Two Parameter Logistic Model with Lognormal Response Time for Computer-based Testing

Wulansari, Andhita Dessy (2019) Two Parameter Logistic Model with Lognormal Response Time for Computer-based Testing. International Journal Emerging Technologies in Learning, 14 (15). pp. 138-158. ISSN 1863-0383

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In addition to the information on response pattern/accuracy, Computer-Based Testing (CBT) can also generate information on response time. This research contributes to develop two-parameter logistic model with random variables of re-sponse time for CBT power test. Based on that model, the probability of the test taker answering the test questions correctly is influenced by the test taker’s abil-ity, the test question’s discriminating power, the question’s level of difficulty, the delay due to the test question’s factors and response time. The development of this model aims to improve the parameter estimation of the logistic model on Item Response Theory (IRT) which does not consider the response time of the model. This model is simultaneously developed using joint distribution concept, by mul-tiplying the conditional distribution of response accuracy (two-parameter logistic model) by response time with marginal distribution of response time. The mar-ginal distribution chosen in this study is lognormal distribution because it has positive value in the form of positive skewed according to the characteristics of the response time. To prove the model is suitable for power test, is tested using CBT data. The study found that the simultaneous model generated from the mul-tiplication between the two-parameter logistic model integrated with response time and the lognormal response time model is an appropriate model for CBT power test.

Item Type: Journal Article
Uncontrolled Keywords: logistic model; response time; lognormal; joint distribution; cbt
Subjects: 17 PSYCHOLOGY AND COGNITIVE SCIENCES > 1701 Psychology > 170109 Personality, Abilities and Assessment
Divisions: Fakultas Ilmu Tarbiyah dan Keguruan > Jurusan Pendidikan Agama Islam
Depositing User: Ms. Andhita Dessy Wulansari
Date Deposited: 16 Aug 2019 11:41
Last Modified: 16 Aug 2019 11:41

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