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A 2x2 Factorial Design for Double Reversal Feeding Experiments

Louisiana Agricultural Experiment Station

ABSTRACT

An efficient method of using the double reversal experimental design to answer two questions with a limited number of cows is presented. The design makes it possible to compare two roughages and also two concentrate mixtures in the same feeding trial. The appropriate use of this design is where previous knowledge or experience indicates that the first degree interaction is unimportant, i.e., that differences between the concentrate mixtures will be approximately the same while on each roughage.

Appropriate tests for measuring the differences based on a 2 x 2 factorial design are presented. These tests utilize the analysis of variance or the t-test with identical results. Examples given include milk yields showing significant differences between both roughages and concentrates, and live-weight changes, with non-significant differences between each set of factors.

¹ The author is greatly indebted to Dr. W. G. Cochran of the Statistical Laboratory of Iowa State College for guidance in developing the analysis as herein presented.