linkinv_cat3logit and linkinv_ord3logit compute the matrix
\(P\in[0,\,1]^{n\times 3}\) of probability distributions of the
dependent variable for categorical and ordinal models respectively.
Functions X2P_cat3logit and X2P_ord3logit perform the same computation,
except that the design matrix \(X\in\textbf{R}^{n\times k}\) and
the coefficient matrix \(B\in\textbf{R}^{k\times 2}\) are taken as
separate input arguments. linkinv and X2P apply the proper function
according to the type of model passed to argument model.
linkinv(XB, model)X2P(X, B, model)
linkinv_cat3logit(XB)
X2P_cat3logit(X, B)
linkinv_ord3logit(XB, alpha)
X2P_ord3logit(X, B, alpha)
Numeric matrix \([0,\,1]^{n\times 3}\) of probability distributions.
object of class matrix (or other coercible classes) such that
\(XB\in\textbf{R}^{n\times 2}\) for categorical models or
\(XB\in\textbf{R}^n\) for ordinal models.
object of class field3logit.
object of class matrix (or other coercible classes) such that
\(X\in\textbf{R}^{n\times k}\).
object of class matrix (or other coercible classes) such that
\(B\in\textbf{R}^{k\times 2}\) for categorical models or
\(B\in\textbf{R}^k\) for ordinal models.
numeric vector of length two where constants \(\alpha^{(1)}\)
and \(\alpha^{(2)}\) are stored (only for ordinal models), as
defined in Equation (7) of santi2019;textualplot3logit.
linkfun.