Advanced SearchSearch Tips
Evaluation of the Degree of the Orthogonality of 2-level Resolution-V Designs Constructed by Balanced Arrays
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Evaluation of the Degree of the Orthogonality of 2-level Resolution-V Designs Constructed by Balanced Arrays
Kim, Sang-Ik;
  PDF(new window)
Balanced arrays which are generalized orthogonal arrays, introduced by Chakravarti (1956) can be used to construct the fractional factorial designs. Especially for 2-level factorials, balanced arrays with strength 4 are identical to the resolution-V fractional designs. In this paper criteria for evaluation the degree of the orthogonality of balanced arrays of 2-levels with strength 4 are developed and some application methods of the suggested criteria are discussed. As a result, in this paper, we introduce the constructing methods of near orthogonal saturated balanced resolution-V fractional 2-level factorial designs.
Orthogonal arrays;balanced arrays;fractional designs;resolution;
 Cited by
Box, G. E. P. and Hunter, J. S. (1961). The $2^{k-p}$ fractional factorial designs part I. Technometrics, 3, 311-351 crossref(new window)

Chakravarti, I. M. (1956). Fractional replications in asymmetrical factorial designs and partially balanced arrays. Sankhya, 17, 143-164

Daniel, C. (1959). Use of half-normal plots in interpreting factorial 2-level experiments. Technometrics, 1, 311-342 crossref(new window)

Fang, K. T. and Hickernell, F. J. (1995). The uniform design and its applications. Bulletin of the International Statistical Institute 50th Session I, 339-349

Jang, D. H. (2002). Measures for evaluating non-orthogonality of experimental designs. Communications in Statistics Theory and Methods, 31, 249-260 crossref(new window)

Kim, S. I. (1992). Minimal balanced $2^t$ fractional factorial designs of resolution-V and Taguchi method. The Korean Journal of Applied Statistics, 5, 19-28

Ma, C., Fang, K. and Liski, E. (2000). A new approach in constructing orthogonal and nearly orthogonal arrays. Metrika, 50, 255-268 crossref(new window)

Raktoe, B. L., Hedayat, A. and Federer, W. T. (1981). Factorial Designs. John Wiley & Sons, New York

Rao, C. R. (1947). Factorial experiments derivable from combinatorial arrangements of arrays. Journal of the Royal Statistical Society, Ser. B, 9, 128-140

Srivastava, J. N.(1965). Optimal balanced $2^m$ fractional factorial designs. S.N. Roy Memorial Volume, University of North Carolina and Indian Statistical Institute

Srivastava, J. N. and Chopra, D. V.(1971). On the characteristic roots of the information matrix of $2^m$ balanced factorial designs of resolution-V, with Applications. The Annals of Mathematical Statistics, 42, 722-734 crossref(new window)

Taguchi, G. (1986). Introduction to Quality Engineering. Asian Productivity Organization, Tokyo