Linganisha mbinu

	Uchambuzi Imara wa Data za Paneli	Mfumo wa Athari Nasibu za Paneli
Nyanja	Ekonometriki	Ekonometriki
Familia	Regression model	Regression model
Mwaka wa asili	1987	1966
Mwanzilishi	Arellano (1987); White (1980) heteroscedasticity-consistent framework	Balestra & Nerlove
Aina	Robust estimation / inference correction	Panel data estimator
Chanzo asilia	Arellano, M. (1987). Computing robust standard errors for within-groups estimators. Oxford Bulletin of Economics and Statistics, 49(4), 431–434.	Balestra, P., & Nerlove, M. (1966). Pooling cross section and time series data in the estimation of a dynamic model: The demand for natural gas. Econometrica, 34(3), 585–612.
Majina mbadala	robust panel regression, cluster-robust panel estimation, panel regression with robust standard errors, HC/CR panel estimator	random effects estimator, RE model, GLS random effects, error components model
Zinazohusiana	6	5
Muhtasari	Robust panel data analysis applies standard panel estimators — fixed effects, random effects, or pooled OLS — while replacing conventional standard errors with cluster-robust or heteroscedasticity-consistent (HC) variants. The point estimates remain unchanged; what changes is the variance-covariance matrix used for inference, making t-tests and F-tests valid even when errors are heteroscedastic or correlated within cross-sectional units over time.	The panel random effects (RE) model treats individual-specific effects as random draws from a population distribution rather than fixed constants, enabling efficient estimation by generalised least squares and allowing inference about time-invariant regressors that are swept away in fixed effects estimation.