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Feb 7, 2019 at 8:20 comment added user2974951 @wnawaz My bad, for a one-sample Wilcoxon test, to be a test of the median, the data need to be relatively symmetrical about their median. If this is not true then a Sign test can save you.
Feb 5, 2019 at 11:20 comment added wnawaz Thank you for your prompt response and I completely agree with what you have said. However, you have mentioned about two distributions, which give me an impression that we are comparing two samples (regardless - dependent or independent), whereas my original question is about one sample. I have a fixed median value (test score) which I want to compare with all statements (data points) to see if the median is statistically higher (than the fixed median). In such a case, how do I find the pairwise difference? If I treat the fixed value as a pair against each data point, its still skewed.
Feb 5, 2019 at 11:08 history answered user2974951 CC BY-SA 4.0