Here - Paul Barrett

Measurement Terminology Indirect, Derived Measurement (2 or morefundamental variables). E.g. Within the physicalsciences, indirect measures of say velocity,acceleration, force, work, etc. are composed ofextensive measures (weight, time, length). Theories of MeasurementWithin physics, a similar problem could beperceived with “derived” measures such as“density”. Density is not a physical object withobservable units that can be physicallyconcatenated or manipulated. It is derived fromthe operation of two other physical measureswhich can be manipulated, mass and volume.The operation between these two “extensive”variables is that of division – taking the ratio ofmass to volume yields a magnitude for the variabledensity. For each substance, the ratio of mass tovolume is a constant.MGMT 740 – 853th March 2006 MGMT 740 – 854th March 2006 Theories of Measurement Theories of MeasurementWhat was intriguing to some was how it couldbe proven that the combination of two variablescould produce a third whose values werethemselves ordinal and additively structured inthe manner of a quantitative variable.In 1964, Luce and Tukey published the axiomsof conjoint measurement, the necessary set ofconditions that if met by combining values ofany set of three variables, would provideempirical proof of the additive structure of all threevariables.MGMT 740 – 855th March 2006 MGMT 740 – 856th March 2006