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Linganisha mbinu

Pitia mbinu ulizochagua bega kwa bega; safu zinazotofautiana zinaangaziwa.

Kipimo cha Durbin-Watson kwa Utegemezi wa Kiotomatiki×Mbinu ya Viwango Vidogo Vilivyopanuliwa (GLS)×
NyanjaEkonometrikiTakwimu
FamiliaRegression modelRegression model
Mwaka wa asili19501935
MwanzilishiJames Durbin & Geoffrey WatsonAlexander Craig Aitken
AinaTest for first-order residual autocorrelationLinear estimator
Chanzo asiliaDurbin, J., & Watson, G. S. (1950). Testing for serial correlation in least squares regression: I. Biometrika, 37(3/4), 409–428. DOI ↗Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗
Majina mbadalaDW test, Durbin-Watson statistic, Durbin-Watson otokorelasyon testiGLS, Aitken estimator, EGLS, feasible GLS
Zinazohusiana43
MuhtasariThe Durbin-Watson test, developed by James Durbin and Geoffrey Watson in 1950–1951, detects first-order serial correlation in the residuals of a linear regression. Its statistic ranges from 0 to 4, with a value near 2 indicating no autocorrelation, values toward 0 indicating positive autocorrelation, and values toward 4 indicating negative autocorrelation. It remains one of the most reported regression diagnostics despite well-known limitations.Generalized Least Squares (GLS) is a linear regression estimator that extends ordinary least squares to handle situations where the error terms are correlated or have non-constant variance (heteroscedasticity). Introduced by Alexander Craig Aitken in 1935, GLS achieves the Best Linear Unbiased Estimator (BLUE) under a general error covariance structure by weighting observations according to their precision, providing a theoretical bridge between OLS and modern linear mixed models.
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ScholarGateLinganisha mbinu: Durbin-Watson Test · Generalized Least Squares. Imepatikana 2026-06-19 kutoka https://scholargate.app/sw/compare