MODIFICATION OF SCORING SCHEMES USING DECOMPOSITION PROCEDURES ON STATISTICAL DATA
Keywords: Physics Olympiad, Assessment, Scoring, Independent Random Variables, Ranking
AbstractThis paper presents a method of modifying original scores to obtain independent random variables. It includes an analysis of the consequences of using such a method. The paper also describes the mathematical background of the method in detail and discusses the possible use of the method in identifying student or participant assessments that are over- or underrated. The method distinguishes performances of students and assesses their written solutions using a scoring scheme. In this study, it is used to analyze the competence of participants in the Physics Olympiad competition. Scoring schemes that are appropriately set by an author for a physics problem present the participant scores as independent random variables. The assessment solutions are analyzed using analytical tools (such as covariant matrix) for the dependence of random variables. The evaluators of the participants’ solutions were highly qualified professionals. Nevertheless, the study found statistical evidence of minor distortion in the evaluations, though this was found to only marginally affected the ranking of participants
Evans, J. D. (1996). Straightforward statistics for the behavioral sciences. CA: Brooks/Cole Publishing, Pacific Grove
Gaigher, E. (2007). Exploring the Development of Conceptual Understanding through Structured Problem-solving in Physics. International Journal of Science Education. http://dx.doi.org/10.1080/09500690600930972
Hanáková, M., & Teleki, A. (2017). Modification of scoring scheme in Physics Olympiad and its possible utilization in analysis of assessment. AIP Conference Proceedings: 20th International DIDFYZ 2016 Conference: From the Roots to Contemporary Education. DOI: 10.1063/1.497438
Copyright (c) 2017 Monika Hanáková, Aba Teleki, Boris Lacsný
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (Creative Commons Attribution License 3.0 - CC BY 3.0) that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
email@example.com, www.iseic.cz, ojs.journals.cz