قارن الطرق

	نموذج التأثيرات المختلطة	تحليل التباين للمقاييس المتكررة	نمذجة المعادلات البنيوية (SEM)
المجال	الإحصاء	الإحصاء	الإحصاء
العائلة	Regression model	Hypothesis test	Latent structure
سنة النشأة	1982	1992	1970
صاحب الطريقة	Laird & Ware	Girden (textbook treatment); Field (2013)	Karl Jöreskog (LISREL framework, 1970s)
النوع	Mixed effects regression	Parametric within-subjects mean comparison	Latent variable / causal modeling
المصدر التأسيسي	Laird, N. M., & Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics, 38(4), 963–974.	Field, A. (2013). Discovering Statistics Using IBM SPSS Statistics (4th ed., Ch. 14). SAGE. ISBN: 978-1446249185	Hair, J. F., Black, W. C., Babin, B. J. & Anderson, R. E. (2019). Multivariate Data Analysis (8th ed.). Cengage Learning. ISBN: 978-1473756540
الأسماء البديلة	LME, LMM, mixed model, random effects model	within-subjects ANOVA, repeated measures analysis of variance, rm-ANOVA, Tekrarlı Ölçüm ANOVA	Yapısal Eşitlik Modellemesi (SEM), structural equation modelling, covariance structure analysis, latent variable modeling
ذات صلة	4	4	5
الملخص	A mixed effects model (or linear mixed model) extends ordinary regression by including both fixed effects — population-level parameters shared by all observations — and random effects that capture subject-, group-, or cluster-level variability. It is the standard tool for repeated-measures, longitudinal, and multilevel data where observations within the same unit are correlated.	Repeated-measures ANOVA is a parametric hypothesis test that compares three or more measurements taken from the same individuals — typically across time points or conditions — to decide whether their means differ. It extends one-way ANOVA to within-subjects designs, as treated in standard references such as Girden (1992) and Field (2013).	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.