Answered: Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of experiments on conversation and attention level. He found that…

Name: Amit Almor, a psychology researcher at the University of South Carolin
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Description: 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

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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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.

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 .

What is the formula for this measure of the effect size?

MSbetweenbetween/MStotaltotal

SSbetweenbetween/SSwithinwithin

SSbetweenbetween/SStotaltotal

MSbetweenbetween/MSwithinwithin

Based on the data given, the effect size is . (Round your answer to two decimal places)

The percentage of variability in the scores accounted for by the effect due to treatments is .

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