METHODS FOR EXTRACTING TRUE ABILITY AND CONFUSION IN STUDENTS’ TEST SCORES

Authors

  • Rowena A Decena
  • Marilou M Abatayo

Keywords:

true ability, confusion, Eigen analysis, test scores

Abstract

This paper explores a new method for extracting true ability and confusion in students’ test scores. Employing an Eigen analysis, the test scores of the students in Test1 and Test 2 respectively, are processed using the covariance matrix in order to determine the true ability and confusion of the students. Considering that the students get high scores; when variations exist by getting a lower score in their Test 1 than in Test 2, the result appears to have a high true ability but with little confusion. However, if the latter test is lower than the first test, the outcome indicates that the students obtained high true ability as well as high confusion. Meanwhile, for the students with low scores; if their first test is higher than their second test, the students can be interpreted with little ability and very confused; and if their Test 1 is lower than their Test 2, the students’ test scores are just a result of their guess works. On the other hand, if the students’ scores in the first test are equal to their last test, the test scores reflect the students’ true ability with no confusion. Hence, this concept is a realistic method of measuring the true ability and confusion of the students.

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Published

2017-01-03