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A two-state model of simple reaction time

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- 15 -<br />

<strong>of</strong> neural pulses. For the estimation, the timing <strong>model</strong> uses<br />

the inter-arrival-intervals <strong>of</strong> pulses and the counting <strong>model</strong><br />

uses the number <strong>of</strong> pulses during a fixed <strong>time</strong> interval. For<br />

these <strong>model</strong>s, Green and Luce(1974) derived the following equations<br />

for the mean <strong>two</strong>-choice <strong>reaction</strong> <strong>time</strong>s for auditory stimuli;<br />

For the timing <strong>model</strong>,<br />

p ·MRT - p ·MRT<br />

c c e e<br />

For the counting <strong>model</strong>,<br />

(1-13)<br />

(1-14)<br />

(1-15 )<br />

(1-16 )<br />

In the above equations, MRT 1 and MRT 2 are the mean <strong>reaction</strong><br />

<strong>time</strong>s for the <strong>two</strong> stimuli, 8 1 and 8 2 , MRT c and MRT e are the<br />

mean <strong>reaction</strong> <strong>time</strong>s <strong>of</strong> the correct responses and errors, and<br />

Pc and Pe are the probabilities <strong>of</strong> the correct responses and<br />

errors. Eq.(1-13) means that MRT 1 is a linear function <strong>of</strong> MRT 2 •<br />

Eq. (1-14) means that Pc MRT c - Pe MRT e<br />

is an approximately

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