Nonparametric methodologies are proposed to assess college students' performance. Emphasis is given to gender and sector of High School. The application concerns the University of Campinas, a research university in Southeast Brazil. In Brazil college is based on a somewhat rigid set of subjects for each major. Thence a student's relative performance can not be accurately measured by the Grade Point Average or by any other single measure. We then define individual vectors of course grades. These vectors are used in pairwise comparisons of common subject grades for individuals that entered college in the same year. The relative college performances of any two students is compared to their relative performances on the Entrance Exam Score. A test based on generalized U-statistics is developed for homogeneity of some predefined groups. Asymptotic normality of the test statistic is true for both null and alternative hypotheses. Maximum power is attained by employing the union intersection principle.

中文翻译：

---

评估本科成绩的非参数方法

提出了非参数方法来评估大学生的表现。重点是高中的性别和部门。该申请涉及巴西东南部的一所研究型大学坎皮纳斯大学。在巴西，大学的每个专业都基于一套有点严格的科目。因此，学生的相对表现无法通过平均绩点或任何其他单一衡量指标来准确衡量。然后我们定义课程成绩的各个向量。这些向量用于对同一年进入大学的个人的普通科目成绩进行成对比较。将任意两名学生的相对大学成绩与他们在入学考试分数上的相对成绩进行比较。针对某些预定义组的同质性，开发了基于广义 U 统计的测试。检验统计量的渐近正态性对于原假设和替代假设均成立。最大功率是通过采用联合相交原则获得的。