By Joel Michell
This publication declines to take with no consideration the common assumption that latest psychometric approaches offer clinical size. The presently stylish options of size inside psychology -- operationalism and representationalism -- are significantly tested, and the classical view, that dimension is the overview of volume, is defended. inside this framework, it's proven how conjoint dimension can be utilized to check the speculation that variables are quantitative. This subject is constructed intimately utilizing generic mental examples, akin to Thurstone's legislation of comparative judgment, multidimensional scaling, and Coombs' concept of unfolding.
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Extra resources for An Introduction To the Logic of Psychological Measurement
23 24 2. THE THEORY OF MEASUREMENT IN PSYCHOLOGY Representationalism, as a theory of measurement, is motivated by a quite different concern. It is motivated by the belief that numbers are not part of the furniture of the universe. Its aim is to explain how, given this premise, numbers find their way into the practice of measurement. Whatever the philosophical motivations for this view about numbers (and the motives are many and varied), it is mistaken. There is no place in science for entities thought to be outside of space and time or for “convenient” fictions.
How then can the representational theory explain the measurement of density? In practice density is measured via its functional relationship to other variables, mass and volume, using the fact that, density = mass/volume. So the measure ment of density is based on the prior measurement of mass and volume, and this kind of dependence characterizes what Campbell called derived measurement. He thought that derived measurement scales emerged through the discovery of constants in numerical relationships between extensive (or fundamentally measurable) variables.
Because scale 3 is related to both scales 1 and 2 by an increasing monotonic transformation, and because scale 3 does not represent all of the available empiri cal information in the manner of a ratio scale, it follows that in ratio scale measurement the class of admissible scale transformations must be narrower than it is in the case of ordinal scales. In fact, as is obvious, scale 1 is simply scale 2 multiplied by 4. This illustrates the fact that if either scale is multiplied by a positive constant, then the transformed scale preserves the homomorphism.