dPAM_grid: Generate Grid for PDF of Piecewise Attention Model

In ream: Density, Distribution, and Sampling Functions for Evidence Accumulation Models

Generate Grid for PDF of Piecewise Attention Model

Description

Generate a grid of response-time values and the corresponding PDF values. For more details on the model see, for example, dPAM.

Usage

dPAM_grid(rt_max = 10, phi, x_res = "default", t_res = "default")

Arguments

rt_max	maximal response time <- max(rt)
phi	parameter vector in the following order: Non-decision time (t_{nd}). Time for non-decision processes such as stimulus encoding and response execution. Total decision time t is the sum of the decision and non-decision times. Relative start (w). Sets the start point of accumulation as a ratio of the two decision thresholds. Related to the absolute start z point via equation z = b_l + w*(b_u - b_l). Perceptual input strength of outer units (p_{outer}). Perceptual input strength of inner units (p_{inner}). Perceptual input strength of target (p_{target}). Target selection time (t_s). Noise scale (\sigma). Model noise scale parameter. Decision thresholds (b). Sets the location of each decision threshold. The upper threshold b_u is above 0 and the lower threshold b_l is below 0 such that b_u = -b_l = b. The threshold separation a = 2b. Contamination (g). Sets the strength of the contamination process. Contamination process is a uniform distribution f_c(t) where f_c(t) = 1/(g_u-g_l) if g_l <= t <= g_u and f_c(t) = 0 if t < g_l or t > g_u. It is combined with PDF f_i(t) to give the final combined distribution f_{i,c}(t) = g*f_c(t) + (1-g)*f_i(t), which is then output by the program. If g = 0, it just outputs f_i(t). Lower bound of contamination distribution (g_l). See parameter g. Upper bound of contamination distribution (g_u). See parameter g.
x_res	spatial/evidence resolution
t_res	time resolution

Value

list of RTs and corresponding defective PDFs at lower and upper threshold

Author(s)

Raphael Hartmann & Matthew Murrow

References

White, C. N., Ratcliff, R., & Starns, J. J. (2011). Diffusion models of the flanker task: Discrete versus gradual attentional selection. Cognitive Psychology, 63(4), 210-238.

ream documentation built on Oct. 7, 2024, 1:20 a.m.