Table of Contents
Advances in Statistics
Volume 2014, Article ID 875352, 10 pages
Research Article

A Simplified Approach for Two-Dimensional Optimal Controlled Sampling Designs

Department of Statistics, Kumaun University, S.S.J. Campus, Almora, Uttarakhand 263601, India

Received 9 February 2014; Accepted 8 May 2014; Published 25 May 2014

Academic Editor: Steve Su

Copyright © 2014 Neeraj Tiwari and Akhil Chilwal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Controlled sampling is a unique method of sample selection that minimizes the probability of selecting nondesirable combinations of units. Extending the concept of linear programming with an effective distance measure, we propose a simple method for two-dimensional optimal controlled selection that ensures zero probability to nondesired samples. Alternative estimators for population total and its variance have also been suggested. Some numerical examples have been considered to demonstrate the utility of the proposed procedure in comparison to the existing procedures.