Introductory Theory for Sample Surveys

Excerpts from the Preface: The extensive sampling theory paper was written after the USDA granted the author a sabbatical scholarship at Texas A&M University in 1965 to work under Professor H.O. Hartley in multiple frame theory and J.N.K. Rao in sampling theory. The purpose of this account of theory is to supplement lectures in developing the building blocks of sampling, as are likely to be needed in applied theory. Several contrasting approaches are used in showing how the theory may be developed. The logic of these alternative derivations of the basic theory and formulas is to provide the student with greater exposure to different derivations in estimating parameters is frequently helpful in complex designs since sometime there is an easier approach. The elements of the theory covered herein might be found in either a beginning or advanced sampling theory course, but the goal is to present the topics at an introductory level assuming only some previous exposure to sampling methods for motivational purposes. In addition, some limited background in mathematical expectation and basic probability is helpful.