project4_5 - STA 6166 Fall 2006 Projects 4&5 Part 1...

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STA 6166 – Fall 2006Projects 4&5Part 1: 2-Factor ANOVA - Analysis of Raw DataA study of the effect of 4 temperature settings on percent shrinkage in dyeing fabrics was made on on 4 replications for each of 3 types of fabric in a completely randomized design. The data are the percent shrinkage of three replicate fabric pieces dried at each of the 4 temperatures, and are in file: shrink.dat.Write out the linear model, and obtain the analysis of variance for the data.Plot the means by temperature with separate “profiles” for each fabric. See project 1.Test whether there is a fabric x temperature interaction at the α=0.05 significance level. Clearly state: null and alternative hypotheses, test statistic, rejection region and P-value. Include any computer output you obtain.Test for a temperature main effect at the α=0.05 significance level. Clearly state: null and alternative hypotheses, test statistic, rejection region and P-value. Include any computer output you obtain.

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