Harvard Psychological Studies, Volume 1 - Containing Sixteen Experimental Investigations from the Harvard Psychological Laboratory. by Various
page 137 of 880 (15%)
page 137 of 880 (15%)
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_S_ for _CT_ 5.0 must be considered correct, or the principle of the
error curve will not apply. The method of computation may be derived in the following way: If we take the origin so that the maximum of the error curve falls on the _Y_ axis, the equation of the curve becomes y = ke^{-[gamma]²x²} and, assuming two points (x_{1} y_{1}) and (x_{2} y_{2}) on the curve, we deduce the formula ____________ ±D \/ log k/y_{1} x_{1} = --------------------------------- ____________ ____________ \/ log k/y_{1} ± \/ log k/y_{2} where D = x_{1} ± x_{2}, and k = value of y when x = 0. x_{1} and x_{2} must, however, not be great, since the condition that the curve with which we are dealing shall approximate the form denoted by the equation is more nearly fulfilled by those portions of the curve lying nearest to the _Y_ axis. Now since for any ordinates, y_{1} and y_{2} which we may select from the table, we know the value of x_{1} ± x_{2}, we can compute the value of x_{1}, which conversely gives us the amount to be added to or subtracted from a given term in the series of _CT_'s to produce |
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