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ANOVA
<u>Source of Variation SS df MS F P-value F crit</u>
Between Groups 1471.33 2 735.68 11.59 0.001072834 3.7389
Within Groups 888.55 14 63.4677
Total 2359.882 16
The APA style refers to Times New Roman Font 12 pts.
The effect size of the result is <u>0.6233 medium</u>
Part A
ANOVA
<u>Source of Variation SS df MS F P-value F crit</u>
Between Groups 1471.33 2 735.68 11.59 0.001072834 3.7389
Within Groups 888.55 14 63.4677
Total 2359.882 16
1) The null and alternative hypotheses are
H0: u1=u2=u3
Ha: Not all means are equal
2) The significance level is alpha = 0.05
3) The test statistic F = sb²/sw²
Which if H0 is true has an F distribution with ν1=2 and v2= 14 degrees of freedom.
The computations are
Anova: Single Factor
<u>Groups Count Sum Average Variance</u>
Column 1 6 373 62.16666667 78.96666667
Column 2 4 324 81 60.66666667
Column 3 7 402 57.42857143 51.95238095
ANOVA
<u>Source of Variation SS df MS F P-value F crit</u>
Between Groups 1471.33 2 735.68 11.59 0.001072834 3.7389
Within Groups 888.55 14 63.46768707
Total 2359.882353 16
5) The<em> critical</em> region is F ≥ F(0.05)(2,14) = 3.74
6) Conclusion:
Since the computed value<u> F= 3.73 does not</u> fall in the critical region F> 3.74 so we accept H0 and conclude that there is no significant difference in the three means.
Part D: The effect size of the result is <u>0.6233 medium</u> and calculated by
η²= ss between/ ss between + ss error
η²= 1471/1471+889
η²= 0.6233
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