variable / causal modeling |
| Wegweisende Quelle≠ | Hagenaars, J. A. & McCutcheon, A. L. (Eds.) (2002). Applied Latent Class Analysis. Cambridge University Press. ISBN: 978-0521594516 | Everitt, B. S., Landau, S., Leese, M. & Stahl, D. (2011). Cluster Analysis (5th ed.). Wiley. ISBN: 978-0470749913 | Hair, J. F., Black, W. C., Babin, B. J. & Anderson, R. E. (2019). Multivariate Data Analysis (8th ed.). Cengage Learning. ISBN: 978-1473756540 |
| Aliasnamen≠ | Gizil Sınıf Analizi (LCA), latent class model, latent structure analysis | clustering, unsupervised classification, data clustering, numerical taxonomy | Yapısal Eşitlik Modellemesi (SEM), structural equation modelling, covariance structure analysis, latent variable modeling |
| Verwandt≠ | 3 | 5 | 5 |
| Zusammenfassung≠ | Latent class analysis is a probabilistic model-based clustering technique that identifies unobserved subgroups — latent classes — within a population on the basis of patterns of categorical, binary, or ordinal indicator responses. Originating in sociological measurement theory with Lazarsfeld's latent structure work around 1950 and formalised computationally by Goodman in the 1970s, it is widely used in the social, health, and behavioural sciences to reveal hidden population heterogeneity. | Cluster analysis is a family of unsupervised multivariate techniques that partition a set of objects or observations into internally homogeneous, mutually distinct groups — clusters — based on measured characteristics, without any prior knowledge of group membership. It is widely used in market segmentation, bioinformatics, psychology, and social science to reveal natural groupings in data. | Structural equation modeling is a multivariate statistical framework that simultaneously estimates a measurement model — relating observed indicators to latent constructs — and a structural model specifying directional or reciprocal relationships among those constructs. Rooted in the LISREL tradition developed by Karl Jöreskog in the 1970s, SEM is the standard tool for testing complex theoretical models in the social, behavioural, and management sciences. |
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