For the following 3 groups - Do a One-way ANOVA and calculate the F statistic an
ID: 3266966 • Letter: F
Question
For the following 3 groups - Do a One-way ANOVA and calculate the F statistic and test for significance at alpha of 0.05. Calculate the explained variance index (eta squared). Write your results in a summery paragraph with APA line (see video for details of computation and writing). Show your work and the ANOVA table. (no need to do post-hoc tests).
A B C
3 5 6
5 5 10
3 1 10
1 5 6
Explanation / Answer
Using Minitab
One-way ANOVA: Responce versus Groups
Method
Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level = 0.05
Equal variances were assumed for the analysis.
Factor Information
Factor Levels Values
Groups 3 1, 2, 3
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Groups 2 56.00 28.000 7.00 0.015
Error 9 36.00 4.000
Total 11 92.00
Model Summary
S R-sq R-sq(adj) R-sq(pred)
2 60.87% 52.17% 30.43%
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Best Of Luck :)