psychometrics package, including structural equation model, confirmatory factor analysis, unidimensional item response theory, multidimensional item response theory, cognitive diagnosis model, factor analysis and adaptive testing. The package is still a doll. will be finished in future.
- binary response data IRT (two parameters, three parameters).
- grade respone data IRT (GRM model)
- EM algorithm (2PL, GRM)
- MCMC algorithm (3PL）
The approximate polychoric correlation is calculated, and the slope initial value is obtained by factor analysis of the polychoric correlation matrix.
- E step uses GH integral.
- M step uses Newton algorithm (sparse matrix is divided into non sparse matrix).
Gradient projection algorithm
GH integrals can only estimate low dimensional parameters.
- Dina
- ho-dina
- EM algorithm
- MCMC algorithm
- maximum likelihood estimation (only for estimating skill parameters of subjects)
- contains three parameter estimation methods(ULS, ML and GLS).
- based on gradient descent
- can be used for continuous data, binary data and ordered data.
- based on gradient descent
- binary and ordered data based on Polychoric correlation matrix.
For the time being, only for the calculation of full information item factor analysis, it is very simple.
principal component analysis
gradient projection
Thurston IRT model (multidimensional item response theory model for personality test)
Maximum information method for multidimensional item response theory
- numpy
- progressbar2
pip install psy
See demo
- theta parameterization of CCFA
- parameter estimation of structural equation models for multivariate data
- Bayesin knowledge tracing (Bayesian knowledge tracking)
- multidimensional item response theory (full information item factor analysis)
- high dimensional computing algorithm (adaptive integral, etc.)
- various item response models
- cognitive diagnosis model
- G-DINA model
- Q matrix correlation algorithm
- Factor analysis
- maximum likelihood estimation
- various factor rotation algorithms
- adaptive
- adaptive cognitive diagnosis
- other adaption model
- standard error and P value
- code annotation, testing and documentation.