A nonparametric approach to assess undergraduate performance

Autor(es)

Pinheiro, Hildete P. ; Sen, Pranab K. ; Pinheiro, Aluisio ; Kiihl, Samara F.

• Tipo de documento: Artigo Científico
• Fonte: STATISTICA NEERLANDICA; v. 74, n. 4, p. 21-pg., 2020-08-12.

Resumo

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 studies are based on a somewhat rigid set of subjects for each major. For this reason a simple GPA comparison may hide true performance. Therefore, we define individual vectors of course grades. These vectors are used in pairwise comparisons of common subject grades for individuals who entered college in the same year. The relative college performances of any two students are compared with their relative performances on the entrance exam score. A procedure based on generalizedU-statistics is developed to test if there is selection bias in the entrance exam by some predefined groups, which is equipped with asymptotically normal distribution under both null and alternative hypotheses. Maximum power is attained by employing the union intersection principle, and resampling techniques such as nonparametric bootstrap are employed to generate the empirical distribution of the test statistics and getp-values. (AU)

• Processo FAPESP: 13/09357-9 - Física e geometria do espaço-tempo
• Beneficiário: Alberto Vazquez Saa
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 11/15047-7 - Aplicações de medidas de diversidade e quase U-estatísticas
• Beneficiário: Hildete Prisco Pinheiro
• Modalidade de apoio: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 18/04654-9 - Séries temporais, ondaletas e dados de alta dimensão
• Beneficiário: Pedro Alberto Morettin
• Modalidade de apoio: Auxílio à Pesquisa - Temático