Abstract
The Venn diagram is widely used in many textbooks to illustrate relationships in logic, algebra and probability events. Most applications are limited to k = 2 or 3 sets. Attempts have been made to construct Venn diagrams for many sets. This paper illustrates the connection between Venn diagrams and the well-known two-level factorial designs. Such a connection provides: (1) a simple way to construct a Venn diagram for any k sets, and (2) a graphical understanding of two-level factorials. Examples are given for k = 2, 3, 4, and 5.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 49-51 |
| Number of pages | 3 |
| Journal | American Statistician |
| Volume | 51 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 1997 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Mathematics(all)
- Statistics, Probability and Uncertainty
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Lin, D. K. J., & Lam, A. W. (1997). Connections between Two-Level Factorials and Venn Diagrams. American Statistician, 51(1), 49-51. https://doi.org/10.1080/00031305.1997.10473588