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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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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).
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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