TY  - JOUR
A1  - Sorensen, Tanner
A1  - Hohenstein, Sven
A1  - Vasishth, Shravan
T1  - Bayesian linear mixed models using Stan: A tutorial for psychologists, linguists, and cognitive scientists
JF  - Tutorials in Quantitative Methods for Psychology
N2  - With the arrival of the R packages nlme and lme4, linear mixed models (LMMs) have come to be widely used in experimentally-driven areas like psychology, linguistics, and cognitive science. This tutorial provides a practical introduction to fitting LMMs in a Bayesian framework using the probabilistic programming language Stan. We choose Stan (rather than WinBUGS or JAGS) because it provides an elegant and scalable framework for fitting models in most of the standard applications of LMMs. We ease the reader into fitting increasingly complex LMMs, using a two-condition repeated measures self-paced reading study.
KW  - Bayesian data analysis
KW  - linear mixed models
Y1  - 2016
U6  - https://doi.org/10.20982/tqmp.12.3.p175
SN  - 2292-1354
VL  - 12
SP  - 175
EP  - 200
PB  - University of Montreal, Department of Psychology
CY  - Montreal
ER  - 
TY  - JOUR
A1  - Sorensen, Tanner
A1  - Gafos, Adamantios I.
T1  - The Gesture as an Autonomous Nonlinear Dynamical System
JF  - Ecological psychology : a publication of the International Society for Ecological Psychology
N2  - We propose a theory of how the speech gesture determines change in a functionally relevant variable of vocal tract state (e.g., constriction degree). A core postulate of the theory is that the gesture determines how the variable evolves in time independent of any executive timekeeper. That is, the theory involves intrinsic timing of speech gestures. We compare the theory against others in which an executive timekeeper determines change in vocal tract state. Theories that employ an executive timekeeper have been proposed to correct for disparities between theoretically predicted and experimentally observed velocity profiles. Such theories of extrinsic timing make the gesture a nonautonomous dynamical system. For a nonautonomous dynamical system, the change in state depends not just on the state but also on time. We show that this nonautonomous extension makes surprisingly weak kinematic predictions both qualitatively and quantitatively. We propose instead that the gesture is a theoretically simpler nonlinear autonomous dynamical system. For the proposed nonlinear autonomous dynamical system, the change in state depends nonlinearly on the state and does not depend on time. This new theory provides formal expression to the notion of intrinsic timing. Furthermore, it predicts experimentally observed relations among kinematic variables.
Y1  - 2016
U6  - https://doi.org/10.1080/10407413.2016.1230368
SN  - 1040-7413
SN  - 1532-6969
VL  - 28
SP  - 188
EP  - 215
PB  - Elsevier
CY  - Abingdon
ER  -