Fractional Factorial Designs: An Underutilized Tool for Rapid In Vitro System Development

Abstract

Anther and microspore culture for producing haploid plants are very complex systems and include general effects where the specific effects must be identified and optimized to develop culture systems capable of producing the large numbers of haploids required by breeding programs. These general effects include genotype, physiological state of the source plant, age of the anthers and microspores, preculture treatments, culture conditions, and culture media. Design of experiments (DoE) is an experimental approach specifically designed to identify and optimize the multiple factors that make up complex systems, and is ideally suited for developing in vitro systems to produce haploids. The basic DoE strategy starts by screening multiple factors thought to affect the responses being measured. Screening identifies factors with large and small effects. Factors with large effects are used to manipulate the system, and are moved to the DoE optimization phase such as response surface methodology. Factors with small or trivial effects are eliminated from further consideration, and this simplifies the system. The basic concepts of fractional factorial designs and how to use them are explained. Fractional factorials are the most important DoE screening tool and are the first experiments run before DoE optimization experiments. To illustrate the unique properties of fractional factorials, a detailed example is provided that includes all of the calculations so that no statistical software is required.