Post-Stratification Estimators and Related Techniques.

Abstract

It is the objective of this dissertation to develop techniques in current use in sample survey theory which employ auxiliary information in the form of so-called concommitant variables. The main section of this dissertation is concerned with a situation in which the auxiliary variables are used to classify the sample units into 'post strata'. In this situation the auxiliary variables will be known only after sampling and cannot be used for the construction of strata to be sampled in prescribed quotas. The second aspect is concerned with so-called 'regression estimates' and here the customary large sample theory of linear regression estimators with one concommitant variable is extended to a second order (parabolic) regression. The third aspect is concerned with extending the 'double ratio estimators' to 'multivariate double ratio estimaotrs' and the well known 'linear regression estimators' to 'linear regression estimators with several auxiliary variables'.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1975
Accession Number
ADA018848

Entities

People

  • Herman Otto Hartley
  • Ramana Somayajulu

Organizations

  • Texas A&M University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Collecting Methods
  • Construction
  • Estimators
  • Sampling
  • Stratification
  • Theses

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Regression Analysis.