An Introduction To the Logic of Psychological Measurement by Joel Michell

By Joel Michell

This publication declines to take without any consideration the frequent assumption that present psychometric methods offer medical size. The presently trendy strategies of dimension inside of psychology -- operationalism and representationalism -- are seriously tested, and the classical view, that dimension is the evaluate of volume, is defended. inside of this framework, it really is proven how conjoint dimension can be utilized to check the speculation that variables are quantitative. This subject is constructed intimately utilizing favourite mental examples, equivalent to Thurstone's legislation of comparative judgment, multidimensional scaling, and Coombs' conception of unfolding.

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The properties that relations have cannot be taken for granted. They must be discovered by observation and experiment. To continue with the example of the rods, any two rods can be placed side by side in parallel so that the left-hand ends terminate together (as in Fig. 1). Then it can be observed that rod x is at least as long as rod y, ify's right-hand end does not terminate to the right of x's. Then taking the rods pair by pair the properties of this relation can be discovered. That is, it can be seen that the relation is transitive and strongly connected.

2 is a nominal scale for weight. The class of admissible transformations for nominal scales is the class of one to one transformations. That is, if nt (x) is the number assigned to within nominal scale i and n fx) is the number assigned within nominal scale j then the transformation from i to j is one to one if and only if npx) = n,(y) if and only if n p c) — npy), for all pairs of objects and y. 2 Hypothetical Ratio Scale (Scales 1 and 2), Ordinal Scale (Scale 3), and Nom inal Scale (Scale 4) Measures of the W eights of Four Objects, a, b, c, and d N um erical Assignments Objects a b c d Scale 1 4 8 12 16 Scale 2 Scale 3 Scale 4 1 2 3 4 1 4 5 10 9 7 8 4 38 2.

In his laboratory practice, however, the use of the word is tied to the operations he OPERATIONALISM 25 performs with certain measuring instruments. It is these operations, says Bridg­ man, that really show what he means by the word and not any verbal formula he might give. Bridgman goes on: The concept of length involves as much as and nothing more than the set of operations by which length is determined. In general we mean by any concept nothing more than a set o f operations; the concept is synonymous with the corres­ ponding set o f operations.

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