Estimation of parameters in latin squares and graeco-latin squares with missing observations

Abstract

We show that if in an additive model with p-2 MOLS if one omits up to p-1 observations from the same row, the same column or which correspond to the same letter in any of the squares all effects are estimable. On the other hand with only two missing observations not from the same row, the same column or corresponding to the same letter in any of the squares one degree of freedom is lost for each set of effects.

Keywords:

• estimability
• estimation space
• zero functions