Linganisha mbinu

	Regresheni ya Logistiki	Multilevel Modeling	Ulinganishaji wa Alama ya Mwelekeo
Nyanja	Takwimu za Utafiti	Takwimu za Utafiti	Takwimu za Utafiti
Familia	Process / pipeline	Process / pipeline	Process / pipeline
Mwaka wa asili	1958	1992	1983
Mwanzilishi	David Roxbee Cox	Anthony Bryk and Stephen Raudenbush	Paul Rosenbaum and Donald Rubin
Aina	Method	Method	Method
Chanzo asilia	Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242.	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	logit model, binomial logistic regression, LR	HLM, mixed-effects models, random effects models, MLM	PSM, propensity score weighting, covariate balance
Zinazohusiana	3	3	3
Muhtasari	Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.	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.