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project4 - STA 6166 Fall 2010 Project 3 Due Part 1 2-Factor...

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STA 6166 – Fall 2010 Project 3 – Due 11/03/10 Part 1: 2-Factor ANOVA - Analysis of Raw Data A study of the effect of 4 temperature settings on percent shrinkage in dyeing fabrics was made 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.txt . 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. Test whether there is a fabric (dye) 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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