For eg. I would like to what are the analytical techniques used in checking purity of natural dyes bought from Sigma Aldrich so as to conduct the same tests on the dyes extracted from other sources.
I'm not sure which test use Sigma Aldrich, I suppose that depends on the sample. But I think that is very probable that they perform NMR analysis, mass spectrometry, and or HPLC or GC analysis. NMR is really useful to check the structure and purity of compounds. I hope this information would be useful for you. Regards.