23 Developments in incomplete block designs for parallel line bioassays

Publisher Summary This chapter focuses on parallel line assays. These are indirect assays with quantitative responses where the experimenter wishes to estimate the relative potency under the assumption that the relationship between the expected response and the logarithm of doses of two preparations is representable by parallel straight lines. In a parallel line assay, the predetermined doses of the standard and test preparations represent the treatments. A parallel line assay is called “symmetric” if the standard and test preparations involve the same number of doses; otherwise, it is called “asymmetric.” The chapter also provides a brief introduction to block designs in the context of parallel line assays along with a discussion of the efficient designing of symmetric parallel line assays. The chapter discusses several open problems associated with parallel line assays.

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