Home▸Education & Learning Tools▸Item Response Theory: Curve & Information Plotter

Item Response Theory: Curve & Information Plotter

Watch a computerized adaptive test unfold as live 2D plots: item characteristic curves, the test information function and the ability trace, all drawn from a real 2-parameter logistic IRT model re-estimated by Newton-Raphson maximum likelihood after every response.

Education & Learning Tools2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version

This is the 2D counterpart to the 3D Adaptive Testing Engine: the same real 2-parameter logistic Item Response Theory model, the same Newton-Raphson maximum-likelihood re-estimation and the same Fisher-information item-selection rule, but rendered as the mathematics itself — item characteristic curves, a live log-likelihood function and a running ability trace — rather than a spatial item bank. Watch the log-likelihood's peak track the Newton-Raphson estimate exactly, and compare how fast the standard error collapses under maximum-information selection versus random item order.

⚙ Under the hood

Watch the mathematics of a computerized adaptive test unfold as live 2D plots: real item characteristic curves from a 2-parameter logistic IRT model, a log-likelihood surface whose peak is the Newton-Raphson maximum-likelihood ability estimate, and a running theta-hat trace with its shrinking standard-error band.

item response theoryadaptive testingpsychometricseducationstatisticsmaximum likelihooddata visualization

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install