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logit_link_private <-function( guessing, lapsing ) {
#
# THIS IS AN INTERNAL FUNCTION: USE LOGIT_LINK INSTEAD
#
# Logit link for use with GLM functions
#
# The guessing rate and lapsing rate are fixed, hence link is
# a function of only one variable.
#
# INPUT
#
# guessing - guessing rate
# lapsing - lapsing rate
#
# OUTPUT
#
# link - logit link for use in all GLM functions
# LINK FUNCTIONS
# LOGIT WITH LIMITS
# link
logitFL<-function( mu, g, l ) {
mu<-pmax( pmin( l - .Machine$double.eps, mu ), g
+ .Machine$double.eps );
return( log( ( mu - g ) / ( l - mu ) ) );
}
# derivative
logitFD<-function( eta, g, l ) {
eta <- pmax( log( .Machine$double.eps / ( l - g ) ), eta );
eta <- pmin( log( ( l - g ) / .Machine$double.eps ), eta );
return( (l - g) * exp( -eta ) / ( 1 + exp( -eta ) )^2 );
}
# inverse link
logitFI<-function( eta, g, l ) {
eta <- pmax( log( .Machine$double.eps / ( l - g ) ), eta );
eta <- pmin( log( ( l - g ) / .Machine$double.eps ), eta );
return( g + ( l - g ) / ( 1 + exp( -eta ) ) );
}
# User-defined link
linkuser <- function( guessing, lapsing ) {
linkl <- "logitFL";
linkd <- "logitFD";
linki <- "logitFI";
linkfun <- function(mu) eval( call( linkl, mu, guessing, 1-lapsing ) );
linkinv <- function(eta) eval( call( linki, eta, guessing, 1-lapsing ) );
mu.eta <- function(eta) eval( call( linkd, eta, guessing, 1-lapsing ) );
link <- paste("logit( ", "c(", guessing, ", ", 1-lapsing, ")", " )",
sep = "" );
structure(list(linkfun = linkfun, linkinv = linkinv,
mu.eta = mu.eta, name = link),
class = "link-glm" );
}
# MAIN PROGRAM
return( linkuser( guessing, lapsing ) );
}
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