In multidimensional scaling (MDS) carried out on the basis of a metric data matrix (interval, ratio), the main decision problems relate to the selection of the method of normalization of the values of the variables, the selection of distance measure and the selection of MDS model. The article proposes a solution that allows choosing the optimal multidimensional scaling procedure according to the normalization methods, distance measures and MDS model applied. The study includes 18 normalization
Statistics in Transition New Series , ISSUE 3, 521–540
The article describes a hybrid approach to evaluating economic efficiency of medium-sized manufacturing enterprises (employing from 50 to 249 people) in districts of Wielkopolska province, using metric and interval-valued data. The hybrid approach combines multidimensional scaling with linear ordering. In the first step, multidimensional scaling is applied to obtain a visual representation of objects in a two-dimensional space. In the next step, a set of objects is ordered linearly based on the
Statistics in Transition New Series , ISSUE 2, 49–68
We propose a visual representation of bibliographic data based on shared references. Our method employs a distance metric that is derived from bibliographic coupling and then subjected to fast approximate multidimensional scaling. Its utility is demonstrated by an explorative analysis of social network publications that, most notably, depicts the genesis of an area now commonly referred to as network science. However, the example also illustrates some common pitfalls in bibliometric analysis.
Journal of Social Structure , ISSUE 1, 1–19
environmental characteristics (soil pH and soil microbial respiration as constrained variables) were analyzed by ordination techniques. Redundancy analysis (RDA) was performed using Canoco 5 (Ter Braak and Šmilauer, 2012), because response data were compositional and had a gradient of 1.7 standard deviations. The significance of the axis was tested by a Monte Carlo permutation test.
Non-metric multidimensional scaling (NMS) ordination was used to examine any changes in the structure of nematode community
Journal of Nematology , 1–16
of marketing strategy. The main aim of this study is an attempt to improve the process of analysing the position and value of brands using selected multivariate statistical analysis methods (hedonic regression, multidimensional scaling, classification and linear ordination methods). In the conducted research the direct approach to the evaluation of the position of the brands for a selected ICT good – smartphones – have been applied. The measurement was performed
Statistics in Transition New Series , ISSUE 1, 75–90