Scrawl Strips, and Letter or B-Letter Strips: Depicting Marginals of Scatter Plots

Abstract

Data from a bivariate distribution is often graphically presented by using a scatter plot. Adding a suitable depiction of the marginal data distributions to the edges of the scatter plot allows interesting features of the marginal data distributions to be seen alongside the original bivariate data. We propose providing these marginal depictions by a modification of Quantile-Quantile plots (QQ plots) we call scrawl strips. We also propose adding a strip or axis showing location of the letter values, or the broadened letter values, which we call a letter strip, or b-letter strip, respectively. These two strips can be combined. Since scrawl strips are modified QQ plots, they inherit useful features of QQ plots. These features include information about the shape of the marginal distribution, the presence and type of skewness, the presence of heavy tails, gaps and ties in the ordered data, appearances of bimodality or high shoulders, and assumptions of normality. This type of information is often either absent or depicted poorly, both in univariate competitors to the QQ plot and in the basic scatter plot.

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Document Details

Document Type
Technical Report
Publication Date
May 31, 1991
Accession Number
ADA246231

Entities

People

  • James G. Veitch
  • John W. Tukey

Organizations

  • Princeton University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Automobiles
  • Contracts
  • Data Analysis
  • Data Displays
  • Data Science
  • Databases
  • Experimental Design
  • Gaussian Distributions
  • Information Science
  • Military Research
  • Order Statistics
  • Shoulder
  • Skewness
  • Statistics
  • Symmetry

Readers

  • Approximation Theory.
  • Computer Vision.
  • Statistical inference.