Sains Malaysiana 41(8)(2012): 1043–1049

Sistem Pemarkahan Berasaskan Pemberat dan Persentil Taburan

(Assessment System Based on Weight and Percentile of Distribution)

Hamizun bin Ismail*, Azmin Sham Rambely & Rokiah Rozita Ahmad

Pusat Pengajian Sains Matematik, Fakulti Sains dan Teknologi, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

Received: 21 September 2011 / Accepted: 25 October 2011

ABSTRACT

Kaedah pemarkahan dan penggredan sering dibincangkan dalam aspek penilaian pelajar. Kertas kerja ini bertujuan untuk membincangkan kaedah pemarkahan dan penggredan menggunakan persentil taburan markah. Kaedah pemarkahan dengan menggunakan min dan songsangan varians markah bagi setiap soalan dalam suatu peperiksaan sebagai pemberat kepada soalan berkenaan dibincangkan. Dalam membincangkan penggredan menggunakan persentil taburan markah, persentil boleh ditentukan dengan menganggar taburan bagi markah peperiksaan. Penganggaran dan penentuan persentil bagi dua taburan iaitu taburan normal dan taburan gamma digunakan. Perbandingan dilakukan terhadap keputusan bagi beberapa senario yang diperoleh. Keputusan menunjukkan bahawa kaedah pemarkahan berpemberat yang menggunakan pemberat yang berasaskan kepada tahap kesukaran soalan boleh digunakan untuk mernghasilkan peringkat gred yang lebih jelas dalam kalangan pelajar.

Kata kunci: Penggredan; penilaian; tahap kesukaran

ABSTRAK

Assessment and grading methods are two important aspects in student evaluation. This paper proposes a method of assessing and grading using percentile of the distribution of examination scores. Assessment methods using the mean and the inverse of variance from the distribution in an examination as weights were discussed. In grading using percentile of the distribution of scores, percentiles can be determined by estimating the distribution of exam scores. Estimation and determination of percentile of the distribution of two distributions, namely normal and gamma distributions were used. Comparisons of results obtained under different scenarios were presented. The result showed that the weighted scoring method that gives weights based on the level of difficulty of the questions can be used to formulate a comprehensible grade distinction among students.

Keywords: Assessment; grading; level of difficulty

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*Corresponding author; email: hamizun@ukm.my