Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

• When would you use a simple analysis of variance? • When would you use a one-w

ID: 3312057 • Letter: #

Question

• When would you use a simple analysis of variance?
• When would you use a one-way analysis of variance?
• What is the Between Groups sum of squares?
• What is the Total Sum of Squares?
• What does ANOVA and the effect size tell us?

• When would you use a simple analysis of variance?
• When would you use a one-way analysis of variance?
• What is the Between Groups sum of squares?
• What is the Total Sum of Squares?
• What does ANOVA and the effect size tell us?


• When would you use a one-way analysis of variance?
• What is the Between Groups sum of squares?
• What is the Total Sum of Squares?
• What does ANOVA and the effect size tell us?

Explanation / Answer

Soln 1:

When we want to compare the means of two independent groups, we use simple analysis of variance

Soln 2:

When we want to compare the means of more than two independent groups, we use one-way analysis of variance

The one-way analysis of variance compares and determines if any of the means are statistically significantly different from each other.

Soln 3:

We calculate the variation between groups by comparing the mean of each group with the mean of the overall sample. This measure of between-group variance is known as between sum of squares.

Soln 4:

The Total SS tells you how much variation there is in the dependent variable.
Total SS = (Yi – mean of Y)2.

Soln 5:

ANOVA does not indicate how different means are from one another.

Effect size helps us estimate how large any difference we find may be. The most common measure of effect size for a one way Anova is Eta-squared

2 = SS between / SS total