Psych 208A: Proseminar on
Data Analysis & Visualization

Professor Forrest Young

Data Theory

Outline of lecture for Proseminar on Data Analysis and Visualization.

Data Theory

  • A data theory is an abstract representation of the varying aspects of data which classifies all possible data situations according to a few parsimonious concepts.

  • There are two major aspects of a data theory
    1. Empirical Design Theory
    2. Measurement Theory
  • We discuss these aspects in this lecture.
  • For most empirical design notions, there is a corresponding measurement theory notion.

    Empirical Design Theory

    Many of the following definitions are the usual ones from experimental design. However, ways, modes and categories deserve special attention here.

    Measurement Theory

    Correspondence between Empirical and Measurement aspects

    The correspondence between the major two aspects of Data Theory is explained in the accompaning tables. (Click here for Adobe Acrobat versions of Table 1 and Table 2, which can be read with Adobe Acrobat Reader.

    Philosophy of Measurement

  • Measurement properties are not properties of the data themselves.
  • Measurment level is not discrete --- it is continuous.

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