How is Spin experimentally determined?

I know what spin is and how theories determine it for particles. What I don't understand yet, is how people, through experiments and data analysis or whatever, reach to confirm/say that the $X$ particle has spin $s$.

For example: when the Higgs boson was finally discovered, there has been an initial (necessary) period in which everything has to be confirmed. Spin too. I remember that during those months people were more than anything else waiting for the confirmation that the Higgs had spin $0$.

Now I'm asking: how/ what is/are the process/es, in experiments, through which one does determine with experiments the spin of a particle? Is it "simple" some data analysis? How does this work?