title: An analytic form for the interresponse time analysis of Shull, Gaynor, and Grimes with applications and extensions.
abstract: Shull, Gaynor and Grimes advanced a model for interresponse time distribution using probabilistic cycling between a higher-rate and a lower-rate response process. Both response processes are assumed to be random in time with a constant rate. The cycling between the two processes is assumed to have a constant transition probability that is independent of bout length. This report develops an analytic form of the model which has a natural parametrization for a higher-rate within-bout responding and a lower-rate visit-initiation responding. The analytic form provides a convenient basis for both a nonlinear least-squares data reduction technique to estimate the model's parameters and Monte Carlo simulations of the model. In addition, the analytic formulation is extended to both a refractory period for the rats' behavior and, separately, the strongly-banded behavior seen with pigeons.
authors.affiliation: ElectroOptics Technology Section, Code 8123, Naval Research Laboratory, Washington, DC 20375-5354, USA. kessel@ncst.nrl.navy.mil
authors.forename: Robert
authors.initials: R
authors.lastname: Kessel
authors.forename: Robert L
authors.initials: RL
authors.lastname: Lucke
mesh_terms: D000818:Animals; D001522:Behavior, Animal; D010856:Columbidae; D003627:Data Interpretation, Statistical; D008960:Models, Psychological; D009010:Monte Carlo Method; D011930:Reaction Time