Definition of Latin square

1. Noun. A square matrix of n rows and columns; cells contain n different symbols so arranged that no symbol occurs more than once in any row or column.

Generic synonyms: Square Matrix

Definition of Latin square

1. Noun. (mathematics) An ''n''-by-''n'' arrangement of ''n'' different integers such that each row, each column and each of the two diagonals contains each of the integers once and once only. ¹

¹ Source: wiktionary.com

Medical Definition of Latin square

1. A statistical design for experiments that removes from experimental error the variation from two sources that may be identified with the rows and columns of a square. The allocation of experimental treatments is such that each treatment occurs exactly once in each row and column. For example, a design for a 5 × 5 square is as follows: (05 Mar 2000)

Lexicographical Neighbors of Latin Square

Latimeridae
Latin
Latin-American
Latin-American Spanish
Latin America
Latin American
Latin Americans
Latin Quarter
Latin alphabet
Latin alphabets
Latin alphas
Latin cross
Latin name
Latin names
Latin script
Latin square (current term)
Latina
Latinas
Latinate
Latindom
Latine
Latines
Latinesce
Latinian language
Latinisation
Latinisations
Latinise
Latinised
Latinises
Latinising

Literary usage of Latin square

Below you will find example usage of this term as found in modern and/or classical literature:

1. Report of the Annual Meeting (1901)
"The problem of the Latin square is concerned with a square of order n and n different quantities which have to be placed one in each of the «s compartments ..."

2. Current Issues in Statistical Inference: Essays in Honor of D. Basu by Dev Basu, Malay Ghosh, Pramod K. Pathak (1992)
"Fisher discussed only two designs, the randomized block design and the Latin square design in that book. Various other designs are discussed by Cochran and ..."

3. Statistics and Science: A Festschrift for Terry Speed by T. P. Speed, Darlene Renee Goldstein (2003)
"Asymmetric idempotent Latin square exists if and only if n is odd. ... A unipotent Latin square can be obtained from this by moving the letter on cell (x,x) ..."

4. Science by American Association for the Advancement of Science (1883)
"... were presented according to a randomly determined 11 by 11 Latin square. ... the Latin square was run each day. The results of the experiment are ..."

5. Sas/stat 9.1 User's Guide by SAS Institute, Virginia Clark (2004)
"Latin square Split Plot The data for this example is taken from Smith (195 1). A Latin square design is used to evaluate six different sugar beet varieties ..."

6. SAS/QC 9.1 by SAS Institute (2004)
"Hyper-Graeco-Latin square Design Aqxq Latin square is an ... -Latin square is actually a pain of Latin squares; when superimposed, each symbol in one square ..."

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