Abstract
The work described is the result of a study extending over the past few years by a chemist and a statistician. Development has come about mainly in answer to problems of determining optimum conditions in chemical investigations, but we believe that the methods will be of value in other fields where experimentation is sequential and the error fairly small.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aitken. A.C. (1935), Proc. Roy. Soc. Edin., 55. 42.
Aitken A. C. (1937). ibid., 57. 269.
Banerjee, K.S. (1949), Ann. Math. Statist., 20. 300.
Barnard, G.A. (1946). J.R. Statist. Soc. Supply 8, 1.
Booth. A.D. (1949), Quart. J. Appl. Math., 1, 237.
Brownlee, K.A., Kelly. B.K., and Loraine. F.K. (1948), Biometrika, 35. 268.
David, F.N., and Neyman, J. (1938), Statist. Res. Mem., 2, 105.
Davies O.L., and Hay. W. (1950), Biometrics, 6, 233.
Dwyer, P.S. (1942). J. Amer. Statist. Assn., 37, 441.
Finney, D.J. (1945). Ann. Eugen. Lond., 12, 291.
Fisher, R.A. (1935), The Design of Experiments. Edinburgh: Oliver and Boyd.
Fisher, R. A. (1942). Ann. Eugen, Lond.. 11. 341.
Fox. L,. Huskey, H.O. and Wilkinson, J.H. (1948). Quart. J. Mech. Appl. Math., 1. 149.
Friedman, M., and Savage, LJ. (1947). Selected Techniques of Statistical Analysis. New York: McGraw-Hill.
Gauss. C.F. (1821), Werke. 4 Göttingen.
Hotelling. H. (1941), Ann. Math. Statists 12, 20.
Hotelling, H. (1944), ibid., 15, 297.
Kempthorne, O. (1947), Biometrika, 34. 255.
Kempthorne, O. (1948). Ann. Math. Statist., 19, 238.
Kendall. M.G. (1946). The Advanced Theory of Statistics, Vol. II. London: Griffin.
Markoff, A.A. (1912), Wahrscheinlichkeitsrechnung. Leipzig: Tembner.
Plackett, R.L., and Burman. J.P. (1946), Biometrika. 33, 305.
Plackett. R.L. (1949). Biometrika, 36. 458.
Plackett, R. L. (1950), ibid.. 37. 149.
Rao, C.R. (1947), J.R. Statit. Soc., Suppl., 9, 128.
Southwell, R.V. (1946). Relaxation Methods in Theoretical Physics. Oxford.
Southwell, R. V. (1940). Relaxation Met herds in Engineering Science. Oxford.
Synge, J.L. (1944), Quart. J. Appl. Math. 1, 237.
Temple. G. (1939), Proc. Roy. Soc.. A. 169. 476.
Yates, F. (1935). J.R. Statist. Soc.. Suppl., 2, 181.
Yates, F. (1937), Imp. Bur. Soil Sci. Tech. Comm.. No. 35.
Wald. A. (1945). Ann. Math. Statist., 16, 117.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Box, G.E.P., Wilson, K.B. (1992). On the Experimental Attainment of Optimum Conditions. In: Kotz, S., Johnson, N.L. (eds) Breakthroughs in Statistics. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4380-9_23
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4380-9_23
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94039-7
Online ISBN: 978-1-4612-4380-9
eBook Packages: Springer Book Archive