Hello Muhammad, I am not sure which kinds of tests you are looking for, but qualitative researches are based on 'logical inferences', not 'statistical inferences'. However, sometimes, qualitative data are changed into quantitative using scales and categories. In this case, you can test your data using both parametric as well as non-parametric tests, depending upon your sample size and questionnaire design. If you are referring for non-parametric tests, Chi-Square is the most common test for categorical data. You can also use Mann-Whitney tests. I hope this helps. Hom
My dissertation field research was primarily qualitative, but I did use quantitative methods to better understand that group with which I was working. In my case, I was having a group of about seventy-five students take a quiz to check proverb knowledge. I analyzed the results using standard deviation and then a t-test to see whether the group functioned as a speech community in terms of the proverb set or was just a group of individuals.
Do you use "test" as in data collection instrument, like a questionary? Or as an analysis tool? In this case, stricty speaking, there are no qualitative tests, only statistical tests. But statistical tests can be applied to nominative variables, obtained by qualitative instruments in the data collection phase. I will be happy to complete my answer if you precise your question.