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This book is concerned with the applications of combinatorics to
survey sampling with special reference to controlled sampling. The
use of combinatorics helps in obtaining sampling designs which
exercise control on sample selection. The book begins with
preliminaries of sample surveys and in the end gives appendices
which describe the concepts of experimental designs for the benefit
of the readers. Some controlled sampling designs generated and the
SAS codes for generation of sampling designs are also given in
these appendices. The main chapters of the book focus on the
applications of binary incomplete block designs, linear programming
and linear integer programming for generation of controlled
sampling designs both for equal and unequal probability sample
selection. The book also covers applications of Hadamard matrices,
mixed orthogonal arrays and proportional frequency plans in
variance estimation from a large scale complex survey data. The
book meets the requirements of the master's level students in
Statistics with interest in theory of sample surveys and design of
experiments while some portions may be found useful for research
scholars and consulting statisticians.
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