On Thu, 25 Nov 2004, John Fox wrote:

Pinheiro and Bates discuss a three-parameter logistic growth model in their
Mixed Effects Models in S and S-PLUS, but as far as I know there's no direct
way to fit the 3PL IRT model in R. It should be possible to fit such a model
using one of the general optimisers in R, such as nlm() or optimise(), and I

optim(), not optimize() as there are at least two free parameters, I believe.


think that it would be a nice project to produce an IRT package for R.

As I understand it this is a logistic regression and not a logistic growth curve, the latter being fitted by least squares.


For a known baseline (which is thus a 2-free PL model but what seems asked for here), a glm family can be constructed to allow glm() to do the fitting. This is model described at

http://work.psych.uiuc.edu/irt/modeling_dich1.asp

with c known to be 0.25. It would certainly be worth having an implementation of that in R, with c=0.5 being the most common case.

It is quite straightforward to fit such models by direct optimization of the likelihood, and MASS4 p. 445 gives you a template for logistic regression that could easily be modified.


-----Original Message-----
To: [EMAIL PROTECTED]
Subject: [R] logistic regression and 3PL model

Hello colleagues,

I am a novice with R and am stuck with an analysis I am
trying to conduct.
Any suggestions or feedback would be very much appreciated.

I am analyzing a data set of psi (ESP) ganzfeld trials.  The
response variable is binary (correct/incorrect), with a 25%
base rate.  I've looked around the documentation and other
online resources and cannot find how I can correct for that
base rate when I conduct a logistic regression.  I understand
that the correction would be equivalent to the three
parameter logistic model (3PL) in IRT but am unsure how to
best fit it from a logistic regression in R.

-- Brian D. Ripley, [EMAIL PROTECTED] Professor of Applied Statistics, http://www.stats.ox.ac.uk/~ripley/ University of Oxford, Tel: +44 1865 272861 (self) 1 South Parks Road, +44 1865 272866 (PA) Oxford OX1 3TG, UK Fax: +44 1865 272595

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