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A two-state model of simple reaction time

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- 64 -<br />

Combining eqs.(3-1) and (3-2) and solving for S ,<br />

P<br />

Sp= SO(l-k)+ kS<br />

where k =p1/n.<br />

0-3)<br />

Eq.(3-3) describes a relation between S, a standard stimulus,<br />

and Sp' a variable stimulus. Applying eq.(3-3) to the data, we<br />

can get the value <strong>of</strong> k, the slope <strong>of</strong> eq.(3-3), and SO(1-k),<br />

the intercept when S:::: O.<br />

and<br />

From the values <strong>of</strong> k and SO(1-k), we can get<br />

With these values <strong>of</strong> n and SO' we can specify eq.(3-1)<br />

except the unit parameter, C.<br />

The <strong>model</strong> proposed by Bjorkman and Holmkvist(1960)<br />

incorporated the effect <strong>of</strong> <strong>time</strong>-order. Their <strong>model</strong> is based on<br />

the power law, R:::C(S-SO)n, and the empirical relation (eqs.0-4)<br />

and (3-5)) between the standard stimulus, S, and the variable<br />

stimulus, SL and S1/2' where SL and S1/2 are the adjusted

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