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Deng-Jyi Chen, Ah-Fur Lai and I-Chang Liu
Department of Computer Science and Information Engineering
National Chiao Tung University
Hsinchu, 300 Taiwan
E-mail: djchen@csie.nctu.edu.tw
The cognitive diagnostic test can be used to understand the learning effects (such as
strengths and weaknesses) of learners for a specific subject area. Based on the evaluation
results of the diagnostic test, instructors may suggest or give students additional material
on the subject area for students who do not meet the requirements. The S-P (Student-
Problem) model has been used for this purpose for a long time. However, the current
S-P model pays little attention to a student's response time for each test item or for
the entire question set during the test. The student's response time for each test item can
be an important factor for instructors wanting to diagnose each student's individual ability
in problem solving. Also, there are few computerized diagnostic test analysis systems
available that are designed to support both text-diagram-based and/or multimedia-based
presentation test items. In this research, we incorporate the response time, difficulty index, and discriminatory
index of each test item into an S-P model during the analysis. Specifically, we employ
two terms: 1) the nimbleness of thinking of a student, which can be measured based
on the response time for answering each test item, and 2) the problem solving ability of a
student, which can be measured based on the student's ability to solve adaptive type
questions with various difficulty levels and discrimination powers. With the incorporation
of these parameters, an enhanced S-P model is presented. It can be used to diagnose
both time dependent information and problem solving abilities with respect to test items
and test-takers. A web-based computerized system was designed and implemented based
on the enhanced S-P model for both text-diagram type presentation test items and multimedia
type presentation test items. Practical examples were investigated and experimental
studies conducted using the cognitive diagnostic computerized system to demonstrate
the rationality and applicability of the proposed enhanced S-P model.
Received July 4, 2004; revised March 15, 2005; accepted May 10, 2005.
Communicated by Robert Lewis.