In two-way ANOVA, identify the statistic that is used as a measure of variationa. among the sample means for the different levels of Factor A.b. among the sample means for the different levels of Factor B.c. due to interaction.d. within the samples.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In two-way ANOVA, identify the statistic that is used as a measure of variation
a. among the sample means for the different levels of Factor A.
b. among the sample means for the different levels of Factor B.
c. due to interaction.
d. within the samples.

Expert Solution
Step 1

(a)

Sum of squares for factor A:

The component SSA represents the variation among the sample means for the different levels of factor A.

(b)

Sum of squares for factor B:

The component SSB represents the variation among the sample means for the different levels of factor B.

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