Question

Broadly speaking, what is the F ratio used in ANOVA?

A. A ratio of variances that tells you which individual group(s) is/are different from the other(s)

B. A ratio of sums of squares that tells if differences between groups are larger than differences within groups

C. A ratio of sums of squares that tells us which specific group(s) is/are different from the other(s)

D. A ratio of variances that tells if differences between groups are larger than differences within groups

Answer 1

option D is correct

D. A ratio of variances that tells if differences between groups are larger than differences within groups

F ratio is distribution of ratio of variance sample from two distribution to check if they are from same population or not,

in ANOVA we used to check if variance between group is due to treatment effect or due to individual difference (ranom error)

therefore F ratio =(variation between group)/variation within group