Semi-Latin squares

Rosemary Anne Bailey

doi:10.1002/9781118445112.stat02644.pub2

Semi-Latin squares

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

Abstract

Semi-Latin squares are generalizations of Latin squares with more than one letter in each cell. Various names given to them in the twentieth century are reviewed, along with their applications in several different areas. Methods of constructing them are given, as are the proper methods of randomization and data analysis. Some results are presented about which semi-Latin squares are optimal when considered as incomplete-block designs.

Original language	English
Title of host publication	Wiley StatsRef
Subtitle of host publication	Statistics Reference Online
Editors	Brian Everitt, Geert Molenberghs, Fabrizio Ruggeri, Walter Piegorsch, Marie Davidian, Ron Kenett
Publisher	John Wiley & Sons, Ltd
Pages	1-8
ISBN (Electronic)	9781118445112
DOIs	https://doi.org/10.1002/9781118445112.stat02644.pub2
Publication status	Published - 15 May 2017

Keywords

Design of experiments
Incomplete-block-designs
Optimal design
Row-column designs
semi-Latin square
Split-plot design

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10.1002/9781118445112.stat02644.pub2

Cite this

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KW - Optimal design

KW - Row-column designs

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KW - Split-plot design

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Semi-Latin squares

Abstract

Keywords

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