1.A health psychologist wondered if type of breakfast eaten affects mid-morning
ID: 3365993 • Letter: 1
Question
1.A health psychologist wondered if type of breakfast eaten affects mid-morning concentration. She obtained 45 volunteers and randomly assigned them into three equally sized groups: (1) a group that ate bacon and eggs, (2) a group that ate oatmeal, and (3) a group that did not eat breakfast. Three hours after breakfast time, she administered a standard concentration test to each, in which higher scores indicate better concentration. The average concentration scores for the bacon and eggs group, oatmeal group, and no breakfast group were 34.33, 27.87, and 26.67, respectively. The one-way ANOVA source table is as follows:
Source
SS
df
MS
F
Between
510.178
2
255.089
2.546
Within
4208.4
42
100.2
--
Total
4718.578
44
--
--
a.Is it necessary to conduct follow-up analyses? How did you determine this?
b.If follow-up analyses are necessary, compute and report an effect size measure and the results of Tukey’s HSD post hoc test.
Source
SS
df
MS
F
Between
510.178
2
255.089
2.546
Within
4208.4
42
100.2
--
Total
4718.578
44
--
--
Explanation / Answer
No it is not necessary to conduct a follow up test
Reason: p value for F = 2.546 with (2,42) degrees of freedom is 0.0904 , which implies that the result is not significant ( as p value > 0.05)
There is no significant difference between means of three groups
If the result is not significant we dont have to do any follow up test
If the result is significant we conduct follow up tedt up find out which two means are different from each other
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