I conducted an experiment with human subjects in which the independent variable has 3 treatment levels and the dependent variable is the duration of time that passes before the subject engages in a specific action of interest. The minimum duration is 0 seconds and the maximum is 900 seconds (i.e., 15 minutes, at which point the experimenter ends the experiment).
It seems I could use a nonparametric text like Wilcoxon rank sum (to conduct pairwise comparisons), but I'm not sure if this is the most sensitive/appropriate test I could use. I know survival analysis is sometimes used, but again not sure if it's better or more appropriate than a nonparametric test.
I'd also like to know if there is an advantage to using a survival analysis/log-rank test over the Wilcoxon rank sum (aka Mann-Whitney U test).
Finally, I'm not clear on how to run the survival analysis.