160 likes | 173 Views
This paper by John Little from Durham University explores the use of simulation to evaluate Rasch models. It outlines the background, approach, and provides examples of how simulation can be used to gain insights into respondent approaches. The paper concludes that simulation is a simple, powerful, and insightful tool for understanding and analyzing Rasch models.
E N D
Using Simulation to evaluate Rasch Models John Little CEM, Durham University www.cemcentre.org
Outline • Background • Approach • Uses and Examples • Conclusions
Background • Important questions without easy answers • Simulation is clean and easy • Real data is dirty and unknown • Understanding respondent approaches
Approach • Calculate probabilities • Simulate response as right or wrong • Create dataset • Analyse and compare
Adaptive testing Existing calibrated item bank Initial estimate of ability Suitable question asked Ability estimate updated Stopping criteria checked Ability reported
Adaptive testing Progression of Estimates
Adaptive testing Progression of Estimates
Adaptive testing Item bank restrictions
Adaptive testing Initial ability estimates
Adaptive testing Stopping criteria
Adaptive testing Initial item effects
Adaptive testing Initial item effects
Adaptive testing Initial item effects
Adaptive testing Fit statistics
Further questions • Effect of adding/removing items • The effect of biased or badly calibrated items • Comparison of real & simulated data • Effect of lengthening a test • Different initiation procedures • Effect of guessing • Effect of specific pupil behaviours
Conclusions • Simple • Powerful • Insightful