THE CALCULATION AND INTERPRETATION OF THE ENTROPIES OF THE TEST RESULT IN EDUCATION

Abstract

Author(s): Tu?ba ZKAL YILDIZ, U?ur ATE?

In this study, entropy that is an important subject in information theory is applied in test results in education with the aim of measurement and evaluation. Firstly, the test that is approved in terms of reliability, validity, and applicability is administered. The test is applied to 31 chosen freshmen out of 180 with simple random sampling from Vezirköprü Vocational and Technical Anatolian High School. Some descriptive statistics on the scores obtained from subscales of the test: Mathematics, Grammar, Social Studies and Sciences, are calculated and based on the probability functions of the test scores, entropy values are computed and interpreted. According to these entropies, it is sufficient to ask 10 questions so as to be informed about readiness of students who have just started Vezirkopru Vocational and Technical Anatolian High School. Consequently, it has been concluded that the same result may be obtained by measuring student levels with the fewest questions possible for each lesson the obtained information with the test of 100 questions that includes the subscales of Mathematics, Grammar, Social Studies and Sciences. The results of entropies are evidents that a teacher can reach a conclusion in a more practical way using fewer questions while doing descriptive evaluation.

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