By Joel Michell
This publication declines to take with no consideration the common assumption that present psychometric systems offer clinical size. The presently stylish techniques of dimension inside of 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 really is proven how conjoint size can be utilized to check the speculation that variables are quantitative. This subject matter is built intimately utilizing regularly occurring mental examples, comparable to Thurstone's legislations of comparative judgment, multidimensional scaling, and Coombs' concept of unfolding.
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Extra info for An Introduction To the Logic of Psychological Measurement
N. R. Campbell’s view was that extensive systems were the only ones capable of measurement. Russell’s (1903) view differed. He considered measurement to be the numerical representation of magni tude, by which he effectively meant an empirical relational system involving an ordering relation (such as greater than or less than in some sense). This is also the opinion of both Ellis (1966) and Luce (1979). Stevens (1946) advocated an even wider concept. His famous definition includes any instance of the numerical representation of an empirical relational system as measurement, no matter what its structure is.
Thus, for these four objects, scales 1 and 2 represent the empirical relational system involved equally well. O f course, there are infinitely many other sets of numerical assignments that would also do. On the other hand, scale 3 does not represent length order by numerical magnitude, so it will not do. Stevens posed the problem of how all ordinal scales for the same variable are related to each other. Suppes called this the uniqueness problem for ordinal scales. It is the problem of how unique the numerical assignments are in the case of an ordinal scale.
1) reflect their length order. Because the numbers assigned under scale 2 are in exactly the same order, they also reflect the same empirical order relationships. Thus, for these four objects, scales 1 and 2 represent the empirical relational system involved equally well. O f course, there are infinitely many other sets of numerical assignments that would also do. On the other hand, scale 3 does not represent length order by numerical magnitude, so it will not do. Stevens posed the problem of how all ordinal scales for the same variable are related to each other.
An Introduction To the Logic of Psychological Measurement by Joel Michell