plotting psychometric functions is often preferable, as it is more easily amenable to principled quantitative analysis using tools such as probit analysis (fitting of cumulative Gaussian distributions). However, it also has important drawbacks. First, the threshold estimation is based only on p(yes), namely on "Hit" in Signal Detection Theory terminology. Second, and consequently, it is not bias free or criterion free. Third, the threshold is identified with the p(yes) = .5, which is just a conventional and arbitrary choice. References Wichmann, Felix A., and Frank Jäkel. "Methods in psychophysics." Stevens' Handbook of Experimental Psychology and Cognitive Neuroscience 5 (2018): 1-42. Psychometrics Perception