Using Beta-binomial Distribution in Analyzing Some Multiple-Choice Questions of the Final Exam of a Math Course, and its Application in Predicting the Performance of Future Students*

Creating valid and reliable classroom tests are very important to an instructor for assessing student performance, achievement and success in the class. The same principle applies to the State Exit and Classroom Exams conducted by the instructors, state and other agencies. One powerful technique available to the instructors for the guidance and improvement of instruction is the test item analysis. This paper discusses the use of the beta-binomial distribution in analyzing some multiple-choice questions of the final exam of a math course, and its application in predicting the performance of future students. It is hoped that the finding of this paper will be useful for practitioners in various fields.