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آزمون بروش-پاگان برای ناهمسانی واریانس×رگرسیون حداقل مربعات معمولی (OLS)×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش19792019
پدیدآورTrevor Breusch & Adrian PaganWooldridge (textbook treatment); classical least squares
نوعLagrange-multiplier test for heteroskedasticityLinear regression
منبع بنیادینBreusch, T. S., & Pagan, A. R. (1979). A simple test for heteroscedasticity and random coefficient variation. Econometrica, 47(5), 1287–1294. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
نام‌های دیگرBP test, Breusch-Pagan-Godfrey test, Lagrange multiplier test for heteroskedasticity, Breusch-Pagan değişen varyans testiordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
مرتبط35
خلاصهThe Breusch-Pagan test, introduced by Trevor Breusch and Adrian Pagan in 1979, is a Lagrange-multiplier test for heteroskedasticity — the condition where the variance of a regression's errors changes with the explanatory variables. It works by regressing the squared OLS residuals on candidate variables and checking whether they explain any of the residual variation, signalling that the constant-variance assumption is violated.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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ScholarGateمقایسهٔ روش‌ها: Breusch-Pagan Test · OLS Regression. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare