RELATIVE EFFICIENCY OF TWO SAMPLE SELECTION PROCEDURES IN PROBABILITY PROPORTIONAL TO SIZE SAMPLING WITHOUT REPLACEMENT
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Date
2017
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Jour. of Mathematical Science
Abstract
In probability proportional to size sampling, units have unequal chances of being selected. It is necessary to consider the
unequal probability nature of units. It is important to compare the relative efficiency of a complex design with that of a
simple design, so as to know if there would be any gain or loss in efficiency. Here, two sample selection procedures in
probability proportional to size sampling without replacement are considered as complex designs. They are: Dawodu and
Adewara, and Basit and Shahbaz procedures. Simple random sampling without replacement is used here, as a simple
design. The complex sample designs are compared with the simple one. Results are compared with simple random
sampling without replacement, in order to get the relative efficiency. It was found that, for this dataset, there was more
gain in efficiency when Dawodu and Adewara procedure was used, than when Basit and Shahbaz procedure was used.
Description
Keywords
Probability Sampling; Probability Proportional To Size; Sampling Without Replacement; Inclusion Probability.