Searching for a common pooling pattern among several samples

The grades of a Spanish university access exam involving 10 graders are analyzed. The interest focuses on finding the greatest group of graders showing similar grading patterns or, equivalently, on detecting if there are graders whose grades exhibit significant deviations from the pattern determined...

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Главные авторы: Álvarez-Esteban, P, Del Barrio, E, Cuesta-Albertos, J, Matrán, C
Формат: Journal article
Язык:English
Опубликовано: 2013
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author Álvarez-Esteban, P
Del Barrio, E
Cuesta-Albertos, J
Matrán, C
author_facet Álvarez-Esteban, P
Del Barrio, E
Cuesta-Albertos, J
Matrán, C
author_sort Álvarez-Esteban, P
collection OXFORD
description The grades of a Spanish university access exam involving 10 graders are analyzed. The interest focuses on finding the greatest group of graders showing similar grading patterns or, equivalently, on detecting if there are graders whose grades exhibit significant deviations from the pattern determined by the remaining graders. Due to differences in background of the involved students and graders, homogeneity is too strong to be considered as a realistic null model. Instead, the weaker similarity model, which seems to be more appropriate in this setting, is considered. To handle this problem, a statistical procedure designed to search for a hidden main pattern is developed. The procedure is based on the detection and deletion of the graders that are significantly non-similar to (the pooled mixture of) the others. This is performed through the use of a probability metric, a bootstrap approach and a stepwise search algorithm. Moreover, the procedure also allows one to identify which part of the grades of each grader makes her/him different from the others. © 2013 Elsevier B.V. All rights reserved.
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spelling oxford-uuid:e22a970d-c69d-43f3-a7e5-79c999af64d82022-03-27T09:59:09ZSearching for a common pooling pattern among several samplesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e22a970d-c69d-43f3-a7e5-79c999af64d8EnglishSymplectic Elements at Oxford2013Álvarez-Esteban, PDel Barrio, ECuesta-Albertos, JMatrán, CThe grades of a Spanish university access exam involving 10 graders are analyzed. The interest focuses on finding the greatest group of graders showing similar grading patterns or, equivalently, on detecting if there are graders whose grades exhibit significant deviations from the pattern determined by the remaining graders. Due to differences in background of the involved students and graders, homogeneity is too strong to be considered as a realistic null model. Instead, the weaker similarity model, which seems to be more appropriate in this setting, is considered. To handle this problem, a statistical procedure designed to search for a hidden main pattern is developed. The procedure is based on the detection and deletion of the graders that are significantly non-similar to (the pooled mixture of) the others. This is performed through the use of a probability metric, a bootstrap approach and a stepwise search algorithm. Moreover, the procedure also allows one to identify which part of the grades of each grader makes her/him different from the others. © 2013 Elsevier B.V. All rights reserved.
spellingShingle Álvarez-Esteban, P
Del Barrio, E
Cuesta-Albertos, J
Matrán, C
Searching for a common pooling pattern among several samples
title Searching for a common pooling pattern among several samples
title_full Searching for a common pooling pattern among several samples
title_fullStr Searching for a common pooling pattern among several samples
title_full_unstemmed Searching for a common pooling pattern among several samples
title_short Searching for a common pooling pattern among several samples
title_sort searching for a common pooling pattern among several samples
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