I performed 3 experiments, each experiment tested a different system, and each experiment involved a distinct group of subjects. In total there where 25 participants (7 for the first system, 7 for the second, 11 for the third). Subjects were asked to identify a stimulus (i.e. a vibration provided by a haptic device).
Recognition was measured as 1 = correct identification, 0 = incorrect identification. Stimuli where repeated, each stimulus receive 0 or 1 as measurement of participants' responses to it.
The stimuli where different for each system. Still I want to test whether participants using one system performed better than the participants using other systems.
My goal is only to assess the statistical differences between the 3 groups. Which non-parametric analysis I have to perform for this case of between-subjects experimental design?
I was thinking to the Mann-Whitney-Wilcoxon test, but I am unsure if I am correct. Is there anyone who could suggest which is the right analysis and provide a R example?