Premium
Variance results for random walk models of choice reaction time
Author(s) -
Schwarz W.
Publication year - 1991
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1991.tb00960.x
Subject(s) - random walk , identifiability , mathematics , variance (accounting) , statistics , conditional variance , wald test , econometrics , statistical hypothesis testing , volatility (finance) , accounting , business , autoregressive conditional heteroskedasticity
Approximate expressions for the conditional reaction time variances in general random walk models based on Wald's (1947) approximation are first derived, and then the corresponding exact results for a model assuming a Laplacean density of step sizes are derived. The results are applied to auditory choice reaction time data obtained by Green et al . (1983), and approximate and exact results are compared. The paper concludes with a discussion of whether the predictions, which are the first relevant results on conditional first passage time variances, increase the identifiability and the power of tests of the general random walk model.