Not exactely. Experimental hypothesis and statistical nullWhen you reject the null hypothesis, you are accepting the experimental hypothesis,

hypotheses are from different domains. For example,

experimental hypotheses usually (if they are not identical

with the null hypothesis) are no exact point hypotheses.

Experimental hypotheses may state that there is a non-zero difference in thenamely that there IS a significant difference between variables or conditions

populations where the data are sampled from. Whether this is significant in the

non-statistical sense (importance or relevance) cannot be answered by the

statistical significance test. The statistical significance test only provides

information about how probable sample data were if one assumed a true

null hypothesis (which ususally is: in the population the effect is EXACTELY

0.00). To reject the null, you either need a strong effect (if you're dealing with

small samples) or simply a large sample.

Your research question was not "is there a significance of differences betweenA simple ranking will not do the job, because it tells you nothing about the statistical significance of differences between conditions in the data.

conditions in the data". I was referring to your original question. And ranking

would be just the start, testing would be the next step.

What you mean by probabilities from which effects can be inferred, I am not sure.Ranking just tells me that one mean (or median) is greater than another, not about probabilities from which effects can be inferred.

One could test if rank differences within your sample permit inferences about rank differences in the population.

Kind regards

K.