publication . Other literature type . Article . Preprint . 2019

Inter-Class Orthogonal Main Effect Plans for Asymmetrical Experiments

Sunanda Bagchi;
  • Published: 07 Mar 2019
  • Publisher: Springer Science and Business Media LLC
Abstract
In this paper we construct ‘inter-class orthogonal’ main effect plans (MEPs) for asymmetrical experiments. In such a plan, the factors are partitioned into classes so that any two factors from different classes are orthogonal. We have also defined the concept of “partial orthogonality” between a pair of factors. In many of our plans, partial orthogonality has been achieved when (total) orthogonality is not possible due to divisibility or any other restriction. We present a method of obtaining inter-class orthogonal MEPs. Using this method and also a method of ‘cut and paste’ we have obtained several series of inter-class orthogonal MEPs. One of them happens to b...
Subjects
free text keywords: Orthogonality, Contrast (statistics), Mathematics, Main effect, Divisibility rule, Combinatorics, Mathematics - Statistics Theory, 62K10

1. Addleman,S. (1962). Orthogonal main effect plans for asymmetrical factorial experiments.Technometrics 4, p: 21-46.

2. Bagchi, S. (2010). Main effect plans orthogonal through the block factor, technometrics, vol. 52, p : 243-249.

3. Dey, A. (1985). Orthogonal fractional factorial designs, John wiley, New York.

4. Dey, A. and Mukherjee, R. (1999). Fractional factorial plans, Wiley Series in Prob. and Stat.

5. Hedayat, A.S., Sloan, N.J.A. and Stufken,J. (1999). Orthogonal arrays, Theory and Applications, Springer Series in Statistics. [OpenAIRE]

6. Huang, L., Wu, C.F.J. and Yen, C.H. (2002). The idle column method : Design construction, properties and comparisons, Technometrics, vol. 44, p : 347-368.

7. Ma, C. X., Fang, K.T. and Liski, E. (2000). A new approach in constructing orthogonal and nearly orthogonal arrays, Metrika, vol. 50, p : 255-268.

8. Morgan, J.P. and Uddin, N. (1996). Optimal blocked main efect plans with nested rows and columns and related designs, Ann. Stat., vol. 24, p : 1185-1208. [OpenAIRE]

9. Mukherjee, R., Dey, A. and Chatterjee, K. (2001). Optimal main effect plans with non-orthogonal blocking. Biometrika, vol. 89, p : 225-229.

10. Nguyen, (1996). A note on the construction of near-orthogonal arrays with mixed levels and economic run size, Technometrics, vol. 38, p : 279-283.

11. Starks, T.H. (1964). A note on small orthogonal main effect plans for factorial experiments, Technometrics, 8, P : 220-222.

12. Wang, J.C. and Wu.,C.F.J. (1992). Nearly orthogonal arrays with mixed levels and small runs, Technometrics, vol. 34, p : 409-422.

13. Xu, H. (2002). An algorithm for constructing orthogonal and nearly orthogonal arrays with mixed levels and small runs, Technometrics, vol. 44, p : 356-368.

Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue
publication . Other literature type . Article . Preprint . 2019

Inter-Class Orthogonal Main Effect Plans for Asymmetrical Experiments

Sunanda Bagchi;