Study on Enumerating the Degree of Similarity in Pairs of the Stnadardized Scores and Lower and Upper tail Probabilites using the Folded Normal Distribution

동형고사에서 표준점수차의 확률분포를 이용한 상사성의 측정과 평가치 산정에 관한 연구

In this thesis we concerned with the degree of similarity in pairs of scores having a common mean and variance could express similarity in terms of the absolute difference between the standardized scores. We particulary discussed the distribution of absolute differences between pairs of T scores among many standardized scores and demonstrated the procedures for calculating the lower limit of Med(│d│) values i. e. the maximum possible similarity with medians and correlation coefficients of the equivalent form tests by using the folded normal distribution, although other researchers expressed the degree of similarity using only the standard normal distribution. We also described many cases how to use those techniques and to apply effectively them in real evaluation fields.