Abstract
Row complete Latin square has the properties required of a change-over design in statistical experimentation. An n x n latin square L = ( l ij ) is called “row complete” if the n ( n−1 ) ordered pairs ( l ij , l i,j+1 ) are all distinct. It is column complete if the n ( n−1 ) ordered pairs ( l ij , l i +1 ij ) are all distinct. A Latin square is complete if it is both row complete and column complete. The chapter provides the proof of a theorem that a sufficient condition for the existence of a complete latin square L of order n is that there exist a sequenceable group of order n .
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