ID Response 1 0.833 1 0.805 1 0.800 1 0.782 1 0.798 1 0.775 1 0.805 1 0.759 1 0.815 1 0.801 1 0.817 1 0.799 2 0.892 2 0.865 2 0.859 2 0.833 2 0.819 2 0.818 2 0.860 2 0.864 2 0.858 2 0.816 2 0.830 2 0.815 3 0.777 3 0.824 3 0.760 3 0.783 3 0.801 3 0.779 3 0.767 3 0.834 3 0.806 3 0.826 3 0.829 3 0.816 4 0.787 4 0.762 4 0.824 4 0.837 4 0.829 4 0.806 4 0.769 4 0.782 4 0.800 4 0.791 4 0.881 4 0.812 5 0.774 5 0.777 5 0.775 5 0.751 5 0.788 5 0.744 5 0.789 5 0.772 5 0.720 5 0.749 5 0.748 5 0.740 3. An experiment was performed to test the ability of five different surface passivation methods to prevent corrosion on steel parts. The parts were exposed to an accelerated corrosive environment and then a chemical assay was used to measure how much corrosion had occured. The data are given in the associated Excel data file. a. Plot the data to assess the ANOVA assumptions. What evidence do you see for biases between geometries? b. Use one-way ANOVA to test for differences between the geometries. In addition to the ANOVA F test p value, report the standard error, the adjusted coeffecient of determination, and interpret the residuals diagnostic plots. c. Use Tukey's multiple comparisons test to test for differences between all possible pairs of geometries. Report the grouping information table, the table of tests and confidence intervals, and the interval plot of differences between the means. Interpret the reports (all together, i.e. not individually).
ID Response 1 0.833 1 0.805 1 0.800 1 0.782 1 0.798 1 0.775 1 0.805 1 0.759 1 0.815 1 0.801 1 0.817 1 0.799 2 0.892 2 0.865 2 0.859 2 0.833 2 0.819 2 0.818 2 0.860 2 0.864 2 0.858 2 0.816 2 0.830 2 0.815 3 0.777 3 0.824 3 0.760 3 0.783 3 0.801 3 0.779 3 0.767 3 0.834 3 0.806 3 0.826 3 0.829 3 0.816 4 0.787 4 0.762 4 0.824 4 0.837 4 0.829 4 0.806 4 0.769 4 0.782 4 0.800 4 0.791 4 0.881 4 0.812 5 0.774 5 0.777 5 0.775 5 0.751 5 0.788 5 0.744 5 0.789 5 0.772 5 0.720 5 0.749 5 0.748 5 0.740 3. An experiment was performed to test the ability of five different surface passivation methods to prevent corrosion on steel parts. The parts were exposed to an accelerated corrosive environment and then a chemical assay was used to measure how much corrosion had occured. The data are given in the associated Excel data file. a. Plot the data to assess the ANOVA assumptions. What evidence do you see for biases between geometries? b. Use one-way ANOVA to test for differences between the geometries. In addition to the ANOVA F test p value, report the standard error, the adjusted coeffecient of determination, and interpret the residuals diagnostic plots. c. Use Tukey's multiple comparisons test to test for differences between all possible pairs of geometries. Report the grouping information table, the table of tests and confidence intervals, and the interval plot of differences between the means. Interpret the reports (all together, i.e. not individually).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
Related questions
Question
Transcribed Image Text:ID
Response
1
0.833
1
0.805
1
0.800
1
0.782
1
0.798
1
0.775
1
0.805
1
0.759
1
0.815
1
0.801
1
0.817
1
0.799
2
0.892
2
0.865
2
0.859
2
0.833
2
0.819
2
0.818
2
0.860
2
0.864
2
0.858
2
0.816
2
0.830
2
0.815
3
0.777
3
0.824
3
0.760
3
0.783
3
0.801
3
0.779
3
0.767
3
0.834
3
0.806
3
0.826
3
0.829
3
0.816
4
0.787
4
0.762
4
0.824
4
0.837
4
0.829
4
0.806
4
0.769
4
0.782
4
0.800
4
0.791
4
0.881
4
0.812
5
0.774
5
0.777
5
0.775
5
0.751
5
0.788
5
0.744
5
0.789
5
0.772
5
0.720
5
0.749
5
0.748
5
0.740
Transcribed Image Text:3. An experiment was performed to test the ability of five different surface passivation methods to
prevent corrosion on steel parts. The parts were exposed to an accelerated corrosive environment and
then a chemical assay was used to measure how much corrosion had occured. The data are given in
the associated Excel data file.
a. Plot the data to assess the ANOVA assumptions. What evidence do you see for biases between
geometries?
b. Use one-way ANOVA to test for differences between the geometries. In addition to the ANOVA
F test p value, report the standard error, the adjusted coeffecient of determination, and interpret
the residuals diagnostic plots.
c. Use Tukey's multiple comparisons test to test for differences between all possible pairs of
geometries. Report the grouping information table, the table of tests and confidence intervals, and
the interval plot of differences between the means. Interpret the reports (all together, i.e. not
individually).
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