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2017학년도 대학수학능력시험 영역별 정답배열 임의성 검정

Test of randomness for answers arrangement in 2017 College Scholastic Ability Test

  • Ahn, Sojin (Department of Statistics, Pukyong National University) ;
  • Lee, Jae Eun (Department of Statistics, Pukyong National University) ;
  • Jang, Dae-Heung (Department of Statistics, Pukyong National University)
  • 투고 : 2017.02.02
  • 심사 : 2017.04.21
  • 발행 : 2017.08.31

초록

선다형 문제의 경우 특정 위치의 답을 선호하는 수험생의 응답경향이 시험 결과에 미치는 영향을 최소화하기 위하여 정답배열을 특정위치에 편중되지 않고 고르게 분포할 필요가 있다. 이는 정답배열이 특정 번호에 편중되어 있으면 정답을 모를 때 중앙 또는 외곽 번호에 응답경향이 있는 수험생이 추측으로 문항의 답을 맞힐 수 있으므로 시험점수가 학생의 능력을 제대로 반영하지 못하는 결과를 초래할 수 있기 때문이다. 본 논문에서는 2017학년도 대학수학능력시험의 영역별 정답배열에 대하여 Bartels rank test, Wald-Wolfowitz runs test, turning point test, Cox Stuart trend test, difference sign test, Mann-Kendall rank test 등을 실시하여 정답배열이 고르게 분포되었는지 확인하였다. 또한 정답 번호와 배점 사이에 독립성이 지켜지지 않을 경우에도 특정 번호를 정답으로 선호하는 경향을 가진 수험생의 점수는 학생의 능력을 제대로 반영하지 못할 수 있기 때문에 정답의 위치와 배점 사이의 독립성 검정을 추가로 실시하였다.

In test with multiple choices, it is necessary to have the position of correct answers of each question spreaded evenly over all the questions in order to minimize the influence of answering tendency of test takers with preference to specific position of multiple choices. The scores of tests with correct answers in specific positions would not reflect exactly the academic aptitude of examinees who do not know correct answers but have the biased answering tendency. In this paper, we have randomness test for the positioning of correct answers at the 2017 College Scholastic Ability Test (CSAT) using Bartels rank test, the Wald-Wolfowitz runs test, the turning point test, the Cox Stuart trend test, the difference sign test and the Mann-Kendall tank test, etc. We also do independence test between the location of correct answer and the allocation of score in each question, for it may result in overestimating the test-taker with specific position preference in marking correct answers.

키워드

참고문헌

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