Comparing quality of admission to universities by the results of olympiads and unified state exams scores

To compare the quality of admissions to various educational programs in higher education institutions we propose to use the adjusted demand curves. These curves are derived from the results of unified state exams (USE) of tuition-free students and students enrolled as olympiad winners without entrance examinations. To eliminate the influence of the admission exam composition (USE subjects and number of exams) in various programs we propose two methods of correction exams scores. The first method assumes a linear correction of the total USE score of individual student. This method is based on the known mean values and standard deviations of scores for individual subjects. In the second method, a nonlinear correction of the USE score for each individual subject is produced. In this method the standard distribution is preselected and its distribution parameters are used when USE scores are recalculated. As an example, a beta distribution is used as a standard distribution.