Algebras for Experimental Design

Experimental design is a fundamental component of any investigation on the causal effects of treatment factors on a response. Algebraic concepts and topics, such as finite fields/Galois field theory, are useful for the construction and characterization of a class of experimental designs, known as fractional factorial designs, that are widely applied in physical experiments. This project will study the different types of algebras used in the design and analysis of fractional factorial experiments, and pursue developments in new algebras that have recently been developed for new parameterizations of causal effects in fractional factorial experiments.

Instructor: Arman Sabbaghi, Statistics, Purdue University

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