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League tables and school effectiveness: a mathematical model

League tables and school effectiveness: a mathematical model
League tables and school effectiveness: a mathematical model
‘School performance tables’, an alphabetical list of secondary schools along with aggregates of their pupils’ performances in national tests, have been published in the UK since 1992. Inevitably, the media have responded by publishing ranked ‘league tables’. Despite concern over the potentially divisive effect of such tables, the current government has continued to publish this information in the same form. The effect of this information on standards and on the social make–up of the community has been keenly debated. Since there is no control group available that would allow us to investigate this issue directly, we present here a simple mathematical model. Our results indicate that, while random fluctuations from year to year can cause large distortions in the league–table positions, some schools still establish themselves as ‘desirable’. To our surprise, we found that ‘value–added’ tables were no more accurate than tables based on raw exam scores, while a different method of drawing up the tables, in which exam results are averaged over a period of time, appears to give a much more reliable measure of school performance
1471-2954
113-119
Hoyle, R.B.
e980d6a8-b750-491b-be13-84d695f8b8a1
Robinson, J.C.
c300fafb-11ca-4456-9b8b-e43498257900
Hoyle, R.B.
e980d6a8-b750-491b-be13-84d695f8b8a1
Robinson, J.C.
c300fafb-11ca-4456-9b8b-e43498257900

Hoyle, R.B. and Robinson, J.C. (2003) League tables and school effectiveness: a mathematical model. Proceedings of the Royal Society B: Biological Sciences, 270 (1511), 113-119. (doi:10.1098/rspb.2002.2223). (PMID:12590748)

Record type: Article

Abstract

‘School performance tables’, an alphabetical list of secondary schools along with aggregates of their pupils’ performances in national tests, have been published in the UK since 1992. Inevitably, the media have responded by publishing ranked ‘league tables’. Despite concern over the potentially divisive effect of such tables, the current government has continued to publish this information in the same form. The effect of this information on standards and on the social make–up of the community has been keenly debated. Since there is no control group available that would allow us to investigate this issue directly, we present here a simple mathematical model. Our results indicate that, while random fluctuations from year to year can cause large distortions in the league–table positions, some schools still establish themselves as ‘desirable’. To our surprise, we found that ‘value–added’ tables were no more accurate than tables based on raw exam scores, while a different method of drawing up the tables, in which exam results are averaged over a period of time, appears to give a much more reliable measure of school performance

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Published date: 22 January 2003
Organisations: Mathematical Sciences

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Local EPrints ID: 380242
URI: http://eprints.soton.ac.uk/id/eprint/380242
ISSN: 1471-2954
PURE UUID: edd65214-4eb1-44d5-927b-cb887a82a37a
ORCID for R.B. Hoyle: ORCID iD orcid.org/0000-0002-1645-1071

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Date deposited: 10 Aug 2015 13:17
Last modified: 15 Mar 2024 03:36

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Contributors

Author: R.B. Hoyle ORCID iD
Author: J.C. Robinson

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