American Journal of Theoretical and Applied Statistics
Volume 3, Issue 5, September 2014, Pages: 125-129
Received: Jul. 16, 2014;
Accepted: Aug. 14, 2014;
Published: Aug. 30, 2014
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Naqvi Hamad, Ghazi University, Dera Ghazi Khan, Pakistan
A partially neighbor balanced design is a design in which for any fixed treatment, other treatments occur as neighbor λi times. This paper generates infinite series of one-dimensional partially neighbor balanced designs for v = n treatments. The blocks used in these designs are considered circular. Designs given here are partially balanced in terms of nearest neighbors and not necessarily in terms of variance. Binary and non-binary concepts have been used for the construction of designs. Theorem 1 generates binary generalized 2-neighbor designs and theorem 2 generates non-binary generalized 3-neighbor designs. These theorems generate designs for v = n treatments i.e., for odd and even number of treatments simultaneously. This concept remains relatively under-explored in the literature. The objective is to decrease error variance due to neighbor effect and reduce computational cost.
Partially Neighbor Balanced Designs for Circular Blocks, American Journal of Theoretical and Applied Statistics.
Vol. 3, No. 5,
2014, pp. 125-129.
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