%0 Journal Article %1 Luce64simultaneousconjoint %A Luce, R. Duncan %A Tukey, John W. %D 1964 %J JOURNAL OF MATHEMATICAL PSYCHOLOGY %K ORDER %P 27 %T Simultaneous conjoint measurement: a new type of fundamental measurement %U http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.334.5018 %X The essential character of what is classically considered, e.g., by N. R. Campbell, the fundamental measurement of extensive quantities is described by an axiomatization for the comparison of effects of (or responses to) arbitrary combinations of “quantities” of a single specified kind. For example, the effect of placing one arbitrary combination of masses on a pan of a beam balance is compared with another arbitrary combination on the other pan. Measurement on a ratio scale follows from such axioms. In this paper, the essential character of simultaneous conjoint measurement is described by an axiomatization for the comparison of effects of (or responses to) pairs formed from two specified kinds of “quantities. ” The axioms apply when, for example, the effect of a pair consisting of one mass and one difference in gravitational potential on a device that responds to momentum is compared with the effect of another such pair. Measurement on interval scales which have a common unit follows from these axioms; usually these scales can be converted in a natural way into ratio scales. A close relation exists between conjoint measurement and the establishment of response measures in a two-way table, or other analysis-of-variance situations, for

@article{Luce64simultaneousconjoint, abstract = {The essential character of what is classically considered, e.g., by N. R. Campbell, the fundamental measurement of extensive quantities is described by an axiomatization for the comparison of effects of (or responses to) arbitrary combinations of “quantities” of a single specified kind. For example, the effect of placing one arbitrary combination of masses on a pan of a beam balance is compared with another arbitrary combination on the other pan. Measurement on a ratio scale follows from such axioms. In this paper, the essential character of simultaneous conjoint measurement is described by an axiomatization for the comparison of effects of (or responses to) pairs formed from two specified kinds of “quantities. ” The axioms apply when, for example, the effect of a pair consisting of one mass and one difference in gravitational potential on a device that responds to momentum is compared with the effect of another such pair. Measurement on interval scales which have a common unit follows from these axioms; usually these scales can be converted in a natural way into ratio scales. A close relation exists between conjoint measurement and the establishment of response measures in a two-way table, or other analysis-of-variance situations, for}, added-at = {2020-08-13T22:42:27.000+0200}, author = {Luce, R. Duncan and Tukey, John W.}, biburl = {https://www.bibsonomy.org/bibtex/28bd04089945ea8f3e31c550dcd83e46d/stumme}, description = {Simultaneous conjoint measurement: a new type of fundamental measurement}, interhash = {c4989a780d25b2194886d1ac4966124a}, intrahash = {8bd04089945ea8f3e31c550dcd83e46d}, journal = {JOURNAL OF MATHEMATICAL PSYCHOLOGY}, keywords = {ORDER}, pages = 27, timestamp = {2020-08-13T22:42:27.000+0200}, title = {Simultaneous conjoint measurement: a new type of fundamental measurement}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.334.5018}, year = 1964 }