Jackie Andrade, a psychology professor at the University of Plymouth, conducted a study regarding the impact on attention of simple activities such as doodling. She found that research participants who doodled while listening to a conversation were able to recall more details of the conversation than those who were not doing anything. You decide to explore this issue by having three different groups try recalling details from a conversation. The first group is doing a math problem, the second group is not doing anything, and the third group is doodling. The sample mean and sum of squares of the scores for each of the three groups are presented in the following table. Group Doodling No activity Math problem Sample Mean 94.1 108.7 111.4 Sum of Squares 9,467.2900 7,903.2100 8,667.6100

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Jackie Andrade, a psychology professor at the University of Plymouth, conducted a study regarding the impact on attention of simple activities such as
doodling. She found that research participants who doodled while listening to a conversation were able to recall more details of the conversation than
those who were not doing anything.
You decide to explore this issue by having three different groups try recalling details from a conversation. The first group is doing a math problem, the
second group is not doing anything, and the third group is doodling.
The sample mean and sum of squares of the scores for each of the three groups are presented in the following table.
Group
Doodling
No activity
Math problem
Sample Mean
94.1
108.7
111.4
Source of Variation
Between Treatments
Within Treatments
Total
Sum of Squares
9,467.2900
7,903.2100
8,667.6100
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
SS
8,662.34
26,038.11 147
34,700.45 149
df
2 4,331.17
177.13
MS
F
24.45
Transcribed Image Text:Jackie Andrade, a psychology professor at the University of Plymouth, conducted a study regarding the impact on attention of simple activities such as doodling. She found that research participants who doodled while listening to a conversation were able to recall more details of the conversation than those who were not doing anything. You decide to explore this issue by having three different groups try recalling details from a conversation. The first group is doing a math problem, the second group is not doing anything, and the third group is doodling. The sample mean and sum of squares of the scores for each of the three groups are presented in the following table. Group Doodling No activity Math problem Sample Mean 94.1 108.7 111.4 Source of Variation Between Treatments Within Treatments Total Sum of Squares 9,467.2900 7,903.2100 8,667.6100 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 SS 8,662.34 26,038.11 147 34,700.45 149 df 2 4,331.17 177.13 MS F 24.45
These findings are significant at a = 0.01, 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?
OSS between/SSwithin
OSS between SStotal
OMS between/MS within
OMS between/MStotal
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
Transcribed Image Text:These findings are significant at a = 0.01, 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? OSS between/SSwithin OSS between SStotal OMS between/MS within OMS between/MStotal 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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