Latin square


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Latin square

[′lat·ən ′skwer]
(mathematics)
An n × n square array of n different symbols, each symbol appearing once in each row and once in each column; these symbols prove useful in ordering the observations of an experiment.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
A randomized, 3-group, 3-period, randomized sequence (Latin Square) crossover design was employed to reduce variability in the pharmacokinetic analysis of AR subjects treated with TNG over 3 conditions, when asymptomatic, symptomatic and symptomatic-treated with a nasal decongestant.
Data from the feeding trial were analyzed according to Latin Square Design using GLM procedure of MINITAB(r) (version 16.1.1.0).
For the conditions in the analysis, the Latin square ANOVA resulted in F(2, 42)= 1.924, p=0.152.
Twelve Holstein cows in the mid lactation (150 46 DIM; mean SD), with an average body weight (BW) of 58160 kg, and an average milk yield of 16.83.9 kg/day at the beginning of the study were randomly assigned to three contemporary 4 A- 4 Latin squares. The experiment was conducted in four periods of 21 days, divided in 14 days of adaptation and 7 days of sample collection.
[Y.sub.ijk] is the observation of the variable relating to the treatment i, in the Latin square j, in the period k, in the animal l in the time m; [mu] is the overall constant;
Example: Given S = {A,B} we have 2 Latin Squares of Order(2)
If a Latin square L contains a Latin square S properly, then S is called a Sub Latin square.
In each experiment, four lactating Holstein dairy cows (initial body weight of 627 kg and 668 kg for experiments 1 and 2, respectively) were randomly assigned to four dietary treatments in 4 x 4 Latin square designs.
From the standpoint of Latin square experimental designs, therefore, the logical question to ask would be: what choice of m < n would meet a suboptimality criterion, e.g.
An initial analysis of variance by using the 5 x 5 nature of the Latin square design was done, excluding the pretreatment and day 11 data, to accurately ascertain the effect of day.
Sudoku puzzles come from Euler's Latin squares. A Latin square can be constructed with an ordinary pack of cards.
A Latin Square design, for example, controls for the possibility of the grass being greener toward the north, east, south, or west of the field, and not greener as a result of the fertilizer being applied.