I am writing my Phd thesis in which I try to make an indicator based assessment. My aim is to be able to compare provinces in terms of their index results. One of the indicators is temperature and I use Mann-Kendall Test and Sen's slope estimator in order to detect trend and also the magnitude of that trend. Since I want to compare the temperature increase of corresponding provinces, should I use the Z value or Qmed value in order to use it for the assessment?
I am asking because I realized that the province with higher Z value has lower Qmed value than other province has.