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Erschienen in:
2021 | OriginalPaper | Buchkapitel
7. Probability Proportional to Size Sampling
verfasst von : Raosaheb Latpate, Jayant Kshirsagar, Vinod Kumar Gupta, Girish Chandra
Erschienen in: Advanced Sampling Methods
Verlag: Springer Singapore
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Abstract
In sampling from a finite population, often the value of some auxiliary variable, closely related to the main characteristic of interest, is available for all the units of the population. This normalized value of the auxiliary variable may be taken as a measure of the size of a unit. For example, in agricultural surveys, the area under a crop may be taken as a size measure of farms for estimating the yield of crops. In such situations, sampling the units with probability proportional to size (PPS) measure with replacement or without replacement may be used in place of simple random sampling with replacement or simple random sampling without replacement. Since the units with larger sizes are expected to have a bigger total of Y, it is expected that PPS measure sampling procedures will be more efficient than SRSWOR or SRSWR. Note that sampling units have an unequal probability of selection. In the sequel, we discuss some common unequal probability sampling procedures.