On the type I optimality of blocked 2-level main effects plans having blocks of different sizes. (English) Zbl 1321.62103
Summary: In this paper, we consider experimental situations in which \(m\) 2-level factors are to be studied using a 2-level main effects plan where \(n\) runs are to be partitioned into \(b\) blocks of different sizes. For these experimental situations, methods of constructing type I optimal designs are given.
References:
| [1] | Bose, M.; Bagchi, S., Optimal main effects plans in blocks of small size, Statist. Probab. Lett., 77, 142-147 (2007) · Zbl 1106.62076 |
| [2] | Das, H.; Dey, A., Optimal main effects plans with nonorthogonal blocks, Sankhyā B, 66, 379-384 (2004) · Zbl 1193.62129 |
| [3] | Jacroux, M., On the \(D\)-optimality of orthogonal and nonorthogonal blocked main effects plans, Statist. Probab. Lett., 81, 116-120 (2011) · Zbl 1206.62136 |
| [4] | Jacroux, M., On the \(D\)-optimality of nonorthogonal blocked main effects plans, Sankhyā B, 73, 62-69 (2011) · Zbl 1230.62098 |
| [5] | Jacroux, M., A note on the optimality of 2-level main effects plans in blocks of odd size, Statist. Probab. Lett., 83, 1163-1166 (2013) · Zbl 1489.62241 |
| [6] | Kiefer, J., Construction and optimality of generalized Youden designs, (Srivastava, J. N., A Survey of Statistical Design and Linear Models (1975), North Holland: North Holland Amsterdam), 333-353 · Zbl 0313.62057 |
| [7] | Mukerjee, R.; Dey, A.; Chatterjee, K., Optimal main effects plans with nonorthogonal blocking, Biometrika, 89, 1, 225-229 (2002) · Zbl 0996.62072 |
| [9] | Shah, K. R.; Sinha, B. K., Lecture Notes in Statistics: Theory of Optimal Designs (1989), Springer-Verlag: Springer-Verlag New York · Zbl 0688.62043 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
