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A New Method of Construction of Robust Second Order Slope Rotatable Designs Using Pairwise Balanced Designs

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DOI: 10.4236/ojs.2012.23040    3,964 Downloads   6,716 Views  

ABSTRACT

The following article has been retracted due to the investigation of complaints received against it. Title: A New Method of Construction of Robust Second Order Slope Rotatable Designs Using Pairwise Balanced Designs. Authors: Bejjam Re. Victorbabu, Kottapalli Rajyalakshmi.The paper is a copy of Dr. Rabindra Nath Das’s former article, entitled “Slope rotatability with correlated errors (Vol. 54, pp. 57-70, 2003)” and “Robust second order rotatable designs (Part I)”. The scientific community takes a very strong view on this matter and we treat all unethical behavior such as plagiarism seriously. This paper published in OJSVol.2 No.3, 319-327, 2012, has been removed from this site.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

B. Victorbabu and K. Rajyalakshmi, "A New Method of Construction of Robust Second Order Slope Rotatable Designs Using Pairwise Balanced Designs," Open Journal of Statistics, Vol. 2 No. 3, 2012, pp. 319-327. doi: 10.4236/ojs.2012.23040.

References

[1] G. E. P. Box and J. S. Hunter, “Multifactor Experimental Designs for Exploring Response Surfaces,” The Annals of Mathematical Statistics, Vol. 28, No. 1, 1957, pp. 195- 241. doi:10.1214/aoms/1177707047
[2] M. N. Das and V. L. Narasimham, “Construction of Rotatable Designs through Balanced Incomplete Block Designs,” Annals of Mathematical Statistics, Vol. 33, No. 4, 1962, pp. 1421-1439.
[3] B. N. Tyagi, “On the Construction of Second Order and Third Order Rotatable Designs through Pairwise Balanced Designs and Doubly Balanced Designs,” Calcutta Statistical Association Bulletin, Vol. 13, 1964, pp. 150- 162.
[4] R. N. Panda and R. N. Das, “First Order Rotatable Designs with Correlated Errors,” Calcutta Statistical Association Bulletin, Vol. 44, 1994, 83-101.
[5] R. N. Das, “Robust Second Order Rotatable Designs. Part- I RSORD,” Calcutta Statistical Association Bulletin, Vol. 47, 1997, pp. 199-214.
[6] R. N. Das, “Robust Second Order Rotatable Designs. Part- II RSORD,” Calcutta Statistical Association Bulletin, Vol. 49, 1999, pp. 65-76.
[7] K. Rajyalakshmi and B. Re. Victorbabu, “Robust Second Order Rotatable Central Composite Designs,” JP Journal of Fundamental and Applied Statistics, Vol. 1, No. 2, 2011, pp. 85-102.
[8] B. Re. Victorbabu and K. Rajyalakshmi, “A New Method of Construction of Robust Second Order Rotatable Designs Using Balanced Incomplete Block Designs,” Open Journal of Statistics, Vol. 2, No. 1, 2012, pp. 39-47.
[9] S. H. Park, “A Class of Multifactor Designs for Estimating the Slope of Response Surfaces,” Technometrics, Vol. 29, No. 4, 1987, pp. 449-453.
[10] V. N. Murty and W. J. Studden, “Optimal Designs for Estimating the Slope of a Polynomial Regression,” Journal of the American Statistical Association, Vol. 67, No. 340, 1972, pp. 869-873.
[11] R. J. Hader and S. H. Park, “Slope-Rotatable Central Composite Designs,” Technometrics, Vol. 20, No. 4, 1978, pp. 413-417.
[12] B. Re. Victorbabu and V. L. Narasimham, “Construction of Second Order Slope Rotatable Designs through Balanced Incomplete Block Designs,” Communications in Statistics—Theory and Methods, Vol. 20, No. 8, 1991, pp. 2467-2478. doi:10.1080/03610929108830644
[13] B. Re. Victorbabu and V. L. Narasimham, “Construction of Second Order Slope Rotatable Designs Using Pairwise Balanced Designs,” Journal of the Indian Society of Agricultural Statistics, Vol. 45, No. 2, 1993, pp. 200-205.
[14] R. N. Das, “Slope Rotatability with Correlated Errors,” Calcutta Statistical Association Bulletin, Vol. 54, 2003, pp. 57-70.
[15] B. Re. Victorbabu and K. Rajyalakshmi, “Robust Slope Rotatable Central Composite Designs,” Paper Submitted for the Possible Publication, 2012.
[16] B. Re. Victorbabu and K. Rajyalakshmi, “Robust Second Order Slope Rotatable Designs Using Balanced Incomplete Block Designs,” Paper Submitted for the Possible Publication, 2012.
[17] D. Raghavarao, “Constructions and Combinatorial Problems in Design of Experiments,” John Wiley and Sons, New York, 1971.

  
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