On scales and decision-making based on arithmetic mean

被引：0
|
作者：
Ieta A. [1 ]
Silberberg G. [2 ]
Kucerovsky Z. [1 ]
Greason W.D. [1 ]
机构：
[1] Department of Electrical and Computer Engineering, University of Western Ontario, London
[2] Department of Economics, Central European University, Budapest
来源：
Quality and Quantity | 2005年 / 38卷 / 5期
关键词：
Arithmetic mean or average; Decision-making; Equivalent scales; Grade or mark conversion; Grading scales; Ordinal scales;
D O I：
10.1007/s11135-005-2177-z
中图分类号：
学科分类号：
摘要：
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. © 2004 Kluwer Academic Publishers.
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页码：559 / 575
页数：16
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