Abstract: Invariant, additive, and separable parameters for measures of human, social, and natural capital have repeatedly proven their value and utility globally over the last 50 years. Given growing demand for comparable living capital metrics, metrological organizations should position themselves to provide the needed calibration and traceability services.

1. New Metrological Horizons: Invariant Reference Standards for Instruments Measuring Human, Social, and Natural Capital William P. Fisher, Jr., Ph.D. Sanford, Florida, USA IMEKO Annecy, France September 3-6, 2008

3. Transparency = = = = = = =

4. We progressively score each “Yes” a 1, |-->| 1 1 1 1 1 1 1 1 asking at each unit mark: Is the right end of the third block at this line, or to the right of it?

5. Until the answer is “No”, which we score as “0”: |-->|-->|-->|-->|-->|-->|-->| -->|-->|-->|-->|-->|-->| -->|-->-|->| 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0

6. Mathematical Comparisons

7. Numeric Comparisons

8. Numeric Scores Transformed into Mathematical Measures

9. | | 16 C | | 15 E 25 + 1314 | 12 N | | T | 11 20 + I | 10 | M | 9 | E 15 + 8 | T | 7 | 6 E | 10 + 5 R | | S | | 4 5 + | 3 | | 2 | +-----+-----+-----+-----+-----+-----+-----+-----+-----+- -7.5 -6.0 -4.5 -3.0 -1.5 0.0 1.5 3.0 4.5 6.0 ORDINAL OBSERVATIONS CALIBRATED IN LOGITS

10. Pelton, T., & Bunderson, V. (2003). The recovery of the density scale using a stochastic quasi-realization of additive conjoint measurement. Journal of Applied Measurement, 4 (3), 269-81.

11. The Question of Measurement 55 correlations of 11 calibrations of 8 similar items included on 4 clinical assessments of physical functioning: mean r = 0.93, mode = 0.98 Fisher, W. P., Jr. (1997). Physical disability construct convergence across instruments: Towards a universal metric. Journal of Outcome Measurement , 1 (2), 87-113.

12. “… the existence of quantitative correlations between the various forms of energy imposes upon men of science the duty of bringing all kinds of physical quantity to one common scale of comparison. ” - J. D. Everett, 1881 quoted in Smith & Wise 1989, pp. 684-5

17. Tuning the instruments of human, social, and natural capital