Linganisha mbinu

	Multilevel Modeling	Ulinganishaji wa Alama ya Mwelekeo
Nyanja	Takwimu za Utafiti	Takwimu za Utafiti
Familia	Process / pipeline	Process / pipeline
Mwaka wa asili	1992	1983
Mwanzilishi	Anthony Bryk and Stephen Raudenbush	Paul Rosenbaum and Donald Rubin
Aina	Method	Method
Chanzo asilia	Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical Linear Models: Applications and Data Analysis Methods. SAGE Publications.	Rosenbaum, P. R., & Rubin, D. B. (1983). The central role of the propensity score in observational studies for causal effects. Biometrika, 70(1), 41–55.
Majina mbadala	HLM, mixed-effects models, random effects models, MLM	PSM, propensity score weighting, covariate balance
Zinazohusiana	3	3
Muhtasari	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.	Propensity score matching (PSM) is a method for reducing confounding bias in observational studies by balancing baseline characteristics between treatment groups, simulating randomization. Developed by Rosenbaum and Rubin (1983), it estimates the probability of receiving treatment given observed covariates, then matches or weights treated and control individuals with similar treatment probabilities. Widely used in medicine, epidemiology, and policy evaluation when randomized trials are infeasible or unethical, enabling estimation of treatment effects while controlling for selection bias.