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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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
Transcribed Image Text:Table entries in lightface type are critical values for the .05 level of significance. Boldface type values are for the .01 level of significance.
At the significance level a = 0.01, the main effect due to factor A is
and the interaction effect between the two factors is
the main effect due to factor B is

Transcribed Image Text:You perform an ANOVA to test that there are no main effects of factor A, no main effects of factor B, and no interaction between factors A and B.
Some of the results are presented in the following ANOVA table.
Source
Between treatments
Factor A
Factor B
A X B interaction
Within treatments
Total
ANOVA Table
SS
6.5667
0.0667
12.1667
df
5
29
MS
4.0333
1.2334
F
17.29
5.29
Work through the following steps to complete the preceding ANOVA table.
1. The main effect for factor A evaluates the mean differences between the levels of factor A. The main effect for factor B evaluates the mean
differences between the levels of factor B. Select the correct values for the sums of squares for factors A and B in the ANOVA table.
2. Select the correct value for the within-treatments sum of squares in the ANOVA table.
3. Select the correct degrees of freedom for all the sums of squares in the ANOVA table.
4. Select the correct values for the mean square due to A X B interaction, the within treatments mean square, and the F-ratio for the A X B interaction.
5. Use the results from the completed ANOVA table and the F distribution table (click on the following dropdown menu to access the table) to make
the following conclusions.
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