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A two-state model of simple reaction time

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- 65 -<br />

stimulus as equal to or as half <strong>of</strong> the standard stimulus S.<br />

For this pair <strong>of</strong> SL and 8 1 / 2 (::::t) ,<br />

(3-4)<br />

0-5)<br />

Let P (t) be the proportion retained after t <strong>time</strong> passed<br />

r<br />

from the end <strong>of</strong> S. For a suitable pair <strong>of</strong> standard stimuli, S1<br />

and. S2' SL::: 8 1 / 2 •<br />

(8 L - S6)n<br />

(8 1 -S 0 )n<br />

- Pr(t)<br />

2(Sl/2-80)n<br />

(S2-S0)n<br />

where So and So are the absolute thresholds for the standard and<br />

variable stimuli.<br />

Substituting for 8 1 and S2 the values obtained from eqs.<br />

0-4) and(3-5),<br />

== Pr(t)<br />

b n (SL-S6)n<br />

(SCa-bSO)n<br />

_ 2b1 (S1/2-So)n<br />

(Sl/2-a1-b1SO)n<br />

Substituting t for SL and 8 1 / 2 ,<br />

/ n t Sl n<br />

11-[ t-So ] -- 2. b rt [ -" J<br />

b t-a-b$o - I t-a,-p,5o

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