A Fourfold Display for 2 by 2 by k Tables

• Michael Friendly.
• A Fourfold Display for 2 by 2 by k Tables.
• York University, Psychology Dept, no. 217, 1994.

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This paper describes the fourfold display, a graphic designed to display the frequencies in a 2 × 2 × k contingency table. In this display the frequency in each cell is shown by a quarter circle, whose area is proportional to the cell count in a given 2 × 2 layer, in a way that depicts the odds ratios for k strata. Confidence rings for the odds ratio can be superimposed to provide a visual test of the hypothesis of no associationin each stratum

Keywords: Categorical data; Fourfold display; Graphical methods; Mosaic display; Parquet diagram

@TechReport{Friendly94TR217,
  author = {Michael Friendly},
  year = {1994},
  title = {A Fourfold Display for 2 by 2 by k Tables},
  number = {217},
  institution = {York University, Psychology Dept},
  url = {http://datavis.ca/papers/4fold/4fold.pdf},
}