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App

run_app()
Explore IRT models and how their parameters are estimated

Models

Response functions of the models in the Models menu

prob_4pl()
Four-parameter logistic item response function
prob_gpcm()
Category response curves of the generalized partial credit model
prob_grsm()
Category response curves of the generalized rating scale model
prob_grm()
Category response curves of the graded response model
prob_nrm()
Category response curves of the nominal response model
prob_tirt() prob_tirt_pair() prob_tirt_intercept()
Probit response functions of Thurstonian IRT
prob_mirt()
Response surface of a two-dimensional dichotomous item
info_mirt()
Information surface of a two-dimensional dichotomous item
item_vector()
Item vector of a compensatory two-dimensional item

Estimation

The estimation methods of the Estimation menu

response_pattern()
Response pattern of a raw score
simulate_responses()
Simulate dichotomous responses
loglik_surface()
Log-likelihood surface of an item's discrimination and difficulty
surface_maximum()
Highest point of a log-likelihood surface
loglik_rasch()
Log-likelihood of a response pattern under the Rasch model
newton_raphson_rasch()
Newton-Raphson steps towards the maximum likelihood estimate of ability
prior_weights()
Prior weights at quadrature points
eap_map()
EAP and MAP estimates of ability by quadrature

Plots

The plots of the app

plot_category_curves()
Plot category response curves
plot_tirt()
Plot a Thurstonian IRT response function
plot_mirt_surface()
Plot a surface over the ability plane
plot_mirt_contour()
Plot the contours of a two-dimensional item
plot_newton_raphson()
Plot a Newton-Raphson step
plot_loglik_surface()
Plot a log-likelihood surface
plot_loglik_surfaces()
Plot log-likelihood surfaces for several lower asymptotes
plot_prior() plot_tracelines() plot_likelihood() plot_posterior() plot_eap_combined()
Plot the parts of an EAP and MAP estimation

UI

Internal functions not meant to run independently

Server

Internal functions not meant to run independently