Assume that six subjects received one of three trials and produced the data repo
ID: 3316596 • Letter: A
Question
Assume that six subjects received one of three trials and produced the data reported in Data Set B. Conduct a one-way ANOVA to see if the trial means and subject means are different at a statistically significant level. Complete an ANOVA table reporting the relevant SS, df, MS, and Fs. Also remember to include your critical value and whether you would reject your null hypothesis.
Data Set B
Treatment 1
Treatment 2
Treatment 3
Subject 1
50
60
70
Subject 2
55
60
65
Subject 3
90
80
70
Subject 4
45
55
65
Subject 5
85
70
55
Subject 6
35
40
45
Treatment 1
Treatment 2
Treatment 3
Subject 1
50
60
70
Subject 2
55
60
65
Subject 3
90
80
70
Subject 4
45
55
65
Subject 5
85
70
55
Subject 6
35
40
45
Explanation / Answer
H0:There is no significance difference between means of three grroups
H1: There is a significance difference between means of three grroups
alpha:5%
F cal=0.016
P value=0.9841 >0.05,
P>0.05, we donot reject the H0.
Hence claim is significant.
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Treatment 1 6 360 60 500 Treatment 2 6 365 60.83333 184.1667 Treatment 3 6 370 61.66667 96.66667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 8.333333 2 4.166667 0.016009 0.984136 3.68232 Within Groups 3904.167 15 260.2778 Total 3912.5 17