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  Advances and Applications in Statistics  
 ISSN: 0972-3617
 
 
 

     Advances and Applications in Statistics
    Volume 8, Issue 1, Pages 131 - 151 (February 2008)


ON MODIFIED SECOND ORDER SLOPE ROTATABLE DESIGNS USING INCOMPLETE BLOCK DESIGNS WITH UNEQUAL BLOCK SIZES

B. Re. Victorbabu (India)

Received August 18, 2006; Revised June 18, 2007

References:



[1] G. E. P. Box and J. S. Hunter, Multifactor experimental designs for exploring response surfaces, Ann. Math. Statist. 28 (1957), 195-241.

[2] M. N. Das and V. L. Narasimham, Construction of rotatable designs through balanced incomplete block designs, Ann. Math. Statist. 33 (1962), 1421-1439.

[3] R. J. Hader and S. H. Park, Slope rotatable central composite designs, Technometrics 20 (1978), 413-417.

[4] D. Raghavarao, Symmetrical unequal block arrangements with two unequal block sizes, Ann. Math. Statist. 33 (1962), 620-633.

[5] D. Raghavarao, Construction of second order rotatable designs through incomplete block designs, J. Indian Statist. Assoc. 1 (1963), 221-225.

[6] D. Raghavarao, Constructions and combinatorial problems in design of experiments, John Wiley, New York, 1971.

[7] B. N. Tyagi, On the construction of second order and third order rotatable designs through pairwise balanced designs and doubly balanced designs, Calcutta Statist. Assoc. Bull. 13 (1964), 150-162.

[8] B. Re. Victorbabu, A note on the construction of four and six level second order slope rotatable designs, Statist. Methods 4 (2002a), 11-20.

[9] B. Re. Victorbabu, Construction of second order slope rotatable designs using symmetrical unequal block arrangements with two unequal block sizes, J. Korean Statist. Soc. 31 (2002b), 153-161.

[10] B. Re. Victorbabu, Modified slope rotatable central composite designs, J. Korean Statist. Soc. 34 (2005), 153-160.

[11] B. Re. Victorbabu, Modified second order slope rotatable designs using balanced incomplete block designs, J. Korean Statist. Soc. 35 (2006), 179-192.

[12] B. Re. Victorbabu and V. L. Narasimham, Construction of second order slope rotatable designs through balanced incomplete block designs, Commun. Statist. Theory Methods 20 (1991), 2467-2478.

[13] B. Re. Victorbabu and V. L. Narasimham, Construction of second order slope rotatable designs using pairwise balanced designs, J. Indian Soc. Agricultural Statist. 45 (1993), 200-205.

[14] B. Re. Victorbabu, V. Vasundharadevi and B. Viswanadham, Modified second order response surface designs, rotatable designs using pairwise balanced designs, Adv. & Appl. in Stat. 6(3) (2006), 323-334.

Keywords and phrases: modified second order response surface designs, modified second order slope rotatable designs.

Communicated by Nizam Uddin, Editor: Far East J. Theo. Stat., Published by Pushpa Publishing House.

 


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