On scales and decision-making based on arithmetic mean

On scales and decision-making based on arithmetic mean The scales used in schools for the purpose of student assessment are ordinal. The average of ordinal values is often used for the evaluation and comparison of overall student performance. We demonstrate a theorem for the selection of scales invariant with respect to rank of average and compare scales according to this property. A uniformity criterion is also defined for the choice of the scale on which to calculate the average. Concatenated sets of grades from scales not belonging to the same category may bring about errors of rank and absurd averaging, which may have a heavy impact on related decision-making processes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quality & Quantity Springer Journals

On scales and decision-making based on arithmetic mean

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2004 by Kluwer Academic Publishers
Subject
Social Sciences; Methodology of the Social Sciences; Social Sciences, general
ISSN
0033-5177
eISSN
1573-7845
D.O.I.
10.1007/s11135-005-2177-z
Publisher site
See Article on Publisher Site

Abstract

The scales used in schools for the purpose of student assessment are ordinal. The average of ordinal values is often used for the evaluation and comparison of overall student performance. We demonstrate a theorem for the selection of scales invariant with respect to rank of average and compare scales according to this property. A uniformity criterion is also defined for the choice of the scale on which to calculate the average. Concatenated sets of grades from scales not belonging to the same category may bring about errors of rank and absurd averaging, which may have a heavy impact on related decision-making processes.

Journal

Quality & QuantitySpringer Journals

Published: Jan 26, 2005

References

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