SUMMARY Groups Group 1 Group 2 Group 3 ANOVA Source of Variation Count 15 15 15 SS Sum 727 750 761 df Average Variance 48.46666667 10.26666667 50 11.71428571 13.4952381 50.73333333 MS F

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Anova: Single Factor
SUMMARY
Groups
Group 1
Group 2
Group 3
ANOVA
Source of
Variation
Count
15
15
15
SS
Between Groups 40.13333333
Within Groups
496.6666667
Total
536.8
Sum
727
750
761
df
2
42
44
Average
48.46666667
Variance
10.26666667
50 11.71428571
13.4952381
50.73333333
MS
F
P-value
F crit
20.06666667 1.696912752 0.195570181 3.219942293
11.82539683
Required;
Using a confidence level of 95% with a significance level of 0.05,
i. State in words, the null and alternative hypothesis for this case (Groups 1,2&3).
ii.
Compute the degrees of freedom between groups (Source of Variation).
Transcribed Image Text:Anova: Single Factor SUMMARY Groups Group 1 Group 2 Group 3 ANOVA Source of Variation Count 15 15 15 SS Between Groups 40.13333333 Within Groups 496.6666667 Total 536.8 Sum 727 750 761 df 2 42 44 Average 48.46666667 Variance 10.26666667 50 11.71428571 13.4952381 50.73333333 MS F P-value F crit 20.06666667 1.696912752 0.195570181 3.219942293 11.82539683 Required; Using a confidence level of 95% with a significance level of 0.05, i. State in words, the null and alternative hypothesis for this case (Groups 1,2&3). ii. Compute the degrees of freedom between groups (Source of Variation).
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Follow-up Question

State your decision and make your decision using your P-values 

Conclude based on your decision using the hypothesis you have stated above and the P-value from the ANOVA table. 

Anova: Single Factor
SUMMARY
Groups
Group 1
Group 2
Group 3
ANOVA
Source of
Variation
Count
15
15
15
SS
Between Groups 40.13333333
Within Groups
496.6666667
Total
536.8
Sum
727
750
761
df
2
42
44
Average
Variance
48.46666667 10.26666667
50 11.71428571
13.4952381
50.73333333
MS
F
P-value
20.06666667 1.696912752 0.195570181
11.82539683
F crit
3.219942293
Transcribed Image Text:Anova: Single Factor SUMMARY Groups Group 1 Group 2 Group 3 ANOVA Source of Variation Count 15 15 15 SS Between Groups 40.13333333 Within Groups 496.6666667 Total 536.8 Sum 727 750 761 df 2 42 44 Average Variance 48.46666667 10.26666667 50 11.71428571 13.4952381 50.73333333 MS F P-value 20.06666667 1.696912752 0.195570181 11.82539683 F crit 3.219942293
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