Essays on Multidimensional Scaling

[Institution’s Name] The step by step development of draft research design was a real learning process for me. An overview of the topic, I selected for the research statement was apparently loaded with supporting studies and information. However, gathering the same and weaving the draft research design thread by thread was entirely different. The first step of hypothesis development was comparatively manageable with the support of professors and the clear guidelines but the identification of variability and selection of the measurement instrument was entirely challenging for my understanding. Even though the peer discussion and research was a great support ...

Most statistical analyses have two or three variables, such data are visualized by use of 2D scatter plots and 3D scatter plots respectively. However, there are some datasets which involve more than three variables, this is called multivariate data. There are several ways with which multivariate data can be visualized. Such methods include Parallel Coordinates Plots, Scatterplot Matrices, Andrews Plots, Glyph Plots and Glyph Plots used together with Multidimensional Scaling.

Scatterplot Matrices involve viewing slices through the lower dimensional subspaces, for instance, using a gplotmatrix function, which displays bivariate Scatterplot of many variables and a histogram for every individual variable. The ...

Introduction

This approach emphasizes the importance of socio-economic indicators in determining the level of regional development. Welfare level is observed and measured by reasonably chosen a set of indicators which consist of the Gini Coefficient, Poverty Rate (Regional Basis), Unemployment Rate, GDP per Capita, Budget Revenue / Expenditure Rate. These indicators are chosen to be able to compare regions in Turkey by the main socio-economic indicators, which represent welfare.

For Multidimensional Scaling Analysis, the indicators are defined in terms of welfare. The selected individual indicators are most representative indicators for the regions of the country’ economy. The Gini Coefficient, whose main ...