A critical path generalization of the additive factor method: Analysis of a stroop task

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Abstract

Sternberg's additive factor method was generalized to apply to tasks involving both serial and concurrent processing. The generalization is based on the critical path method of scheduling. The effects on reaction time of factors prolonging separate processes in a task are discussed; in general these effects are interactions of a simple form. Reaction times can be used to deduce, in part, the schedule of the mental processes in a task, including their order of execution. Bounds on process durations can be derived. Often there are redundant equations so the method can be easily rejected if it does not apply. A dual task experiment by Greenwald was analyzed. In the task subjects were presented with two stimuli and made a response to each under high and low compatibility conditions. Two bottlenecks in processing were located: (a) Subjects make only one decision at a time, in accordance with single channel theory, although the high compatibility condition may be an exception; (b) there is a mental process which takes longer when the stimuli conflict. The decisions about the two stimuli probably change places in the schedula when compatibility is changed.

References (26)

  • J.T Townsend

    Serial and within-stage independent parallel model equivalence on the minimum completion time

    Journal of Mathematical Psychology

    (1976)
  • L.S Christie et al.

    Decision structure and time relations in simple choice behavior

    Bulletin of Mathematical Biophysics

    (1956)
  • F.C Donders

    Die Schnelligkeit psychischer Processe

    Archiv fur Anatomie und wissenschaftliche Medizin

    (1868)
  • L.R Ford et al.

    Flows in networks

    (1962)
  • D.R Fulkerson

    Expected critical path length in PERT networks

    Operations Research

    (1962)
  • A.G Greenwald

    On doing two things at once: Time sharing as a functional of ideomotor compatibility

    Journal of Experimental Psychology

    (1972)
  • F Harary

    Graph theory

    (1969)
  • B.H Kantowitz

    Double stimulation

  • S.W Keele

    Attention and human performance

    (1973)
  • Keele, S. W., & Neill, W. T. Mechanisms of attention. In E. Carterette & M. Friedman (Eds.), Handbook of perception....
  • J.E Kelley

    Critical path planning and scheduling, mathematical basis

    Operations Research

    (1961)
  • B Kerr

    Processing demands during mental operations

    Memory and Cognition

    (1973)
  • J.O Miller

    Effects of stimulus probability on encoding mechanisms in information processing tasks

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