With this intriguing title Richard Feinberg and Howard Wainer draw readers of Volume 20, Number 4 into what might have been a dry discourse: How contributors to The Journal of Computational and Graphical Statistics rely mainly on tables to display data. Given that “Graphical” is in the title of this publication, it begs the question on whether this method of for presenting statistics really works.
When working on the committee that developed the ASTM 1169-07 Standard Practice for Conducting Ruggedness Tests, I introduced the half-normal plot for selecting effects from two-level factorial experiments. Most of the committee favored this, but one individual – a professor emeritus from a top school of statistics – resisted the introduction of this graphical tool. He believed that only numerical methods, specifically analysis of variance (ANOVA) tables, could support objective decisions for model selection. My comeback was to dodge the issue by simply using graphs and tables – this need not be an either/or choice. Why not do both, or merge them by putting number on to graphs – the best of both worlds?
“A heavy bank of figures is grievously wearisome to the eye, and the popular mind is as incapable of drawing any useful lessons from it as of extracting sunbeams from cucumbers.”
— Economists (brothers) Farquhar and Farquhar (1891)
In their article which can be seen here Feinberg and Wainer take a different tack (path of least resistance?): Make tables look more like graphs. Here are some of their suggestions for doing so:
- Round data to 3 digits or less.
- Line up comparable numbers by column, not row.
- Provide summary statistics, in particular medians.
- Don’t default to alphabetical or some other arbitrary order: Stratify by size or some other meaningful attribute.
- Call out data that demands attention by making it bold and/or bigger and/or boxing it.
- Insert extra space between rows or columns of data where they change greatly (gap).
Check out the remodeled table on arms transfers which makes it clear that, unlike the uptight USA, the laissez faire French will sell to anyone. It would be hard to dig that nugget out of the original data compilation.