Farey Trees Explain Sequential Effects in Choice Response Time.

Area of Science:

• Cognitive Psychology
• Dynamical Systems Theory
• Human Performance

Background:

• Response times exhibit complex sequential effects, varying with trial history, stimuli, and responses.
• Previous models have not fully captured the dynamic nature of these sequential dependencies.

Purpose of the Study:

• To test a novel hypothesis that sequential effects in response times are governed by dynamic principles.
• To adapt and apply a discrete sine-circle map adaptation of the Haken Kelso Bunz (HKB) model to explain these effects.

Main Methods:

• Utilized a Haken Kelso Bunz (HKB) bimanual coordination model adaptation.
• Analyzed five studies examining sequential effects under various conditions (pacing, cognitive load, performance type).

Main Results:

• The HKB model successfully explained existing sequential dependency data.
• The model predicted both repetition and alternation advantages based on task pace and variability.
• Oscillatory influences were identified across diverse experimental contexts.

Conclusions:

• Sequential effects in human performance are lawfully constrained by oscillatory dynamics.
• The HKB model provides a robust framework for understanding response time sequential dependencies.
• These findings advance the understanding of cognitive control and decision-making processes.