statsmodels.stats.diagnostic.linear_lm¶

statsmodels.stats.diagnostic.linear_lm(resid, exog, func=None)[source]¶

Lagrange multiplier test for linearity against functional alternative

# TODO: Remove the restriction limitations: Assumes currently that the first column is integer. Currently it does not check whether the transformed variables contain NaNs, for example log of negative number.

Parameters:¶

resid : ndarray¶

residuals of a regression

exog : ndarray¶

exogenous variables for which linearity is tested

func : callable, default None¶

If func is None, then squares are used. func needs to take an array of exog and return an array of transformed variables.

Returns:¶

• lm (float) – Lagrange multiplier test statistic

• lm_pval (float) – p-value of Lagrange multiplier tes

• ftest (ContrastResult instance) – the results from the F test variant of this test

Notes

Written to match Gretl’s linearity test. The test runs an auxiliary regression of the residuals on the combined original and transformed regressors. The Null hypothesis is that the linear specification is correct.