Vol. 11, Special Issue 2 (2022)

Author(s):
Rajeev Kumar, Sonica Priyadarshini, Pramod Kumar Moury, Vivek Kumar, Satish Kumar Yadav, MD. Asif Khan, Dilip Kumar, Himanshushekhar Chaurasia, Bulbul Ahmed, Prabhat Kumar and RH Chaudhari

Abstract:
Balanced sampling plans excluding adjacent units or BSA (α) plans are useful for sampling from populations in which the nearer units provide similar observations due to natural ordering of the units in time or space. The ordering of units in the population may be circular. For BSA (α) plans, all the first order inclusion probabilities are equal whereas second order inclusion probabilities for pairs of adjacent units at a distance less than or equal to α are zero and constant for all other pairs of non-adjacent units which are at a distance greater than α. An important series of incomplete block designs called polygonal designs that are suitable for obtaining BSA (α) plans. Considering the blocks of polygonal designs as samples and the treatments as units, a BSA (α) plan can be obtained by assigning an equal probability of selection to the blocks. Computer algorithm which is based on linear integer programming approach available for generating efficient binary incomplete block designs. This algorithm has been improved for obtaining polygonal designs for the circular ordered structure of population units. In this study, we obtain new balanced sampling plans excluding adjacent units for one dimensional population with the circular ordering of units.