Abstract
AbstractThree methods of constructions of efficient block designs for symmetric parallel line assays have been proposed. These methods are based on balanced incomplete block design (BIBD). Through these designs, all contrasts of interest can be estimated free from block effect and with high efficiency. Any BIB design for which v, the number treatments is strictly greater than twice of block size can be converted into a design that can be used for conducting a symmetric parallel line assay. All methods of construction are demonstrated with some examples.
Highlights
Bioassay is a planned experiment in which two stimuli, one with known preparation known as standard and another with unknown preparation known as test are applied to subjects
A balanced incomplete block (BIB) design is defined as an incomplete block design with v* treatments distributed over b* blocks, each of size k*, where k* is less than v* such that each treatment occurs in r* block, no treatment occurs more than once in a block and each pair of treatments occurs together in λ blocks
Once incomplete block designs are used, naturally concern of efficient estimation treatment contrasts arise because all the contrasts cannot be estimated with full efficiency in every incomplete block design
Summary
Bioassay is a planned experiment in which two stimuli, one with known preparation known as standard and another with unknown preparation known as test are applied to subjects. The comparison is made on the basis of two sets of doses, one from standard preparation and the other from test preparation such that they produce the same response. The main purpose of bioassay is to estimate the relative potency of the test preparation relative to the standard preparation. It is assumed that the response is quantitative. If the dose–response relationship is not linear, often a transformation of the dose is made so that the relationship between the transformed
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