Ken Knoblauch wrote on 3/9/2005 10:27 AM:
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
}



Ken,

Look at the argument list for ?uniroot and think "partial matching". You're "m" is being interpretted for "maxiter". Simply change to

dp.res <- uniroot(est.dp, interval = c(0,5), Pc = Pc, m0 = m)

and in other places for consistency and the error goes away. Of course, since you gave no working example, I'm not sure if other errors are present that I'm missing.

--sundar

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