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 B C D 2 3 SUMMARY 4 Sum Average Variance Groups 5 Group 1 Count 10 219 21.9 11.2111 6 Group 2 7 Group 3 8 Group 4 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 df MS F P-value Fcrit 343.0750 3 116.0250 8.2239 0.0003 2.8663 14 Within Groups 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). LF.
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 B C D 2 3 SUMMARY 4 Sum Average Variance Groups 5 Group 1 Count 10 219 21.9 11.2111 6 Group 2 7 Group 3 8 Group 4 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 df MS F P-value Fcrit 343.0750 3 116.0250 8.2239 0.0003 2.8663 14 Within Groups 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). LF.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![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
G
1 ANOVA: Single Factor
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
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe1a90ae-eeb0-4a35-9354-18933c467d3a%2Fc47df2ff-8d81-4235-a765-30efd171e3dd%2Fqibhfg6_processed.png&w=3840&q=75)
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
G
1 ANOVA: Single Factor
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
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).
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