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Mean-Variance Space for Evaluations

  • The effect on the mean-variance space of restrictions on a variable is investigated in this paper. A restriction may be the placing of upper and lower bounds on a variable. Another limitation is the loss of the continuity of a variable. Average marks for Examinations are considered in an application of this limited meanvariance space. In this case, the bounds are given by the highest and the lowest possible mark (e.g. 1.0 and 5.0). The limitation of the mean-variance space depends on the number of students who participate in the examination. The restriction of the loss of continuity is shown by the use of discrete marks (e.g. 1.0, 1.3, 1.7, 2.0, …). Furthermore, the Target-Shortfall-Probability lines are integrated into the mean-variance space. These lines are used to indicate the proportion of students who have good or very good marks in the examination. In financial markets, Target-Shortfall-Probability is used as a risk criterion.

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Author:Leo SchubertGND
Document Type:Article
Year of Publication:2014
Release Date:2014/10/31
Open Access?:Ja
Licence (German):License LogoKeine CC-Lizenz - Es gilt der Veröffentlichungsvertrag für Publikationen