We asked people to evaluate their skills in different fields with this kind of question: " On a scale from 1 to 5, how would you qualify your skills in Field A, with 1 been 'Not skilled at all' and 5 been 'Very skilled'? " (I believe it's a kind of Osgood scale).
I guess if we asked people to chose between categories and then recoded those categories on a scale from 1 to 5, this variable would have been ordinal. But here we asked them a number directly and just told them what was the correspondence of the minimum and the maximum of the scale. So is this variable still ordinal? Or is it discrete or Interval data?
The aim here is to detect differences between skills in different fields (so between different questions) and I read that it may not be a good idea to use some statistical tests (e.g. the Wilcoxon Signed Rank Test) on ordinal data (Does it ever make sense to treat categorical data as continuous? & Is ordinal or interval data required for the Wilcoxon signed rank test?).