Which scenario provides stronger evidence that the difference in factor level means represents true differences in the population means? Explain why in your own words. (b) Which scenario exhibits more variability within each factor level? Is this measured by SSError or SSFactor? (c) Which scenario exhibits more variability between each factor level? Is this measured by SSError or SSFactor? (d) Recall that
Which scenario provides stronger evidence that the difference in factor level means represents true differences in the population means? Explain why in your own words. (b) Which scenario exhibits more variability within each factor level? Is this measured by SSError or SSFactor? (c) Which scenario exhibits more variability between each factor level? Is this measured by SSError or SSFactor? (d) Recall that
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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106. Use the two scenarios presented in Figure 7.12 to answer the following question about the two
sources of variability in ANOVA.
3.5
3.0
2.5
2.0
1.5
(i) HA: P₁ P2 ‡ P3
(iii) HA not all proportions are equal
to this po
1.0
Figure 7.12: Within vs Between Variability in ANOVA
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Scenario A
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(d) Recall that,
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2
H
3
2.05 2.10 2.15 2.20 2.25 2.30 2.35
(ii) Ho: M₁ M₂ = μ3
sans are
(iv) HA: not all means are equal
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(a) Which scenario provides stronger evidence that the difference in factor level means represents
true differences in the population means? Explain why in your own words.
Scenario B
1
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O
1
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(b) Which scenario exhibits more variability within each factor level? Is this measured by
SSError or SSFactor?
Agulow
(c) Which scenario exhibits more variability between each factor level? Is this measured by
SSError or SSFactor?
MSFactor Differences due to the factor
MSError
Differences due to the error
F =
so that the more variability that is explained by the factor, the larger the test statistic.
Therefore, which scenario will produce a larger test statistic?
*****
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