7.2.3.3.6.5. statsmodels.genmod.families.family.NegativeBinomial.resid_anscombe¶

NegativeBinomial.resid_anscombe(endog, mu)[source]¶

The Anscombe residuals for the negative binomial family

Parameters:	endog : array-like Endogenous response variable mu : array-like Fitted mean response variable
Returns:	resid_anscombe : array The Anscombe residuals as defined below.

Notes

resid_anscombe = (hyp2f1(-alpha*endog)-hyp2f1(-alpha*mu)+ 1.5*(endog**(2/3.)-mu**(2/3.)))/(mu+alpha*mu**2)**(1/6.)

where hyp2f1 is the hypergeometric 2f1 function parameterized as hyp2f1(x) = hyp2f1(2/3.,1/3.,5/3.,x)