Semi-Latin squares

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


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 languageEnglish
Title of host publicationWiley StatsRef
Subtitle of host publicationStatistics Reference Online
EditorsBrian Everitt, Geert Molenberghs, Fabrizio Ruggeri, Walter Piegorsch, Marie Davidian, Ron Kenett
PublisherJohn Wiley and Sons
ISBN (Electronic)9781118445112
Publication statusPublished - 15 May 2017


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


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