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Implicatons about latin square trial plan

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Author: 
Şenol Çelik
Abstract: 

In this study, vertical Latin squares, symmetric Latin squares and Latin squares that have been rotated 90 degrees have been examined and the statistical analysis have been carried out through a numerical example. As a result of the analysis, the F test of the Latin square trial and the vertical Latin square trial have been carried out; resulting equal in terms of row, column, trial (Latin) effects sum of squares, the means of squares and trial errors. In the F test of the Latin squares symmetrical to each other, trial (Latin) effects and error (trial error) sum of squares and means of squares remained the same, while the row and column effects sum of squares/means of squares have switched places. In other words, the row effects sum/means of squares of a Latin square resulted equal to the column effects sum/means of squares of the Latin square symmetrical to it. In the F test of the Latin squares which have been rotated 90 degrees; row, column and trial (Latin) effects sum of squares and means of squares and trial errors have resulted the same.

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