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Chapter 11. Multivariate Data, Multidimensional Space, and Spatialization. By Martin Bartnes. Chapter 11. Multivariate Data and Multidimensional Space Distance, Difference, and Similarity Cluster Analysis Spatialization Reducing the Numbers of Variables.
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Chapter 11 Multivariate Data, Multidimensional Space, and Spatialization By Martin Bartnes
Chapter 11 • Multivariate Data and Multidimensional Space • Distance, Difference, and Similarity • Cluster Analysis • Spatialization • Reducing the Numbers of Variables
Multivariate Data and Multidimensional Space • Multivariate data are data where there is more than one item recorded for each observation.
Distance, Difference, and Similarity • Distance is a measure of the difference between pairs of observations. • The Pythagoras’s theorem:
Cluster Analysis: • Cluster is a set of observations that are similar to each other and relatively different from other set of observations. • Cluster analysis can help to identify potential classifications in statistical data.
Hierarchical Cluster Analysis • Work by building a nested hierarchy clusters.
Spatialization: Mapping Multivariate Data • Multidimensional data can not be visualizing in more than three dimensions.
Reducing the Number of Variables • Principal components analysis identifies a set of independent, uncorrelated variates, called the principal components. • Factor analysis is looking for hidden factors and attempt to identify them.
Questions!!! • What are the main challenges with multidimensional data? • What are the point of cluster analysis?