An Empirical Study on Assessment of Item-Person Statistics and Reliability Using Classical Test Theory Measurement Methods

Recent developments in statistics and psychology supported an increase in quality of measurement in the educational area. The present study empirically examined the characteristics of item and person statistics of mathematics category of School Olympiad Examination (SOE) within the Classical Test Theory (CTT) measurement frameworks. When constructing tests, es-pecially in examining reliability of a test, CTT approach gives opportunity to obtain required targets easily. In this study, various statistics are used to judge the quality of the items. Mainly, item discrimination, item difficulty, item-total inter correlations are found to clarify real aspect of data. Before determining internal consistency, unidimensionality of mathematics examination is analyzed. In this process, Principal Component Analysis is implemented and using item component correlation, behaviors of items are detected from different point of view. Internal consistency is examined by Cronbach’s Alpha. Standard error of meas-urement is calculated to identify confidence interval around an observed score. As a conclusion, reliability of the mathematics part of the SOE is proved by CTT assumptions