Search this journal:     Advanced search
Original Research

Investigating the treatment of missing data in an Olympiad-type test – the case of the selection validity in the South African Mathematics Olympiad

Caroline Long, Johann Engelbrecht, Vanessa Scherman, Tim Dunne

Pythagoras; Vol 37, No 1 (2016), 14 pages. doi: 10.4102/pythagoras.v37i1.333

Submitted: 02 March 2016
Published:  31 October 2016

Abstract

The purpose of the South African Mathematics Olympiad is to generate interest in mathematics and to identify the most talented mathematical minds. Our focus is on how the handling of missing data affects the selection of the ‘best’ contestants. Two approaches handling missing data, applying the Rasch model, are described. The issue of guessing is investigated through a tailored analysis. We present two microanalyses to illustate how missing data may impact selection; the first investigates groups of contestants that may miss selection under particular conditions; the second focuses on two contestants each of whom answer 14 items correctly. This comparison raises questions about the proportion of correct to incorrect answers. Recommendations are made for future scoring of the test, which include reconsideration of negative marking and weighting as well as considering the inclusion of 150 or 200 contestants as opposed to 100 contestants for participation in the final round.

Full Text:  |  HTML  |  EPUB  |  XML  |  PDF (2MB)

Author affiliations

Caroline Long, Department of Childhood Education, University of Johannesburg, South Africa
Johann Engelbrecht, Department of Mathematics, Science and Technology Education, University of Pretoria, South Africa
Vanessa Scherman, Department of Psychology of Education, University of South Africa, South Africa
Tim Dunne, Department of Statistical Sciences, University of Cape Town

Keywords

Mathematics Olympiad; Rasch analysis; Missing data

Metrics

Total abstract views: 876
Total article views: 1546

Cited-By

No related citations found

Comments on this article

Before posting your comment, please read our policy.
Post a Comment (Login required)


ISSN: 1012-2346 (print) | ISSN: 2223-7895 (online)

Connect on: Facebook, Twitter, Google+, LinkedIn and YouTube

Subscribe to our newsletter

All articles published in this journal are licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license, unless otherwise stated.

Website design & content: ©2017 AOSIS (Pty) Ltd. All Rights Reserved. No Unauthorised Duplication Allowed.

AOSIS Publishing | Empowering Africa through access to knowledge
Postnet Suite #110, Private Bag X19, Durbanville, South Africa, 7551
Tel: 086 1000 381
Tel: +27 21 975 2602
Fax: 086 5004 974

publishing(AT)aosis.co.za replace (AT) with @

Please read the privacy statement.