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This monograph provides, for the first time, a most comprehensive
statistical account of composite sampling as an ingenious
environmental sampling method to help accomplish observational
economy in a variety of environmental and ecological studies.
Sampling consists of selection, acquisition, and quantification of
a part of the population. But often what is desirable is not
affordable, and what is affordable is not adequate. How do we deal
with this dilemma? Operationally, composite sampling recognizes the
distinction between selection, acquisition, and quantification. In
certain applications, it is a common experience that the costs of
selection and acquisition are not very high, but the cost of
quantification, or measurement, is substantially high. In such
situations, one may select a sample sufficiently large to satisfy
the requirement of representativeness and precision and then, by
combining several sampling units into composites, reduce the cost
of measurement to an affordable level. Thus composite sampling
offers an approach to deal with the classical dilemma of desirable
versus affordable sample sizes, when conventional statistical
methods fail to resolve the problem. Composite sampling, at least
under idealized conditions, incurs no loss of information for
estimating the population means. But an important limitation to the
method has been the loss of information on individual sample
values, such as the extremely large value. In many of the
situations where individual sample values are of interest or
concern, composite sampling methods can be suitably modified to
retrieve the information on individual sample values that may be
lost due to compositing. In this monograph, we present statistical
solutions to these and other issues that arise in the context of
applications of composite sampling. Content Level Research
Sampling consists of selection, acquisition, and quantification
of a part of the population. While selection and acquisition apply
to physical sampling units of the population, quantification
pertains only to the variable of interest, which is a particular
characteristic of the sampling units. A sampling procedure is
expected to provide a sample that is representative with respect to
some specified criteria. Composite sampling, under idealized
conditions, incurs no loss of information for estimating the
population means. But an important limitation to the method has
been the loss of information on individual sample values, such as,
the extremely large value. In many of the situations where
individual sample values are of interest or concern, composite
sampling methods can be suitably modified to retrieve the
information on individual sample values that may be lost due to
compositing. This book presents statistical solutions to issues
that arise in the context of applications of composite
sampling.
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