By edited by David L. Sills
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Extra info for International encyclopedia of the social sciences volume 14
Example text
Actually, of course, one would not expect (3) to hold exactly for empirical data. Among other things, the obtained proportions on which the deviates are based are only estimates and not population values. A statistical test for the goodness of fit of the model to data has been provided by Mosteller (1951). Graphical and numerical procedures can also be used to aid the investigator in deciding whether the fit is close enough for his purposes even though it does not meet the statistical criterion.
The methods differ from one another in the specific nature of the experimental procedure employed, but they all have the same objective: to obtain a scale in which the differences in numbers assigned to the stimuli directly reflect the corresponding subjective differences between the stimuli. SCALING In equisection, the subject produces a set of stimuli that divides a given range of the attribute into subjectively equal steps. In equal-appearing intervals and category rating he sorts or rates the stimuli into a given set of subjectively equally spaced steps or categories.
The procedures are applicable to any set of stimuli possessing the attribute, and the problem is to scale the set of stimuli as it exists. The stimulus set is typically complex, varying with respect to other subjective dimensions and with respect to a host of correlated physical variables. There is, of course, no single, monotonically related physical correlate. Monotone relations are to be expected only when all but one of the physical correlates are held constant. Complexity of the stimulus set is therefore the chief characteristic distinguishing psychophysical from psychometric scaling problems.
International encyclopedia of the social sciences volume 14 by edited by David L. Sills
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