I know I can use an ANOVA (+ post-hoc tests) to determine the equality (or inequality) of three groups:
- (i.e., H0: each of 3 means are equal; H A: at least 1 of 3 means is not equal).
However, how do I determine which of 2 group means is more similar to a third group's mean?
Obviously I could do this using arithmetic by comparing the means of each group
- i.e., something like: [(meanA - meanC)] < [(meanB - meanC)],
but I'm looking for a formal statistical test to answer this question.
A formal hypothesis might look something like:
H0: [meanA - meanC] = [meanB - meanC]
HA: [meanA - meanC] > [meanB - meanC]
(However, he hypothesis doesn't necessarily need to take that mathematical form.)
Are the average heights of cherry trees or maple trees closer to the average height of apple trees?