This data concerns an experiment my startup ran. We measured users' Interpupillary distance (the distance between their pupils), and then asked them to rate how satisfied they felt utilizing our Virtual Reality headsets.
Satisfaction was measured on a scale of 1 - 4 (1 = Very Dissatisfied, 4 = Very Satisfied). I had 50 samples.
So here I have one ordinal variable (Satisfaction), and one Continuous variable (Interpupillary distance). I decided to do a Spearman's rank correlation test: using that, I got a value of Spearman's Rank of -0.6935. This suggests a relatively strong negative correlation. However, when you graph my data, it makes no sense at all: here are graphed the ranks of each variable (x axis = IPD, y axis = satisfaction):
So, what exactly is going on? Am I using the wrong test? I am certain I did my calculations to arrive to my value of spearman's rank correctly.
Would greatly appreciate someone's help, thanks!