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* [[Measurement invariance]] models <ref>{{cite journal |last1=Leitgöb |first1=Heinz |last2=Seddig |first2=Daniel |last3=Asparouhov |first3=Tihomir |last4=Behr |first4=Dorothée |last5=Davidov |first5=Eldad |last6=De Roover |first6=Kim |last7=Jak |first7=Suzanne |last8=Meitinger |first8=Katharina |last9=Menold |first9=Natalja |last10=Muthén |first10=Bengt |last11=Rudnev |first11=Maksim |last12=Schmidt |first12=Peter |last13=van de Schoot |first13=Rens |title=Measurement invariance in the social sciences: Historical development, methodological challenges, state of the art, and future perspectives |journal=Social Science Research |date=February 2023 |volume=110 |pages=102805 |doi=10.1016/j.ssresearch.2022.102805 |pmid=36796989 |hdl=1874/431763 |hdl-access=free }}</ref>
* [[Mixture model]] {{citation needed|date=July 2023}}
* [[Multilevel models]], hierarchical models (e.g. people nested in groups) <ref>{{Citation |last1=Sadikaj |first1=Gentiana |title=Multilevel structural equation modeling for intensive longitudinal data: A practical guide for personality researchers |date=2021 |url=https://linkinghub.elsevier.com/retrieve/pii/B9780128139950000339 |work=The Handbook of Personality Dynamics and Processes |pages=855–885 |access-date=2023-11-03 |publisher=Elsevier |language=en |doi=10.1016/b978-0-12-813995-0.00033-9 |isbn=978-0-12-813995-0 |last2=Wright |first2=Aidan G.C. |last3=Dunkley |first3=David M. |last4=Zuroff |first4=David C. |last5=Moskowitz |first5=D.S.|url-access=subscription }}</ref>
* Multiple group modelling with or without constraints between groups (genders, cultures, test forms, languages, etc.) {{citation needed|date=July 2023}}
* Multi-method multi-trait models {{citation needed|date=July 2023}}
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<ref name="Ing2024">{{cite report |type=Preprint |doi=10.1101/2024.06.13.598616 |title=Integrating Multi-Modal Cancer Data Using Deep Latent Variable Path Modelling |date=2024 |last1=Ing |first1=Alex |last2=Andrades |first2=Alvaro |last3=Cosenza |first3=Marco Raffaele |last4=Korbel |first4=Jan O. |doi-access=free }}</ref>
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