\name{out_beta}
\alias{out_beta}
\docType{data}
\title{
  Estimation results of a Zero Inflated Beta IRT model fit to the Abasement data}
\description{
  The object returned by \code{fitBIRT} containing the results of a zero inflated beta IRT model fit to the Abasement data of the Adjectives Check List (ACL; Gough & Heilbrun, 1980). The Abasement scale has been analyzed using a zero-one inflated beta IRT model by Molenaar et al. (2022). See Table 10 for the model fit statistics of all ACL subscales including the Abasement subscale and see Table 11 for the parameter estimates of the Abasement scale. Note that the estimates in \code{out_beta} and the subsequent model fit statistics obtained using \code{bridgeBIRT} are based on a zero inflated model only, therefore, results are slightly different.}

\format{
A \code{BoundIRT} object obtained using

\code{set.seed(1310)}

\code{data(Abasement)}

\code{out_beta=fitBIRT(Abasement,model="beta")}
}

\references{
Gough, H. G., & Heilbrun, A. B. (1980). \emph{The adjective check list, manual 1980 Edition}.
Consulting Psychologists Press.

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}
}


\seealso{
\code{\link{fitBIRT}} to estimate various bounded continuous IRT models to data.

\code{\link{plot.BoundIRT}} to plot the item and test information curves and predicted densities for the different models.

\code{\link{coef.BoundIRT}} to extract item parameter estimates from a \code{BoundIRT} object.

\code{\link{loglikBIRT}} to calculate the log-likelihood for each person and each posterior sample. Needed to calculate WAIC and LOOIC for a given model.

\code{\link{repBIRT}} to simulate replicated datasets using (a subset of) the posterior parameter samples. For posterior predictive model checking.

\code{\link{bridgeBIRT}} to use bridge sampling to calculate the marginal loglikelihood for a model in a \code{BoundIRT} object.

\code{\link{latregBIRT}} to conduct a latent regression of the person parameters on some observed predictor variables.

\code{\link{rBIRT}} simulate data according to a (zero/one inflated) bounded IRT model.
}


\examples{

data(out_beta)

}
\keyword{datasets}
