By Joel Michell

ISBN-10: 0805805664

ISBN-13: 9780805805666

This ebook declines to take without any consideration the frequent assumption that latest psychometric strategies offer medical size. The at present trendy techniques of size inside of psychology -- operationalism and representationalism -- are significantly tested, and the classical view, that size is the evaluation 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 subject is constructed intimately utilizing usual mental examples, equivalent 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**

**Example text**

5). , the numbers are in the same order of magnitude). Hence, these two scales do an equally satisfactory job of representing the empiri cal harder than relation. A choice between them would be quite arbitrary. 3. Hypothetical Ratio Scale Measure of W eight of the Eight Objects, a to h Objects Set 1 Set 2 Scale Values a b c d 2 6 10 14 e f 4 8 12 16 9 h 42 2. 4. 25) is greater than the mean of the scale B hardness measures for objects in set 1 (7). So if it is valid to infer from the scale A measures that the mean hardness of objects in set 1 is greater than the mean hardness of objects in set 2, then it is also valid to infer the contradictory conclusion from scale B measures.

It is the problem of how unique the numerical assignments are in the case of an ordinal scale. Or, in other words, how may the numerical assignments on any ordinal scale be changed without changing the convention that empirical order is represented by numerical magnitude? The answer, obviously, is that they can be changed to anything at all providing their order of magnitude is left intact. That is, if nt(x) is the number assigned to x on scale i and n p t) is the number assigned to x on scale j , then the transformation from scale i to scale j leaves the homomorphism intact if and only if, for all pairs of objects x and y, nt{x) ^ nt(y) if and only if npc) ^ nj(y).

What differentiates scale types is the character of the relations within the empirical and numerical relational systems involved in a measurement scale. He recognized that the purpose of measurement was the inference of empirical conclusions from the numerical assignments made. He further recognized that the character of valid inferences from measurements must be relative to scale type, simply because such inferences depend on the character of the empirical information represented. According to the representational theory a measurement scale is an instrument of deduction.

### An Introduction To the Logic of Psychological Measurement by Joel Michell

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