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A two-state model of simple reaction time

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and density function d(t).<br />

equation;<br />

- 9 -<br />

From these assumptions, Yellott(1971) derived the following<br />

00<br />

pc·Mc - Pe' Me _ .fot.s(tHl- D(t))·dt<br />

Pc - Pe -.fooos ( t )0 (1 - D(t ) ) , dt<br />

(1-8)<br />

The right side <strong>of</strong> eq.(1-8) is not in general invariant under<br />

arbitrary transformations <strong>of</strong> D(x). But, a special version <strong>of</strong> the<br />

deadline <strong>model</strong> yields the identical prediction <strong>of</strong> the fast guess<br />

mode I with a = 1 • That is, the deadI ine modeI can explain the<br />

constancy <strong>of</strong> the left side <strong>of</strong> eq.(1-7), too.<br />

As to the speed-accuracy trade<strong>of</strong>f, the fast guess <strong>model</strong><br />

asserts that the error rate should be constant in order that<br />

the experimenter can controll the subject's strategy. In the fast<br />

guess <strong>model</strong>, the speed-accuracy trade<strong>of</strong>f is controlled by the<br />

probability <strong>of</strong> guessing. Equality <strong>of</strong> the error rates between the<br />

experimental conditions means equality <strong>of</strong> the guessing probabilities<br />

between them. However, according to Ollman(1977)'s adjustable<br />

timing <strong>model</strong>, invariance <strong>of</strong> the error rate does not assure<br />

invariance <strong>of</strong> the strategy.

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