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Abstract
In this paper we evaluate the performance of step-wise group screening designs in which group-factors contain an equal number of factors in the initial step. A usual assumption in group screening designs is that the directions of possible effects are known a-priori. In practice, however, this assumption is unreasonable. We shall examine step-wise group screening designs without errors in observations when this assumption is relaxed. We shall consider cancellations of effects within group-factors. The performance of step-wise group-screening designs shall then be compared with the performance of multistage group screening designs.
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References
- LI, C.H. 1962. A Sequential method for screening experimental variables. Jour. Amer Statist. Assoc., 57: 455-477.
- MANENE, M.M. 1997. On two-type step-wise group screening designs. Proceedings of the Fifth Scientific Conference of the East, Central and Southern Africa Network of I.B.S., pp. 57-62
- MANENE, M.M.; ROTICH, A.M. and SIMWA R.O. 2002. On Multi-type step-wise group screening designs. Bulletin of the Allahabad Mathematical Society, 17: 59-78.
- MAURO, C.A. and SMITH, D.E. 1982. The performance of two-stage group screening in factor screening experiments. Technom., 24: 325-330.
- ODHIAMBO, J.W. 1986. The performance of multistage group screening designs. Commun. Statist. Theor. Meth., 15 (8): 2467-2481.
- ODHIAMBO J.W. and MANENE M.M. 1987. Step-wise group screening designs with errors in Observations. Commun. Statist. Theor. Meth. 16(10): 3095-3115.
- PATEL, M.S. 1962. Group screening with more than two stages. Technom, 4: 209-217.
- PATEL, M.S. and MANENE, M.M. 1987. Step-wise group screening with equal prior probabilities and no errors in observations. Commun. Statist. Simula. and Computa, 16(3): 817-833.
- STERRET, A. 1957. On the detection of defective members of large populations. Annals of Math. Statist., 28: 1033-1036.
- WATSON, G.S. 1961. A study of the group screening method. Technom, 3: 371-388.
References
LI, C.H. 1962. A Sequential method for screening experimental variables. Jour. Amer Statist. Assoc., 57: 455-477.
MANENE, M.M. 1997. On two-type step-wise group screening designs. Proceedings of the Fifth Scientific Conference of the East, Central and Southern Africa Network of I.B.S., pp. 57-62
MANENE, M.M.; ROTICH, A.M. and SIMWA R.O. 2002. On Multi-type step-wise group screening designs. Bulletin of the Allahabad Mathematical Society, 17: 59-78.
MAURO, C.A. and SMITH, D.E. 1982. The performance of two-stage group screening in factor screening experiments. Technom., 24: 325-330.
ODHIAMBO, J.W. 1986. The performance of multistage group screening designs. Commun. Statist. Theor. Meth., 15 (8): 2467-2481.
ODHIAMBO J.W. and MANENE M.M. 1987. Step-wise group screening designs with errors in Observations. Commun. Statist. Theor. Meth. 16(10): 3095-3115.
PATEL, M.S. 1962. Group screening with more than two stages. Technom, 4: 209-217.
PATEL, M.S. and MANENE, M.M. 1987. Step-wise group screening with equal prior probabilities and no errors in observations. Commun. Statist. Simula. and Computa, 16(3): 817-833.
STERRET, A. 1957. On the detection of defective members of large populations. Annals of Math. Statist., 28: 1033-1036.
WATSON, G.S. 1961. A study of the group screening method. Technom, 3: 371-388.