Supplementary Fig. 2: GAM analysis reveals the detailed functions of bias towards recent and towards earlier trials.
From: Perceptual bias reveals slow-updating in autism and fast-forgetting in dyslexia
GAM was applied to the data of 125 M-Turk participants who performed the protocol with the broad uniform distribution. (a) Bias functions of the 5 most recent time-lags (d1,…d5) and d∞ estimated using GAM regression, modeled according to \(p\left( {\prime\prime f_2^t > f_1^t\prime\prime } \right) = {\mathrm{\Phi }}\left( {\alpha ^s\delta ^t + \mathop {\sum}\nolimits_{i = 1}^5 {b_i + b_\infty } } \right)\). Although the magnitude of the bias decreases with time, the unique shape remains. Error bars (shaded region) indicate standard deviation (b) The fraction of variance explained by each of the plotted components. For this broad uniform distribution, the component corresponding to the most recent trial accounted for 70.6% of the entire bias variance, and the two preceding trials accounted for 10% and 3.7% respectively. The longer term component accounted for 12.9%.
