### 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 - Jan 1 1997 |

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### All Science Journal Classification (ASJC) codes

- Statistics and Probability
- Mathematics(all)
- Statistics, Probability and Uncertainty

### Cite this

*American Statistician*,

*51*(1), 49-51. https://doi.org/10.1080/00031305.1997.10473588

}

*American Statistician*, vol. 51, no. 1, pp. 49-51. https://doi.org/10.1080/00031305.1997.10473588

**Connections between Two-Level Factorials and Venn Diagrams.** / Lin, Dennis K.J.; Lam, Amy W.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Connections between Two-Level Factorials and Venn Diagrams

AU - Lin, Dennis K.J.

AU - Lam, Amy W.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0031504053&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031504053&partnerID=8YFLogxK

U2 - 10.1080/00031305.1997.10473588

DO - 10.1080/00031305.1997.10473588

M3 - Article

AN - SCOPUS:0031504053

VL - 51

SP - 49

EP - 51

JO - American Statistician

JF - American Statistician

SN - 0003-1305

IS - 1

ER -