**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30123

##### On the Optimality of Blocked Main Effects Plans

**Authors:**
Rita SahaRay,
Ganesh Dutta

**Abstract:**

**Keywords:**
Design matrix,
Hadamard matrix,
Kronecker product,
type 1 criteria,
type 2 criteria.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1127509

**References:**

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[3] A. Das, and A. Dey, “Optimal main effect plans with nonorthogonal blocks,” Sankhy¯a, vol. 66(2), 2004, pp. 378-384.

[4] G. Dutta and R. SahaRay, “D- and E- optimal blocked main effects plans with unequal block sizes when n is odd,” Statist. Probab. Lett., vol. 107, 2015, pp. 37-43.

[5] M. Jacroux, C. S. Wang and J. C. Masaro, “On the optimality of chemical balance weighing designs,” J. Statist. Plann. Inference, vol. 8, 1983, pp. 231-240.

[6] M. Jacroux, “A note on the construction of optimal main effects plans in blocks of size two,” Statist. Probab. Lett., vol. 78, 2008, pp. 2366-2370.

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[8] M. Jacroux, “On the D-optimality of nonorthogonal blocked main effects plans,” Sankhy¯a B, vol. 73, 2011, pp. 62-69.

[9] M. Jacroux, “A note on the optimality of 2-level main effects plans in blocks of odd size,” Statist. Probab. Lett., vol. 83, 2013, pp. 1163-1166.

[10] M. Jacroux and K. B. Dichone, “On the E-optimality of blocked main effects plans when n ≡ 3 (mod 4),” Statist. Probab. Lett., vol. 87, 2014, 143-148.

[11] M. Jacroux , and K. B. Dichone, “On the E-optimality of blocked main effects plans when n ≡ 2 (mod 4),” Sankhy¯a B, vol. 77, 2015, 165-174.

[12] R. Mukerjee, A. Dey, and K. Chatterjee, “Optimal main effects plans with non orthogonal blocking,” Biometrika, vol. 89(1), 2002, pp. 225-229.

[13] S. C. Pearce, “Experimenting with blocks of natural size,” Biometrika, vol. 18, 1964, pp. 699-706.

[14] D. Raghavarao, Constructions and Combinatorial Problems in Design of Experiments. John Wiley & Sons, 1971.