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विषम-प्रसरण (Heteroskedasticity) के लिए गोल्डफेल्ड-क्वांट्ट परीक्षण×विषमता के लिए ब्रुश-पेगन परीक्षण×
क्षेत्रअर्थमितिअर्थमिति
परिवारHypothesis testRegression model
उद्भव वर्ष19651979
प्रवर्तकStephen Goldfeld & Richard QuandtTrevor Breusch & Adrian Pagan
प्रकारF-ratio test for heteroskedasticityLagrange-multiplier test for heteroskedasticity
मौलिक स्रोतGoldfeld, S. M., & Quandt, R. E. (1965). Some tests for homoscedasticity. Journal of the American Statistical Association, 60(310), 539–547. DOI ↗Breusch, T. S., & Pagan, A. R. (1979). A simple test for heteroscedasticity and random coefficient variation. Econometrica, 47(5), 1287–1294. DOI ↗
उपनामGQ Test, Goldfeld-Quandt Heteroskedasticity Test, Split-Sample Variance Ratio Test, Goldfeld-Quandt Homojenlik TestiBP test, Breusch-Pagan-Godfrey test, Lagrange multiplier test for heteroskedasticity, Breusch-Pagan değişen varyans testi
संबंधित33
सारांशThe Goldfeld-Quandt test, introduced by Stephen Goldfeld and Richard Quandt in 1965, is a classical diagnostic procedure for detecting heteroskedasticity in OLS regression. It operates by sorting observations according to a variable suspected of driving variance, omitting a central block, fitting separate regressions on the two tail sub-samples, and comparing their residual variances via an F-ratio. The test is particularly well-suited to situations where the error variance is believed to increase or decrease monotonically with an observed regressor.The 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.
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