You'll need to furnish more information about your specific research question, any independent variables (and how each is quantified), and how your DV is quantified in order to get a focused recommendation.
I will offer a general observation, that if your one-item DV used a Likert-type response scale, then some variation of ordinal regression or rank-order based comparison (e.g., Mann-Whitney, Kruskal-Wallis, if comparing groups) would be potential choices.
There is no way other than non-parametric methods. David Morse is right. The number of questions relevant to independent variables is important as well. If you want to be better guided say about the number of independent variables (the relevant questions).
To provide you with help, you need to furnish the number and type of variables you have in your study. In the meantime, you might go through the following relevant RG thread.