I know of no existing functions for estimating the parameters of this model 
using MCMC or MML. Many years ago, I wrote code to estimate this model using 
marginal maximum likelihood. I wrote this based on the using nlminb and 
gauss-hermite quadrature points from statmod. 

I could not find that code to share with you, but I do have code for estimating 
the 3PL in this way and you could modify the likelihood for the upper asymptote 
yourself.



-----Original Message-----
From: R-help [mailto:r-help-boun...@r-project.org] On Behalf Of ALYSSA FATMAH 
MASTURA
Sent: Thursday, January 18, 2018 10:15 AM
To: r-help@r-project.org
Subject: [R] MCMC Estimation for Four Parametric Logistic (4PL) Item Response 
Model

Good day Sir/Ma'am! This is Alyssa Fatmah S. Mastura taking up Master of 
Science in Statistics at Mindanao State University-Iligan Institute Technology 
(MSU-IIT), Philippines. I am currently working on my master's thesis titled 
"Comparing the Three Estimation Methods for the Four Parametric Logistic (4PL) 
Item Response Model". While I am looking for a package about Markov chain Monte 
Carlo (MCMC) method for 4PL model in this R forum, I found an sirt package of 
an MCMC method but only for the three parametric normal ogive (3PNO) item 
response model. However, my study focus on 4PL model. In line with this, I 
would like to know if there exist a function of MCMC method for 4PL model in R 
language. I am asking for your help to inform me if such function exist. I 
highly appreciate your response on this matter. Thank you so much. Have a great 
day ahead!



Alyssa

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