Constructing a Computerized Adaptive Test for Multidimensional Mathematical Competence: Development, Simulation, and Validation

This study utilized Item Response Theory (IRT) and Computerized Adaptive Testing (CAT) techniques to develop and preliminarily evaluate a multidimensional Mathematics Competence Assessment and Diagnosis (MCAD). The research consisted of three studies: First, we followed a five-step process to construct the item bank, which included Item Construction, Booklet Design, Participants, Procedure, and Data Analysis. Second, we conducted a simulation study to assess measurement precision and testing efficiency. The results indicated that MCAD’s measurement precision exceeded that of unidimensional CAT and random administration of items, requiring less than 33