General Linear Model for a Latin Square (Graphical)
General Linear Model for a Latin Square:
In design of experiment, a Latin square is a three-factor experiment in which for each pair of factors in any combination of factor values occurs only once.
where Yijk are observed values of the dependent variable, are effects corresponding to the 4 values of factor I, – of factor II, – of factor III, eijk are random variations.
Note: the Latin square is appropriate only if effects of all three factors are additive – that is, all interaction effects are zero.
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are effects corresponding to the 4 values of factor I, 
– of factor II, 
– of factor III, eijk are random variations.