Weber's law, a concept taught in most Introduction to Psychology courses, states that the ratio of the intensity of a stimulus to the "just noticeable" increment in intensity is constant, that is, the ratio doesn't depend on the intensity of the stimulus. The ratio is called the "Weber fraction," so a concise statement of Weber's law is that "the Weber fraction is constant, regardless of the stimulus intensity." It turns out that Weber's law is not so much a law as it is a rule of thumb, since it is violated in many situations. For instance, for some auditory stimuli, the Weber fraction does depend systematically on the stimulus intensity. The following bivariate data are the experimental data obtained for one listener in an auditory intensity discrimination task. For each of the ten stimulus intensities x(in decibels), the experimental Weber fraction y (in decibels) is shown. For these data, the least-squares regression line is y=2.9921-0.0907x. This line is shown in the scatter plot in Figure 1. Stimulus intensity, x (in decibels) Weber fraction, y (in decibels) 35 -0.65 40 -0.16 45 -1.27 50 -1.11 55 -1.79 60 -2.89 65 -3.19 70 -2.82 75 -4.26 80 -4.1 y 1 0 -1 -2 -3 -4 -5 x 30 40 50 60 70 80 90
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The following bivariate data are the experimental data obtained for one listener in an auditory intensity discrimination task. For each of the ten stimulus intensities x(in decibels), the experimental Weber fraction y (in decibels) is shown. For these data, the least-squares regression line is y=2.9921-0.0907x. This line is shown in the scatter plot in Figure 1.
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