Screening designs are frequently used in the pharmaceutical industry to efficiently study the importance of variables during the formulation and process development phase of a new pharmaceutical compound. This paper discusses the construction of an orthogonal 16-run hierarchical screening design for a 3 × 28 experiment, based on a fold-over Hadamard matrix, under conditions which define a new class of designs. The extension to larger designs of this type are described and the analysis is given in terms of sums and differences. This new class of designs will provide the applied statistician with a greater ability to develop efficient screening designs. A detailed example of such a design is given.
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