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Autocorrelation: Lagrange Multiplier Test with AR(1) Errors

Learn how to use the Lagrange Multiplier test with AR(1) errors in autocorrelation analysis. Follow steps like estimating with CRM, regressing against variables, and calculating LM statistic for error detection.

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Autocorrelation: Lagrange Multiplier Test with AR(1) Errors

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  1. Autocorrelation • Lagrange Multiplier Test with AR(1) Errors: • Yt=β1+β2Xt2+…+ βKXtK + et (i) et=ρet-1+ υt -1 < ρ < 1 • →Yt=β1+β2Xt2+… + β2XtK + ρet-1+ υt(ii) • LM test • Use CRM to estimate (i) • Regress est aganst a constant, Xt2,…,Xtk and es,t-1 • Calculate LM=(T-1)R2 • Reject H0, we have autocorrelated error if LM>χ21(α) • LM test is a large sample test, T>30 to be meaningful

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