2026-10-12T04:50:10Z https://api.figshare.com/v2/oai

oai:figshare.com:article/30689014 2026-09-25T10:56:45Z category_13 category_734 category_811 category_106 category_133 portal_87 item_type_3 month_year_09_2026

An empirical power comparison of directional goodness-of-fit tests for 2-PL IRT model under different intercept patterns Jinhui Xu (575158) Jingwen Chen (489529) Mark Reiser (591042) Genetics Biological Sciences not elsewhere classified Mathematical Sciences not elsewhere classified Science Policy Plant Biology Intercept patterns 2-PL IRT model lagrange multiplier test model misspecification directional goodness-of-fit testing sparse data <p>This study investigates the impact of intercept patterns, including symmetric, asymmetric, zeros on the performance of Lagrange Multiplier (LM) tests in two-parameter item-response theory (2-PL IRT) models, comparing it with three other directional goodness-of-fit tests on empirical Type I error rates and power. A series of simulation results show that intercept patterns significantly affect test performance, with zero intercepts yielding the highest power; LM has the best performance that excels in controlling Type I error rates and has higher empirical power. The application to fraction subtraction data confirms LM's efficacy in detecting local dependence under sparsity. The findings offer methodological insights for goodness-of-fit testing under model misspecification.</p> 2025-11-23T14:01:23Z Dataset Dataset 10.6084/m9.figshare.30689014.v2 https://figshare.com/articles/dataset/An_empirical_power_comparison_of_directional_goodness-of-fit_tests_for_2-PL_IRT_model_under_different_intercept_patterns/30689014 CC BY 4.0