Joint analysis of experiments in incomplete block designs with some common treatments - intrablock analysis

Abstract

A simplified method of intrablock analysis of variance is considered for the case in which treatments to be compared, designed as "regular treatments", are distributed through several experiments, in partially balanced incomplete blocks (PBIB), but with some common treatments added to each block. Expressions for sum of squares, treatment means adjusted for blocks effects; and variances of estimates of contrasts involving treatment means were developed. Results are given in details for balanced incomplete block designs (BIB) and square lattice designs. An example is given for illustration.