Given that the interaction is significant, you can reanalyze the data with the two factors collapsed into four groups of a single factor rather than a two-way ANOVA with two levels of each of the two factors. Group 1 is traditional condensed. Group 2 is traditional regular. Group 3 is online condensed. Group 4 is online regular. The results are shown : A 1 ANOVA: Single Factor C E F 2 3 SUMMARY 4 Groups 5 Group 1 6 Group 2 7 Group 3 8 Group 4 Count Sum Average Variance 10 219 21.9 11.2111 10 279 27.9 20.9889 10 270 27 16.2222 10 213 21.3 8.0111 9 10 11 ANOVA 12 Source of Variation 13 Between Groups 14 Within Groups SS df MS P-value Fcrit 343.0750 3 116.0250 8.2239 0.0003 2.8663 507.9 36 14.1083 15 16 Total 855.9750 39 17 Level of significance 0.05 Because F Fcrit we the null hypothesis, so, there is evidence of a significant difference in the four groups (traditional condensed, traditional regular, online condensed, and online regular).
Given that the interaction is significant, you can reanalyze the data with the two factors collapsed into four groups of a single factor rather than a two-way ANOVA with two levels of each of the two factors. Group 1 is traditional condensed. Group 2 is traditional regular. Group 3 is online condensed. Group 4 is online regular. The results are shown : A 1 ANOVA: Single Factor C E F 2 3 SUMMARY 4 Groups 5 Group 1 6 Group 2 7 Group 3 8 Group 4 Count Sum Average Variance 10 219 21.9 11.2111 10 279 27.9 20.9889 10 270 27 16.2222 10 213 21.3 8.0111 9 10 11 ANOVA 12 Source of Variation 13 Between Groups 14 Within Groups SS df MS P-value Fcrit 343.0750 3 116.0250 8.2239 0.0003 2.8663 507.9 36 14.1083 15 16 Total 855.9750 39 17 Level of significance 0.05 Because F Fcrit we the null hypothesis, so, there is evidence of a significant difference in the four groups (traditional condensed, traditional regular, online condensed, and online regular).
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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Transcribed Image Text:Given that the interaction is significant, you can reanalyze the data with the two factors collapsed into four groups of a single factor
rather than a two-way ANOVA with two levels of each of the two factors. Group 1 is traditional condensed. Group 2 is
traditional regular. Group 3 is online condensed. Group 4 is online regular. The results are shown :
A
C
1 ANOVA: Single Factor
2
3 SUMMARY
4
Sum Average Variance
Groups
5 Group 1
Count
10
219
21.9
11.2111
6 Group 2
10
279
27.9
20.9889
7 Group 3
10
270
27
16.2222
8 Group 4
10
213
21.3
8.0111
9
10
11 ANOVA
12 Source of Variation
13 Between Groups
14 Within Groups
df
MS
P-value Fcrit
343.0750
3 116.0250
8.2239
0.0003 2.8663
507.9
36
14.1083
15
16 Total
855.9750
39
17
Level of significance
0.05
the null hypothesis, so, there is evidence of a significant difference in the four groups
Because F
Fcrit we
(traditional condensed, traditional regular, online condensed, and online regular).
To check for the different group, we complete the Tukey Kramer Comparisons. The results are summarized in the following table:
BC D
1 Tukey Kramer Multiple Comparisons
H.
2
3
Sample Sample
Absolute
Std. Error
Critical
4.
Comparison
Difference of Difference Range Results
Group
5 1: Group 1
Мean
Size
21.9
10 Group 1 to Group 2
6 1.187785054 4.5017 Means are different
10 Group 1 to Group 3
6 2: Group 2
7 3: Group 3
O 4: Group 4
27.9
1.18778
4.5017 Means are different
10 Group 1 to Group 4
10 Group 2 to Group 3
Group 2 to Group 4
Group 3 to Group 4
27
0.6
1.187785054 4.5017 Means are not different
21.3
0.9
1.187785054 4.5017 Means are not different
6.6
1.187785054 4.5017 Means are different
10
Other Data
5.7
1.187785054 4.5017 Means are different
11 Level of significance
0.05
12 Numerator d.f.
4
13 Denominator d.f.
36
14.1083
3.79
14 MSW
15 Q Statistic
What can you conclude about the effect of lenght and the type of the course?
Traditional condensed is different from traditional regular and from online condensed. Traditional regular is also different from
online regular, and online condensed is also different from online regular. Thus, whether condensing a course is a good idea
depends on whether the course is offered in a traditional classroom or as an online distance learning course. To ensure the highest
mean ACT scores, the company should use the traditional approach for courses that are given over a 30-day period but use the
online approach for courses that are condensed into a 10-day period.
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