An Introduction to the Logic of Psychological Measurement
This book declines to take for granted the widespread assumption that existing psychometric procedures provide scientific measurement. The currently fashionable concepts of measurement within psychology -- operationalism and representationalism -- are critically examined, and the classical view, that measurement is the assessment of quantity, is defended. Within this framework, it is shown how conjoint measurement can be used to test the hypothesis that variables are quantitative. This theme is developed in detail using familiar psychological examples, such as Thurstone's law of comparative judgment, multidimensional scaling, and Coombs' theory of unfolding.
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What Quantity and Measurement Really Are
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applied Archimedean condition attribute automorphism binary relation Bob Hawke cancellation conditions chapter classical theory concatenation concept conjoint measurement continuous quantity Coombs Dedekind cut defined dissimilarity distance empirical relational system entirely composed entities example fact follows Guttman scale Hence hypothesis interval order kind Krantz length magnitude matrix maximum preference means measurement theory method monotonic multidimensional scaling natural numbers nominal scale noninteractive number assigned numerical relations objects in set operation operationalism order relations ordinal scale pair comparison judgments point of maximum power metric preference orders procedure properties Proposition psychological measurement psychology quantitative variable ratio scale rational numbers real numbers relative representational theory representationalism represented response patterns rods satisfies double cancellation shown in Fig simple order simply single cancellation solvability Stevens stimuli strict partial order strongly connected subjects theory of conjoint theory of measurement Thurstone's theory tion transitive Tversky values weak order weight