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Published in:
2017 | OriginalPaper | Chapter
5. Checking Model Assumptions
Authors : Angela Dean, Daniel Voss, Danel Draguljić
Published in: Design and Analysis of Experiments
Publisher: Springer International Publishing
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Abstract
Every model contains underlying assumptions about its form and about the distribution of error variables. In this chapter discusses methods of checking such assumptions for the one-way analysis of variance model, including checking the normality, constant variance, and independence of the errors. In this chapter, and throughout the book, the model assumption checks are made by examining residual plots. In the case of unequal variances, a transformation of data is suggested as well as methods for data analysis which incorporate unequal variances. The normality assumption is checked through construction of half-normal probability plots. A real experiment illustrates the techniques, and the use of SAS and R software is illustrated.