Mathematical Methods in Sample Surveys (Series on Multivariate Analysis, Vol 3)

This work is about both sample surveys and the mathematics of sample surveys. The mathematics is both elementary and rigorous. It is suitable for a one-year junior-senior level course for mathematics and statistics majors as well as for students in the social sciences who are not handicapped by a fear of proofs in mathematics. It requires no previous knowledge of statistics, and a sizeable part of the book covers the discrete probability needed for the sampling methods covered. Topics then covered are: simple random sampling; sampling with unequal probabilities; linear relationships; stratified sampling; cluster sampling; and two-stage sampling.