What is the difference between the two sets of statistic tests?
Which is recommended for finding out if the difference between groups is more significant than within groups, for non-parametric stable isotopic signature data?
Cross Validated is a question and answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. It only takes a minute to sign up.Sign up to join this community
ANOSIM was designed for multivariate responses, Kruskal-Wallis for a univariate response. ANOSIM converts the response to distances/dissimilarities and computes rank from those whereas Kruskal-Wallis ranks the observations themselves.
Unless you have multivariate responses (i.e. a matrix for $y$) then I would probably avoid ANOSIM. If you do then I would probably direct you to the
adonis() function in the vegan R package as it does a multivariate form of ANOVA but using dissimilarities; it is generally considered a more robust approach than ANOSIM.
You will need to explain more about your specific data and hypothesis for us to be able to comment more.