Abstract

The design of an experiment (including determination of the number of observations to be collected), the model, and the analysis of the experiment are all dependent upon one another. This chapter introduces the analysis of an experiment based on a completely randomized design. A one-way analysis of variance model together with its assumptions is described, and estimation of the model parameters using least squares is discussed in detail. The estimation of the error variance is described, together with the calculation of a confidence bound. A hypothesis test, based on the F distribution, for testing equality of treatment effects is developed, and the analysis of variance table (ANOVA) is introduced. The chapter provides a detailed discussion of the calculation of sample sizes in a one-way analysis of variance model setting using the power of a test. The concepts introduced in this chapter are illustrated through a real experiment and with the use of SAS and R software.

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