An Introduction To the Logic of Psychological Measurement by Joel Michell

By Joel Michell

This booklet declines to take without any consideration the common assumption that latest psychometric approaches offer medical size. The presently stylish recommendations of dimension inside psychology -- operationalism and representationalism -- are severely tested, and the classical view, that dimension is the overview of volume, is defended. inside of this framework, it's proven how conjoint size can be utilized to check the speculation that variables are quantitative. This topic is built intimately utilizing ordinary mental examples, comparable to Thurstone's legislation of comparative judgment, multidimensional scaling, and Coombs' conception of unfolding.

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To psychologists, however, subjectivism was anathema, and few followed him to that destination. Operationalism served quite a different purpose within psychology. It was not applied in psychology with the same rigour as was used by Bridgman in applying it to physics. It was never applied in psychology to those concepts that are able to be directly perceived and so the regress from concepts to operations to concepts and so on adfinitum was avoided. ” The aim of this more dilute operationalism was to reduce all theoretical concepts to observational concepts by defining them in terms of observationally specifiable operations.

Rozeboom thinks that it must. It represents the following extensionally defined relation: R 2 = {(a,e,i), <■a,e,j), (a J J ), (a,g,i), (a,g,j), (b,e,i), (b,e,j), (b,f,i), (b~f,j), \b ,g,i), (b,g ,j), (c,e,i), (c,e,j), , ( c / J ) , (c,g,/>, (ic,g,j)}. It represents this relation because R 2 holds between any ordered set of three people, x, y , and z (from the original set of eight), if and only if n(x) + n(y) = n(z ) (where ( ) , n(y ) , and n(z) are the numbers assigned to , y, and z jc a jc jc THE REPRESENTATIONAL THEORY OF MEASUREMENT 39 respectively).

The representational theory of measurement must then explain why additive representations are preferred in measurement to any other possible kinds of numerical representations. Ellis’ answer is that they are the simplest of possible 34 2. THE THEORY OF MEASUREMENT IN PSYCHOLOGY representations. In the case of concatenation operations like the one just shown, this may be true. Alternative kinds of representations are also possible with other kinds of empirical relations. For example, because ^ is also transitive and connected it could also be used to represent the empirical relation of being at least as long as mentioned in the rods example.

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