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BALLATSQ

15 Feb 2006 (Updated 26 Mar 2009)

Create a balanced latin square (v2.2, mar 2009)

File Information

Description

BALLATSQ - Balanced Latin Square
M = BALLATSQ(N) creates a balanced latin square of size N containing the numbers 1 to N. N should be an even positive integer.

A latin square of size M is a MxM matrix filled with the M different numbers in such a way that each number occurs exactly once in each row and exactly once in each column. A balanced latin square has the further restriction that each sequence of two values in a row does not occur more than once in the whole matrix. They have applications in the design of experiments.

MATLAB release

MATLAB 6.5 (R13)

Tags for This File
Everyone's Tags	balanced latin, design, experiment, matrix, probability, special, statistics
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Comments and Ratings (3)
18 Feb 2006	John D'Errico	Nice help, checks for errors, works, etc.
12 Apr 2006	Jos vdG	There is a problem for certain sizes. Update is on its way. Jos (the author)
19 Sep 2006	Jos (author)	Update on sep 19, 2006: added randomization

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Updates
13 Apr 2006	improved algorithm
18 Sep 2006	added randomization modified help
26 Mar 2009	better comments and randomization

Tag Activity for this File
Tag	Applied By	Date/Time
statistics	Jos (10584)	22 Oct 2008 08:15:50
probability	Jos (10584)	22 Oct 2008 08:15:50
matrix	Cristina McIntire	05 Feb 2009 14:35:01
balanced latin	Cristina McIntire	05 Feb 2009 14:35:01
design	Cristina McIntire	05 Feb 2009 14:35:01
experiment	Cristina McIntire	05 Feb 2009 14:35:01
special	Cristina McIntire	05 Feb 2009 14:35:01

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