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Visualization of Linear Ordering Results for Ordinal Data with Application of Multidimensional Scaling
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A two-step procedure was proposed to visualization of linear ordering results for ordinal data. In the first step as a result of the application of multidimensional scaling (see Borg, Groenen, 2005; Mair et al., 2016) is to visualize objects in two-dimensional space. In the next step, a linear ordering is carried out with the use of the Euclidean distance from the pattern (ideal) object. The proposed approach expanded the possibilities of interpretation of the results of the linear ordering of set of objects.
The article uses the concept of isoquant and path of development (the shortest way connecting ideal and anti-ideal object) proposed by Hellwig (1981). The proposed approach is illustrated by an empirical example with application of script of R environment.
Title: Visualization of Linear Ordering Results for Ordinal Data with Application of Multidimensional Scaling
Description:
A two-step procedure was proposed to visualization of linear ordering results for ordinal data.
In the first step as a result of the application of multidimensional scaling (see Borg, Groenen, 2005; Mair et al.
, 2016) is to visualize objects in two-dimensional space.
In the next step, a linear ordering is carried out with the use of the Euclidean distance from the pattern (ideal) object.
The proposed approach expanded the possibilities of interpretation of the results of the linear ordering of set of objects.
The article uses the concept of isoquant and path of development (the shortest way connecting ideal and anti-ideal object) proposed by Hellwig (1981).
The proposed approach is illustrated by an empirical example with application of script of R environment.
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