A Simple Algorithm for Factorial Experiments in $\rho^N$

Abstract

Factorial designs with two-level factors represent the smallest factorial experiments. The system of notation and confounding and fractional factorial schemes developed for the $2^N$system are found in standard textbooks of experimental designs. Just as in the $2^N$ system, the general confounding and fractional factorial schemes are possible in $3^N,5^N$, .... , and $\rho^N$ where $\rho$ is a prime number. Hence, we have the $\rho^N$ system. In this article, the author proposes a new algorithm for constructing fractional factorial plans in the $\rho^N$ system.

Keywords

File

Download PDF

References

1. Design of Experiments, A Realistic Approach Anderson, V. L.;McLean, R. A.
2. Sankhya v.8 Mathematical Theory of the Symmetrical Factorial Designs Bose, R. C.
3. Sankhya v.5 On the Problem of Confounding in the General Symmetric Factorial Designs Bose, R. C.;Kishen, K.
4. Design and Analysis of Experiments Des, M. N.;Giri, N. C.
5. Design and Analysis of Industrial Experiments Davies, O. L.(ed.)
6. Annals of Eugenics v.12 The Fractional Replication of Factorial Arrangements Finney, D. J.
7. Design of Experiments Fisher, R. A.
8. Lectures on Experimental Designs Giesbrecht, F. G.
9. Experiments: Design and Analysis John, J. A.;Quenouille, M. H.
10. The Design and Analysis of Experiments Kempthorne, O.
11. Constructions and Combinatorial Problems in Design of Experiments Raghavarao, D.
12. SAS/QC Software(Version 6.12) SAS Institute Inc.
13. Galois Theory Stewart, I.
14. Combinatorics of Experimental Design Street, A. P.;Street, D. J.
15. Journal of Agricultural Science v.26 A New Method of Arranging Variety Trials Involving A Large Number of Varieties Yates, F.
16. The Design and Analysis of Factorial Experiments Yates, F.