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% Please edit documentation in R/BoundIRT-package.R
\docType{package}
\name{BoundIRT-package}
\alias{BoundIRT}
\alias{BoundIRT-package}
\alias{boundIRT}
\title{The 'BoundIRT' package.}
\description{
Bounded continuous data are encountered in many areas of test application.
Examples include visual analogue scales used in the measurement of personality, mood,
depression, and quality of life; item response times from tests with item deadlines;
confidence ratings; and pain intensity ratings. Using this package, item response theory (IRT)
models suitable for bounded continuous item scores can be fitted to data within a Bayesian framework.
The package draws on posterior sampling facilities provided by R-package 'rstan' (Stan Development Team, 2025).
Available models include the Beta IRT model by Noel and Dauvier (2007), the continuous response
model by Samejima (1973), the unbounded normal model by Mellenbergh (1994),
and the Simplex IRT model by Flores et al. (2020). All models can be
fitted with or without zero-one inflation (Molenaar et al., 2022).
Model fit comparisons can be conducted using the Watanabe–Akaike information criterion (WAIC),
the leave-one-out cross-validation information criterion (LOOIC), and the fully marginalized likelihood
(i.e., Bayes factors).
}
\references{
Flores, S., Bazan, J.L., & Bolfarine, H. (2020). A hierarchical
joint model for bounded response time and response accuracy. In M. Wiberg,
D. Molenaar, J. González,U. Bockenholt, & K. S. Kim (Eds.), \emph{Quantitative
psychology: The 84th Annual Meeting of the Psychometric Society, Santiago de
Chile, Chile} (pp. 95-109). Springer. \doi{10.1007/978-3-030-43469-4_8}

Mellenbergh, G. J. (1994). A unidimensional latent trait model for continuous
item responses. \emph{Multivariate Behavioral Research}, \bold{29}(3), 223-236.
\doi{10.1207/s15327906mbr2903_2}

Molenaar, D., Cúri, M., & Bazán, J.L. (2022). Zero and One Inflated Item Response
Theory Models for Bounded Continuous Data. \emph{Journal of Educational and
Behavioral Statistics}, \bold{47}, 693-735. \doi{10.3102/10769986221108455}

Noel, Y., & Dauvier, B. (2007). A beta item response model for continuous
bounded responses. \emph{Applied Psychological Measurement}, \bold{31}(1),
47-73. \doi{10.1177/0146621605287691}

Samejima, F. (1973). Homogeneous case of the continuous response model. \emph{Psychometrika},
\bold{38}(2), 203-219.\doi{10.1007/BF02291114}

Stan Development Team (2025). RStan: the R interface to Stan. R package
version 2.32.7. \url{https://mc-stan.org/}
}
\author{
\strong{Maintainer}: Dylan Molenaar \email{d.molenaar@uva.nl}

}
