Single Factor ANOVA - Latin Square Design

[Hypothesis] Ho :   μA = μB = ... = μr
H1 : At least one pair of means is different
[Test Type]   F test (ANOVA)
[Sample Data]  Treatment r = (A, B, C)
Column1 Column2 Column3 Column4 Column5 Column6 Row
Row1 A B C   x̄1⋅⋅
Row2 B C A   x̄2⋅⋅
Row3 C A B   x̄3⋅⋅
Row4   x̄4⋅⋅
Row5   x̄5⋅⋅
Row6   x̄6⋅⋅
Column   x̄⋅1⋅   x̄⋅2⋅   x̄⋅3⋅   x̄⋅4⋅   x̄⋅5⋅   x̄⋅6⋅
Treatment   x̄⋅⋅1   x̄⋅⋅2   x̄⋅⋅3   x̄⋅⋅4   x̄⋅⋅5   x̄⋅⋅6   x̄⋅⋅⋅