logitnnr: Logit link with a natural non-response parameter.

In trobinj/trtools: Miscellaneous Tools for Teaching Statistics

Logit link with a natural non-response parameter.

Description

Link function for logistic regression models with a (fixed/known) natural non-response parameter.

Usage

logitnnr(nnrp = 0)

Arguments

nnrp	Natural non-response parameter in [0,1).

Details

The logit link function with a natural non-response parameter is defined as log[E(Y) / (1 - \pi - E(Y))] and inverse link function E(Y) = (1 - \pi)/(1 + exp(-\eta)), where 0 \le \pi < 1 is the natural non-response parameter. Note that the usual logit link function is a special case where \pi = 0. The link function implies an upper asymptote of 1 - \pi for E(Y) as \eta approaches infinity.

Note

User-specified starting values for the regression parameters may be required in cases where \pi is substantially larger than zero. One strategy is to obtain these from a model with a smaller value of \pi

See Also

logitnr

trobinj/trtools documentation built on Jan. 28, 2024, 3:20 a.m.