[AM5-5] Analyzing multidimensional attributes

Multidimensional attributes can be analyzed through multidimensional scaling and principle component analysis.

External resources

• Wang J. (2012) Classical Multidimensional Scaling. In: Geometric Structure of High-Dimensional Data and Dimensionality Reduction. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27497-8_6

Learning outcomes

• 184 - Relate plots of multidimensional attribute data to geography by equating similarity in data space with proximity in geographical space
  Relate plots of multidimensional attribute data to geography by equating similarity in data space with proximity in geographical space
• 185 - Assemble a data matrix of attributes
  Assemble a data matrix of attributes
• 186 - Produce plots in several data dimensions using a data matrix of attributes
  Produce plots in several data dimensions using a data matrix of attributes
• 187 - Conduct a simple hierarchical cluster analysis to classify area objects into statistically similar regions
  Conduct a simple hierarchical cluster analysis to classify area objects into statistically similar regions
• 188 - Perform multidimensional scaling (MDS) and principal components analysis (PCA) to reduce the number of coordinates, or dimensionality, of a problem
  Perform multidimensional scaling (MDS) and principal components analysis (PCA) to reduce the number of coordinates, or dimensionality, of a problem

Self assessment

Outgoing relations

• [AM5-5] Analyzing multidimensional attributes subclassof [AM5] Basic analytical methods

Incoming relations

• [MDS] Multidimensional scaling subclassof [AM5-5] Analyzing multidimensional attributes

Contributors

• Rob Lemmens
  University of Twente, Faculty of Geo-Information Science and Earth Observation (ITC)
  https://research.utwente.nl/en/persons/rob-lemmens