Application of Balanced Incomplete Block Design in ps Sampling Without Replacement

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Addis Abeba university


In this study a procedure for selecting a sample of size n with probability proportional to size without replacement was proposed. This procedure used the combinatorial properties of balanced incomplete block design. An application of this procedure has been illustrated by using secondary data, obtained from National Labour Survey conducted in 2005 by Central Statistical Agency of Ethiopia. Further, the variance of the estimated total unemployed population was compared by using Horvitz-Thompson (1952) and Sen –Yates- Grundy (1953) estimators. The result suggests that, variance due to Sen-Yates –Grundy is better estimator than Horvitz-Thompson . In addition, I would like forward that up to date investigation in the work of application of balanced incomplete block design in pps sampling without replacement at national and/or regional level is important in minimizing cost at large. Researchers who try to examine the application of BIBD in pps sampling without replacement in the further have to take into account those variables other than unemployed population



Balanced Incomplete