ABSTRACT

The analysis of block designs presented in Chapter 1 was concerned with the estimation of treatment contrasts from comparisons made within blocks. If the blocks can be regarded as a random sample of blocks from some population then estimates of treatment contrasts may also be available from comparisons between blocks. Whether it is worth incorporating the information from this inter-block ana­ lysis with that from the within-block, or intra-block, analysis will depend on the extent to which the grouping of the experimental units into blocks has achieved a marked reduction in the error mean square. If this grouping is successful, i.e. block effects are large, then the amount of information which may be recovered from the inter­ block analysis will be small. On the other hand if block effects are small there may be substantial gains to be achieved by recovering the inter-block information.