• Communications for Statistical Applications and Methods
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• v.16 no.4
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• pp.627-637
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• 2009

Our economic system highly depends on the international trade market and demands high level of foreign language abilities to the young generation. Scores of various internationally authorized language tests are used to estimate students's language ability before giving their admission to universities or high schools. According to increase of unemployment rate of the young people, universities put their strength on the language abilities of their students, and each university uses some authorized language scores before determining students who win scholarships. This study suggests two types of indices to evaluate students's relative achievement of foreign language abilities between two time points considering their current abilities. One, named one-side relative achievement index, is defined as the ratio of additional score between two time points to the remaining score at the base time point to the full score. The second one, named two-side relative achievement index, is defined as the same manner as the first one if the score is improved, and if not, is defined as the ratio of the amount of losing scores to the current score at the base time point. Two-side achievement index is more useful since it has smaller variation than the former and is easier to interpret. However, both indices are useful to compare the achievements of different tests.

• Journal of the Korean Data and Information Science Society
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• v.20 no.4
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• pp.629-637
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• 2009

This study suggests two types of indices to evaluate individual student's achievement of foreign language abilities between two time points. One, named uniform achievement index, is defined as the ratio of additional score between two time points to the total score range of a test. The second one, named relative achievement index, is defined as the ratio of additional scores between two time points to the remaining score at the base time point to the full score if the score is improved during the given period of time, and if not, is defined as the ratio of the amount of losing scores to the difference of the score at the base time point from the least score of the test. Two indices are both having values between -1 to 1, and easy to interpret. Also, they are eligible to compare scores from different tests at the same time. However, relative achievement index will be more useful to compare student having different base scores because it is consider each student's test score at the base time.