The diffusion model was fitted to reaction time distributions from the two experiments using standard techniques (see Ratcliff & Tuerlinckx,
2002) with the Diffusion Model Analysis Toolbox (Vandekerckhove & Tuerlinckx,
2008). For each individual participant, RT data for scenes containing consistent versus inconsistent objects were grouped into 6 RT bins defined by the 0.1, 0.3, 0.5, 0.7, and 0.9 quantiles. To fit the go/no-go data, an additional bin was included to count the number of no-go responses. To fit the two-choice data, correct and error RTs were grouped separately into RT bins. Quantile RTs averaged across participants were then used to generate predicted cumulative distributions of response probabilities (Vandekerckhove & Tuerlinckx,
2007,
2008). Best-fitting model parameters were found using the SIMPLEX method that minimized the Pearson chi-square (
χ2) for the observed versus predicted number of RTs within each RT bin; we also report Bayesian Information Criterion (BIC) statistics for model fits, which can be characterized as a maximum likelihood measure with a term that penalizes a model for its number of free parameters (Schwarz,
1978). The full diffusion model is defined by seven parameters: starting point of the accumulation process and its variability (
z, sz), decision threshold (
a), drift rate and its variability (
v, η), and the nondecision time and its variability (
Ter, st). For our model fits, starting point (
z =
a/2) and its variability, variability of drift rate (
η), and variability of nondecision time (
st) were held constant across the consistent and inconsistent conditions; fitting such a highly parameterized model requires data from more conditions than we had. So following other recent work with the diffusion model (Wagenmakers et al.,
2007), we fitted versions of the model where only the three key parameters, decision threshold (
a), nondecision time (
Ter), and drift rate (
v), were free to vary or were held constant across the consistent and inconsistent conditions (see also, Dutilh, Vandekerckhove, Tuerlinckx, & Wagenmakers,
2009; Grasman, Wagenmakers, & van der Maas,
2009; Matzke & Wagenmakers,
2009); we compared these versions of the diffusion model with a version where all three parameters were fixed across consistent and inconsistent conditions. In a sense, we are using the diffusion model as a data analysis tool in much the same way that psychophysicists routinely use signal detection theory.