Studying Efficient Crossover Designs with Multiple Responses
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Authors
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Shubham Niphadkar
Indian Institute of Technology Bombay, Mumbai
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Siuli Mukhopadhyay
Indian Institute of Technology Bombay, Mumbai
Keywords:
Binary designs, Completely symmetric, Efficient design, Orthogonal arraysAbstract
This work on efficient multiple response crossover designs is motivated by a 3 × 3 crossover trial used to measure changes in gene expression values of multiple genes. In order to model multiple responses being measured in a crossover trial, a multivariate fixed effects model, allowing both the direct and carryover effects, is considered. The responses are assumed to have within-response correlation, with varying structures for different responses, and response-specific variances. Under this multiple response setup, a design represented as an orthogonal array of Type I and strength 2 is proved to be efficient for the direct effects over the class of binary designs with 3 ≤ p ≤ t, where p and t represent the number of periods and treatments in a crossover design. A comparison of design efficiencies is evaluated for varying values of p and t.
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