Summary
This paper presents a unified approach for the construction of Second Order Rotatable Designs (SORD) with factors each at four and six levels.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Bose, R. C. and Draper, N. R. (1959). Second order rotatable designs in three dimensions,Ann. Math. Statist.,30, 1097–1112.
Box, G. E. P. and Behnken, D. W. (1960a). Simplex-sum designs: a class of second order rotatable designs derivable from those of first order,Ann. Math. Statist.,31, 835–864.
Box, G. E. P. and Behnken, D. W. (1960b). Some new three level designs for the study of quantitative variables,Technometrics,2, 455–475.
Box, G. E. P. and Hunter, J. S. (1957). Multifactor experimental designs for exploring response surfaces,Ann. Math. Statist.,28, 195–241.
Chakravarti, I. M. (1957). Fractional replication in asymmetrical factorial designs and partially balanced arrays,Sankhya,17, 143–164.
Das, M. N. (1961). Construction of rotatable designs from factorial designs,J. Ind. Soc. Agril. Statist.,13, 169–194.
Das, M. N. and Narasimham, V. L. (1962). Construction of rotatable designs through balanced incomplete block designs,Ann. Math. Statist.,33, 1421–1439.
Dey, A. (1971). On a class of four-level second order rotatable designs,Proc. Ind. Sc. Congress, 58th session, Bangalore, India.
Dey, A. and Das, M. N. (1970). On blocking second order rotatable designs,Calcutta Statist. Assoc. Bull.,19, 75–85.
Draper, N. R. (1960). Second order rotatable designs in four or more dimensions,Ann. Math. Statist.,31, 23–33.
Nigam, A. K. and Dey, A. (1970). Four and six level second order rotatable designs,Calcutta Statist. Assoc. Bull.,19, 155–157.
Saha, G. M. and Gupta, T. K. (1973). Three symbol partially balanced arrays, to appear.
Author information
Authors and Affiliations
Additional information
Institute of Agricultural Research Statistics
About this article
Cite this article
Gupta, T.K., Dey, A. On some new second order rotatable designs. Ann Inst Stat Math 27, 167–175 (1975). https://doi.org/10.1007/BF02504634
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02504634