Table 1:

Examples of generalized linear models (GLMs) and their representations in R.

GLM family / Regression type	Response type	Representation in R
Gaussian	$\mathbb{R}$	gaussian()
Logistic	{0, 1}	binomial()
Probit	{0, 1}	binomial(link = "probit")
Quasi-Binomial	{0, 1}	quasibinomial()
Poisson	${\mathbb{N}}_0=\{0,1,\dots \}$	poisson()
Quasi-Poisson	${\mathbb{N}}_0$	quasipoisson()
Negative binomial	${\mathbb{N}}_0$	MASS::negative.binomial(theta = 3)
Gamma	${\mathbb{R}}_{+}=[0,\infty )$	Gamma()
Inverse Gaussian	${\mathbb{R}}_{+}$	inverse.gaussian()
Tweedie	Depends on variance power parameter	statmod::tweedie()