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A two-state model of simple reaction time

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Most prevailing psychophysical functions are power functions.<br />

But, in Eis1er(1976)'s review <strong>of</strong> 111 studies, the exponents<br />

range from .31 to 1.36. This wide range <strong>of</strong> exponents <strong>of</strong> the<br />

power functions which relate physical stimuli to psychological<br />

scales let the author doubt <strong>of</strong> the validity <strong>of</strong> power functions as<br />

psychophysical functions. Treisman(1964) criticized the power<br />

law from theoretical point <strong>of</strong> view, which was briefly reviewed<br />

in section B <strong>of</strong> this chapter.<br />

Apart from the discussion which <strong>of</strong> the power law or the<br />

logarithmic law is proper one, Allan et. a1(1971) proposed a<br />

constant variance <strong>model</strong>. According to their <strong>model</strong>, perception<br />

<strong>of</strong> <strong>time</strong> is essentially a linear function <strong>of</strong> physical <strong>time</strong>. But,<br />

Getty(1975) generalized Weber's law and his <strong>model</strong> succeeded in<br />

describing his data.<br />

At present, there are <strong>two</strong> types <strong>of</strong> psychophysical functions,<br />

power or log functions, and <strong>two</strong> types <strong>of</strong> variance <strong>model</strong>s,

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