The One-Way Analysis of Variance (ANOVA) Assignment (Coursework Sample)

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Analysis of Variance (ANOVA)
The One-Way Analysis of Variance (ANOVA) was conducted to determine if the design of environmental studies and teaching strategies (on-ground, e-learning, blended) had a significant bearing on scores attained in the final exam. On-ground, blended and e-learning, teaching strategies represented the independent variable. The dependent variable, on the other hand, was represented by scores obtained on the final exam.
Based on the ANOVA output, there was no statistically significant difference (impact) witnessed on the scores received in the final exam following design of environmental studies and teaching strategies (on-ground, e-learning, blended).The p-value, p= 0.177, obtained exceeds the significance level, F (2,488) = 1.737, p>0.05. Furthermore, the test of homogeneity of variances produced significant results, Levene’s F (2, 488) = 1.426, p = .241 based on mean, F (2, 488) = 1.343, p = .262 based on median, F (2, 488) = 1.299, p = .274 based on trimmed mean, implying that the homogeneity assumption of means, which underlies the application of Analysis of Variance, was not met.
Eta squared (ω2)= Sum of squares between Groups/Total sum of squares
=536.60875927.927
ω2=.007
The overall output would then be written as F (2,488) = 1.737, p>.05, ω2=.007
ω2 = .007 gives an indication of the omnibus effect size (st...