Chi‐Square Test for Goodness of Fit in a Plant Breeding Example

Abstract

In plant breeding and genetics research, plant breeders establish a hypothesis to explain how they think a particular trait is inherited, such as if it is due to one gene with complete dominance, an interaction of more than one gene, or quantitative inheritance, with many genes contributing, etc. Next the breeder sets up some crosses and observes the resulting progeny to test that inheritance hypothesis. However, when the data is collected, oftentimes the breeder discovers the number of plants observed in each class is not exactly what was expected from the hypothesis. The question then is how do plant breeders determine if the data supports their hypothesis or not? Following a tomato disease resistance example in this lesson, you will learn a simple statistical test that breeders can use to conclude if the experimental data supports their hypothesis. This lesson is written for undergraduate and graduate students studying plant breeding, as well as agriculture professionals unfamiliar with the use of the chi‐square analysis. After completing this lesson module you should be able to: Calculate expected phenotypic and genotypic ratios and the number of plants expected in each class for a given plant breeding scheme. Calculate chi‐square values for plant genetics data sets from both phenotypic and genotypic observations. Calculate degrees of freedom. Accurately interpret results from a chi‐square test. Identify appropriate uses and limitations of the chi‐square test in plant breeding and genetics research.