I have an hedonic sensory data which is generated by using 2 samples and 30 same panelist. Do I have to use the statistical independent methods (Mann-Whitney U) or dependent ones (Wilcoxon test)?
If you are using 2 samples with the same 30 panelists, the samples are paired or dependent. Therefore use a dependent technique, rather than an independent technique, for comparison.
Sorry but you are confused. See Rosner Fundamentals of Biostatistics in the z-library google instructions for it's use. Please note that the names of the tests may slightly different. If needed you can find the same information with the text in the attachment also in z-library. Best wishes, David Booth
Your data is not independent. The assumption of independence can never be met in hedonic test (and sensory test in general) involving evaluation of multiple samples in the same session.
It is in my view much more important to think about this when preparing the experiment (e.g., use a warm-up samples, randomize serving order, allow sufficient recovery between samples, etc). If the experiment is properly conducted you probably will get the same conclusion regardless of which of the two tests you use. You can probably even use a paired sample t-test which is sufficiently robust against non-normality.
Off topic, N= 30 is a very low sample size for hedonic data. It may also be the reason why the data are not normal.