On the Construction of Trend Free Run Order of the Two-Level Factorial Design Using BIBD
American Journal of Theoretical and Applied Statistics
Volume 9, Issue 6, November 2020, Pages: 263-266
Received: Sep. 28, 2020;
Accepted: Oct. 19, 2020;
Published: Oct. 30, 2020
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Puja Thapliyal, Department of Statistics, Faculty of Mathematical Sciences, University of Delhi, Delhi, India
Veena Budhraja, Department of Statistics, Sri Venkateswara College, South Campus, University of Delhi, Delhi, India
Randomization is one of the powerful tools to analyze, construct and draw valid and unbiased conclusions about the factorial design. But in some experimental situations, the technique may not perform equally well to draw valid inferences. These situations may arise due to an influence of external variations like the ageing of catalyst, known as Time-trend or Trend, on the response. Thus, instead of randomizing the run order of the factorial design, systematically arranging the order of treatments that is free of variations, neutralizes the adverse effect of Trend. Such systematic designs are known as Trend Free designs. The design gives not only higher importance to the treatments but also ensures the independence of treatments for further analysis. Methods for constructing trend-free run order of two-level designs have been studied and developed by many authors. The proposed run order for 2k and 2k-p design that are linear and quadratic trend free. Systematic run order has been constructed not only to eliminate the effect of the linear and quadratic trend but also to improve design performance in the presence of a trend. This article provides another technique to develop trend free run order of two-level factorial design using Symmetric Balanced Incomplete Block Design.
On the Construction of Trend Free Run Order of the Two-Level Factorial Design Using BIBD, American Journal of Theoretical and Applied Statistics.
Vol. 9, No. 6,
2020, pp. 263-266.
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