Linganisha mbinu

	Nadharia ya Jumla ya Ngazi Nyingi	Multilevel Modeling
Nyanja	Saikometriki	Takwimu za Utafiti
Familia	Latent structure	Process / pipeline
Mwaka wa asili	1990s–2000s	1992
Mwanzilishi	Brennan, R. L. and Shavelson, R. J. (extensions of Cronbach et al. G-theory to multilevel designs)	Anthony Bryk and Stephen Raudenbush
Aina	Measurement / variance decomposition	Method
Chanzo asilia	Briggs, D. C. & Wilson, M. (2003). An introduction to multidimensional measurement using Rasch models and generalizability theory. Journal of Applied Measurement, 4(1), 1–19.	Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical Linear Models: Applications and Data Analysis Methods. SAGE Publications.
Majina mbadala	multilevel G-theory, ML-GT, hierarchical generalizability theory, multilevel G-study	HLM, mixed-effects models, random effects models, MLM
Zinazohusiana	4	3
Muhtasari	Multilevel generalizability theory extends classical G-theory to measurement designs where observations are nested within higher-level units — for example, items nested within raters, or students nested within classrooms. It decomposes score variance into components attributable to persons, facets, and their interactions across hierarchical levels, enabling precise estimation of measurement precision in complex, real-world assessment settings.	Multilevel modeling (also called hierarchical linear modeling, mixed-effects modeling) is a statistical framework for analyzing data organized in nested or clustered structures—students within schools, patients within hospitals, repeated measures within individuals. Developed by Bryk and Raudenbush (1992), it accounts for dependency among observations and partitions variance into levels (within-cluster and between-cluster), enabling valid inference and revealing context effects. Essential in education, medicine, organizational research, and any field where data have natural hierarchies.