Bayesian inference and experimental data.

<p>We plot the probability to report a correct answer <i>A</i> as a function of <i>n</i>_<i>A</i> − <i>n</i>_<i>B</i> for various (<i>n</i>_<i>A</i>, <i>n</i>_<i>B</i>) pairs: (a) Data set <i>D</i>₁, (b) Data set <i>D</i>₂. The circles correspond to the data. The solid curves indicate the best fits of <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0121332#pone.0121332.e003" target="_blank">Equation (3)</a>: (<i>p</i>, <i>s</i>) = (0.80, 0.75) in (a) and (0.82, 0.87) in (b).