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

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STA 6166 – Fall 2006 Projects 4&5 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 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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