مقایسهٔ روش‌ها

	Ecological Inference	مدل داده‌های پانل پویا
حوزه	Political Science	اقتصادسنجی
خانواده	Regression model	Regression model
سال پیدایش	1997	1988–1991
پدیدآور	Leo Goodman (ecological regression); Gary King (statistical EI solution)	Arellano & Bond (1991); Holtz-Eakin, Newey & Rosen (1988)
نوع	Aggregate-data model inferring individual-level rates from grouped totals	Dynamic regression / GMM estimation
منبع بنیادین	King, G. (1997). A Solution to the Ecological Inference Problem: Reconstructing Individual Behavior from Aggregate Data. Princeton: Princeton University Press. ISBN: 9780691012414	Arellano, M., & Bond, S. (1991). Some tests of specification for panel data: Monte Carlo evidence and an application to employment equations. Review of Economic Studies, 58(2), 277–297.
نام‌های دیگر	EI, Ecological regression, King's ecological inference, Aggregate-to-individual inference	dynamic panel model, panel data model with lagged dependent variable, DPD model, Arellano-Bond model
مرتبط	5	5
خلاصه	Ecological inference is the problem of learning about individual behavior — such as how Black and white voters cast their ballots — when only aggregate data are available, like precinct-level turnout and racial composition. Because individual-level data are missing, the within-group rates are not directly observed; ecological inference recovers them by combining the deterministic accounting constraints that each precinct must satisfy with a statistical model of how the unobserved rates vary across precincts. Gary King's 1997 solution unified the deterministic method of bounds with Leo Goodman's classic ecological regression, sharply reducing the long-standing risk of the ecological fallacy.	The dynamic panel data model extends standard panel regression by including a lagged value of the outcome variable as a regressor, capturing persistence and adjustment dynamics. Because the lagged dependent variable is correlated with the unit-specific fixed effect, ordinary OLS or within estimators are biased; GMM-based methods using internal instruments are the standard remedy.