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

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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
onnisth
Scenario A
L
(d) Recall that,
O
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
720
qeaoluet alt sot mol
4
mobor
2924
(6)
2
3
4
gob za aim onbala (1)
di batt (9)
w-qodt fonqtotal bac o2 (6)
(Troy ote12. (0)
(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
=
stogol 05
O
1
oftaltete fest out of sulav gris
I
(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?
*****
Transcribed Image Text:ol 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 onnisth Scenario A L (d) Recall that, O 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 720 qeaoluet alt sot mol 4 mobor 2924 (6) 2 3 4 gob za aim onbala (1) di batt (9) w-qodt fonqtotal bac o2 (6) (Troy ote12. (0) (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 = stogol 05 O 1 oftaltete fest out of sulav gris I (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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