Weighted multiplicative aggregation of concept dimensions is the Cobb-Douglas production function.

Evidence

If one were an economist, one would naturally turn to the Cobb-Douglas production function. Equation (6.3) is quite familiar to economists: it is the classic Cobb-Douglas production function, which has a venerable history going back to the 1920s (Cobb and Douglas 1928). As its name indicates, it models the production of (industrial) goods as a mixture of inputs, where the Di are capital and labor: It is clear that this is the sort of model described above. — Gary Goertz, Social Science Concepts and Measurement, 961

Categorization

• XREF: Bridges concept measurement to production-function economics, where inputs are substitutable up to a point and exponents are output elasticities.
• SEED: Angle: ‘Your index is a production function’ — why social-science composite indices inherit economic assumptions nobody chose.