# Project Details

Project Title: Choice Item Response Theory (cIRT)

Project URL: http://cran.r-project.org/web/packages/cIRT/

Code Repository: https://github.com/tmsalab/cIRT

Project Version: 1.1.0

Project Status: Frozen

Project Description: Jointly model the accuracy of cognitive responses and item choices within a bayesian hierarchical framework as described by Culpepper and Balamuta (2015) <doi:10.1007/s11336-015-9484-7>. In addition, the package contains the datasets used within the analysis of the paper.

# Features

## Highlights

• C++ Implementation of the hierarchial modeling framework for choice
• Three data sets containing information on how students did on the Revised Purdue Spatial Visualization Test (Revised PSVT:R) by Yoon, 2011.

## Modeling Framework

• Implementation of the hiercharical framework described in “A Hierarchical Model for Accuracy and Choice on Standardized Tests”
• Specifically, a choice inclusive Probit HLM and a Two Parameter Ogive Model.

## C++ Functions

• Random Number Generation for the following distributions: Wishart, Inverse Wishart, and Multivariate Normal
• Matrix Centering
• Direct Sum calculation

## Data

• Student Performance on Revised Purdue Spatial Visualization Test (Revised PSVT:R) by Yoon, 2011 in trial_matrix
• The choices students made among items presented to them in choice_matrix
• The end payout results for students based on their choices in payout_matrix
• One additional data set exists containing the student’s sex response in survey_data