Multiway data analysis: Difference between revisions

Revision as of 14:23, 17 March 2023

Revision as of 18:21, 18 March 2023

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In this sense, we can define the various ''ways'' of data to analyze:

* ''One- way data'': A data point with <math>I_0</math>-dimensions, <math>{\bf a}\in {\mathbb C}^{I_0}</math> is a [[Vector (mathematics and physics)|vector]] or data point that is stored in a ''one-way array'' data structure.

* ''Two-way data:'' withIs dimensionsa collection of <math>I_0\times I_1</math> is a grid of data, apoints "data [[matrixwith (mathematics)|matrix]]"dimensions <math>I_0</math> that is stored in a ''two-way array'', <math>{\bf A}\in {\mathbb C}^{I_0\times I_1}</math>. A [[spreadsheet]] can be used to visualize such data in the case of discrete dimensions.

* ''Three-way data'' with dimensions <math>I_0\times I_1\times I_2</math> is a cube of data that is stored in a three-way array, <math>{\bf A}\in {\mathbb C}^{I_0\times I_1\times I_2}</math>. Such data might represent the temperature at different locations (two-way data) sampled over different times (leading to three-way data)

* ''Four-way data'', using the same spreadsheet analogy, can be represented as a file folder full of separate workbooks.