Question

Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of experiments on conversation and attention level. He found that subjects were four times more distracted while preparing to speak or speaking than when they were listening. This research has many implications, including those for the issue of using cell phones while driving.

You decide to explore this issue by having three different groups try tracking a fast-moving target on a computer screen. The first group is preparing to speak, the second group is speaking, and the third group is listening to a conversation.
The sample mean and sum of squares of the scores for each of the three groups are presented in the following table.

Group Sample Mean Sum of Squares
Preparing to speak 98.3 7,2810.0900
Speaking 101.5 6,6156.8100
Listening 103.2 70,277.7600

After collecting the data, you analyze the data using an ANOVA. The results of your analysis are presented in the following ANOVA table.


Source of Variation SS df MS F
Between Treatments 3,095.00 2 1,547.50 5.52
Within Treatments 209,244.66 747 280.11
Total 212,339.66 749

These findings are significant at α = 0.05, which tells you that the difference is very unlikely to have occurred just by chance, but it does not tell you the size of the effect. A simple measure of the effect size is given by: ________
Required:
What is the formula for this measure of the effect size?

Answer 1

Answer:

η²

SSbetween / SStotal

η² = 0.0145757

Step-by-step explanation:

Effect size, η² = SSbetween / SStotal

SSbetween is the sum of square between the groups in the experiment. It is sometimes denoted as SSb.

The sum of square Total, SStotal measures the entire variability in these dataset.

SSbetween = 3,095.00 ; SStotal = 212,339.66

η² = SSbetween / SStotal

Effect size η²= 3,095.00 / 212,339.66

Effect size = 0.0145757