Following are results from an analysis of variance. Is this a single-factor, two
ID: 3269901 • Letter: F
Question
Following are results from an analysis of variance.
Is this a single-factor, two-factor (two-way) or three factor ANOVA? _____________ How many “treatments” are there? ____________
How was F calculated?
What can be concluded, and why?
Treatments 58 62 61 60 59 54 60 61 61 58 64 62 59 57 61 54 52 SUMMARY Groups Count SumAverage Variance 354 366 338 59 61 56.3 11.1 ANOVA Source of Variationn Between Groups Within Groups Total df MS P-value F cit 65.8 115.3 181.1 2 15 17 32.9 7.7 4.30.034 3.7 Is this a single-factor, two-factor (two-way) or three factor ANOVA? How many "treatments" are there? How was F calculated? What can be concluded, and why?Explanation / Answer
Is this a single-factor, two-factor (two-way) or three factor ANOVA?
Answer: This is single factor ANOVA
How many “treatments” are there?
Answer: 3 (A,B,C)
How was F calculated?
Answer = F = MST/MSE = 32.9/7.7 = 4.3
What can be concluded, and why?
Answer: Since F calculated is greater than Critical value of F, we reject null hypothesis( i.e. the three treatments are homogeneous) is rejected and conclude that the treatment A, B, C differ significantly.
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