Randomization Analysis of the Completely Randomized Design Extended to Growth and Response Curves

Abstract

A randomization analysis of a completely randomized growth (or response) curve model is derived from the basic assumptions of the design in the manner of Kempthorne (1955). Best linear unbiased estimators for mean growth and contrast curves are obtained. Kempthorne's discussion of a univariate randomization test is generalized to the case of unequal group sizes and adapted to the problem of testing for treatment effects at a point in time. A similar randomization test for treatment effects over a specified interval of time is motivated and approximated by a standard F test. The proposed analysis is applied to experimental data.