Abstract
Computerized Adaptive Testing - CAT is a form of assessment test which requires fewer test questions to arrive at precise measurements of examinees' ability. One of the core technical components in building a CAT is mathematical algorithms which estimate examinee's ability and select the most appropriate test questions for those estimates. Those mathematical algorithms serve as a locomotive in operating the system of adaptive multiple-choice questions on computers. Our research aims to develop essential mathematical algorithms to a computerised system of adaptive multiple-choice tests. We also build a question bank of 500 multiple-choice questions standardised by IRT theory with the difficulty level follows the normal distribution satisfying Kolmogorov-Smirnov test, to measure the mathematical ability of students in grade 10. The initial outcome of our experiment of the question bank shows: the question bank satisfies the requirements from a psychometric model and the constructed mathematical algorithms meets the criteria to apply in computerised adaptive testing.
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