RaschSampler

Author: Patrick Mair, Reinhold Hatzinger, Norman D. Verhelst
Contact: https://cran.r-project.org/web/packages/RaschSampler/index.html
Description: This package implements an MCMC algorithm for sampling of binary matrices with fixed marginscomplying to the Rasch model. Its stationary distribution is uniform. The algorithm also allows forsquare matrices with fixed diagonal.Parameter estimates in the Rasch model only depend on the marginal totals of the data matrix thatis used for the estimation. From this it follows that, if the model is valid, all binary matrices withthe same marginals as the observed one are equally likely. For any statistic of the data matrix, onecan approximate the null distribution, i.e., the distribution if the Rasch model is valid, by taking arandom sample from the collection of equally likely data matrices and constructing the observeddistribution of the statistic. One can then simply determine the exceedence probability of the statis-tic in the observed sample, and thus construct a non-parametric test of the Rasch model. The mainpurpose of this package is the implementation of a methodology to build nonparametric tests for theRasch mode
Analyses: Factor/Latent Structure; Multilevel Data
System Requirements: Windows, Mac OS, & Linux
Measurement Model: Rasch
License Type: Open-Source (R)
Documentation: user manual