statsmodels.regression.linear_model.OLSResults.compare_lm_test

OLSResults.compare_lm_test(restricted, demean=True, use_lr=False)

Use Lagrange Multiplier test to test whether restricted model is correct
Parameters: 

restricted (Result instance) – The restricted model is assumed to be nested in the current model. The result instance of the restricted model is required to have two attributes, residual sum of squares,
ssr , residual degrees of freedom, df_resid . 
demean (bool) – Flag indicating whether the demean the scores based on the residuals from the restricted model. If True, the covariance of the scores are used and the LM test is identical to the large sample version of the LR test.

Returns: 

lm_value (float) – test statistic, chi2 distributed

p_value (float) – pvalue of the test statistic

df_diff (int) – degrees of freedom of the restriction, i.e. difference in df between models

Notes
TODO: explain LM text