A series of three experiments was conducted with identical design as an earlier series (Hildreth, 1973). Its purpose was (1) to determine whether Bloch's law holds for simple reaction time (RT) to still lower intensity visual stimuli, and (2) to provide data for testing a stochastic generalization of the temporal integration model (TI-ED) reported earlier. RT means were found to agree with Bloch's law for durations below 48 msec. By a statistical test, Bloch's law was shown to hold for both means and standard deviations below about 65 msec. Latency statistics-means and standard deviations-were predicted by a Poisson process counting model. This model assumes that a number of identical, parallel Poisson processes, activated by light, with pulse interarrival times decreasing with light intensity, trigger light detection when a critical number of pulses arrive at a counting center. For the intensities investigated, both the estimated number of Poisson processes and critical number of pulses required for detection range between 8 and 13. The model predicts the Broca-Sulzer effect for mean RTs which is observed in several of these experiments.At least two reports, Bruder and Kietzman (1973) and Hildreth (1973), have provided evidence that Bloch's law (BL) holds for RTs for durations less than 16 msec. It was observed in the former to hold when a narrow range of intensities (L to L/4) was used within a given experiment. This is a report of further experimentation with lower light intensities, testing the applicability of BL to RTs to thresholdlevel light stimuli.Secondly, this report proposes a model, the Poisson counting model, of a general class of models first proposed by Luce and Green (1972). As a stochastic generalization of the temporal integration -exponential decay model (TI-ED) presented in Hildreth (1973), the Poisson counting model (1) provides a mechanism for predicting RT means, variances, and detection probabilities; (2) accounts for contextual effects observed in mean RTs: the increase by a constant amount of means to identical stimuli when included in a lower intensity stimulus set; and (3) predicts the Broca-Sulzer effect for RT means, which was observed most clearly in the lowest intensity experiments.
METHOD
PrCK:edureThe purpose of these three experiments was to investigate RT statistics for near-threshold light intensities.Work on this project was supported in part by a research grant from the University of Wisconsin-Eau Claire. The author thanks John I. Yellott, Jr., for his helpful advice and David LaBerge for the use of his laboratory at the University of Minnesota. The author's address is: West Publishing Co., SO West KelloggBlvd., P.O. Box 3526, St. Paul, Minnesota 55165.Each experimental session consisted of a sequence of simple RT trials, 25OJo of which were catch (no stimulus) trials. Over the remaining 75OJo of the trials, stimulus duration and intensity varied randomly, as described below. Altogether, there were three experiments, corresponding to three different ranges of intensity. Ex...