REGRESSION IN UNBALANCED RANDOMIZED BLOCK
EXPERIMENTS.

Martha Maria MISCHAN^{1}

Sheila Zambello de PINHO[1]

§ ABSTRACT: For unbalanced randomized
block experiments, with treatments as levels of a quantitative factor, we
determine the contrasts coefficients for the different partitions of the
treatments sum of squares in sums of squares of polynomial regression. We
determine the coefficients by resolving a system of equations formed by the
contrasts estimability and orthogonality conditions, and the regression
conditions.

§ KEYWORDS: Unbalanced experiments;
sums of squares partition; polynomial effects of treatments ; one degree of
freedom contrasts.