“…For the psychometric Bayesian method (method ii), we applied a probabilistic model to estimate discrimination thresholds, using the Stan language (Carpenter et al, 2017; http://mc-stan.org/) via the brms package (v2.6.0; Bürkner, 2018; https://cran.r-project.org/ web/packages/brms/) within R. Here, we used a logistic regression model incorporating the psychometric function (see Kirwan and Nilsson, 2019), with success rate for random guessing (0.5) as the estimated lower asymptote and the lapse rate, found in tests with the unrewarded colours O6 and G6 in each experiment, as the upper asymptote. We reparameterised the psychometric function to directly assess the effects of conditions on the curve's inflection point (threshold T ip ) and the range of colour differences that account for 80% of the response range [threshold (m), width (w)]: the 'm,w' parameterisation (Kuss et al, 2005;Houpt and Bittner, 2018; also known as 'threshold, support': Alcalá-Quintana and García-Pérez, 2004).…”