ON THE GENUINE REPLICATE DESIGN FOR STATISTICAL CALIBRATION

Paolo C. Cozzucoli (Italy)

Received May 23, 2008

References:

[1] G. E. P. Box and N. R. Draper, Empirical Model-building and Response Surfaces, Wiley, New York, 1987. [2] P. J. Brown, Measurement, Regression, and Calibration, Clarendon Press, Oxford, 1993. [3] G. Casella and R. L. Berger, Statistical Inference, 2nd ed., Duxbury, Pacific Grove, 2002. [4] C. Eisenhart, The interpretation of certain regression methods and their use in biological and industrial research, Ann. Math. Statist. 10 (1939), 162-186. [5] E. C. Fieller, The biological standardization of insulin, J. Roy. Statist. Soc. Supple. 7 (1940), 1-64. [6] C. Osborne, Statistical calibration: a review, Inter. Stat. Rev. 59 (1991), 309-336. [7] V. K. Rohatgi, An Introduction to Probability Theory and Mathematical Statistics, Wiley, New York, 1976. [8] G. A. F. Seber, Linear Regression Analysis, Wiley, New York, 1977. [9] R. Sundberg, Multivariate calibration - direct and indirect regression methodology (with discussion), Scand. J. Statist. 26(2) (1999), 161-207.

Keywords and phrases: calibration, confidence interval, Fieller’s theorem, experimental design.