Hi,
I'm trying to calculate the value of the variable, dp, below, in the
argument to the integral of dnorm(x-dp) * pnorm(x)^(m-1). This
corresponds to the estimate of the sensitivity of an observer in an
m-alternative forced choice experiment, given the probability of
a correct response, Pc, a Gaussian assumption for the noise and
no bias. The function that I wrote below gives me an error:
Error in f(x, ...) : recursive default argument reference
The problem seems to be at the statement using uniroot,
because the furntion est.dp works fine outside of the main function.
I've been using R for awhile but there are still many nuances
about the scoping and the use of environments that I'm weak on
and would like to understand better. I would appreciate any
suggestions or solutions that anyone might offer for fixing
my error. Thank you.
dprime.mAFC <- function(Pc, m) {
est.dp <- function(dp, Pc = Pc, m = m) {
pr <- function(x, dpt = dp, m0 = m) {
dnorm(x - dpt) * pnorm(x)^(m0 - 1)
}
Pc - integrate(pr, lower = -Inf, upper = Inf,
dpt = dp, m0 = m)$value
}
dp.res <- uniroot(est.dp, interval = c(0,5), Pc = Pc, m = m)
dp.res$root
}