A modified approach to small area estimation. 1979

S B Cohen

The ever-growing need for good estimates of the health, social, political, and economic parameters of local areas has served as the motivating force for new developments in methodology. Due to the constraints of sample size, design, and cost, accessible data from large areas for criterion variables of interest is often used jointly with local data on symptomatic variables. Furthermore, several procedures have derived local area estimators by combining symptomatic information and sample data into a multiple regression format. In those situations where assumptions are too strict or unrealistic, as when a nonlinear model is more appropriate, the merits of a more flexible approach are obvious. Our research focuses upon a further investigation of an alternative strategy for which the most limiting assumption is the availability of good symptomatic information. A more formal representation of the model is developed within the framework of a poststratification scheme. The methodology involves ratio estimation of the respective stratum means via indicator variables which serve the purpose of classification. To determine the accuracy of the proposed small area estimator and allow for comparisons of precision with respect to other strategies, we express the relationship between criterion and symptomatic variables by relevant continuous multivariate distributions. Specifically, comparisons are made with the results obtained using a regression estimator which is applicable to the same general setting. The theoretical framework considers multivariate stratification, where boundary determination is achieved by application of practical methods which use minimum variance stratification as a criterion.

UI MeSH Term Description Entries
D008962 Models, Theoretical Theoretical representations that simulate the behavior or activity of systems, processes, or phenomena. They include the use of mathematical equations, computers, and other electronic equipment. Experimental Model,Experimental Models,Mathematical Model,Model, Experimental,Models (Theoretical),Models, Experimental,Models, Theoretic,Theoretical Study,Mathematical Models,Model (Theoretical),Model, Mathematical,Model, Theoretical,Models, Mathematical,Studies, Theoretical,Study, Theoretical,Theoretical Model,Theoretical Models,Theoretical Studies
D003710 Demography Statistical interpretation and description of a population with reference to distribution, composition, or structure. Demographer,Demographic,Demographic and Health Survey,Population Distribution,Accounting, Demographic,Analyses, Demographic,Analyses, Multiregional,Analysis, Period,Brass Technic,Brass Technique,Demographers,Demographic Accounting,Demographic Analysis,Demographic Factor,Demographic Factors,Demographic Impact,Demographic Impacts,Demographic Survey,Demographic Surveys,Demographic and Health Surveys,Demographics,Demography, Historical,Demography, Prehistoric,Factor, Demographic,Factors, Demographic,Family Reconstitution,Historical Demography,Impact, Demographic,Impacts, Demographic,Multiregional Analysis,Period Analysis,Population Spatial Distribution,Prehistoric Demography,Reverse Survival Method,Stable Population Method,Survey, Demographic,Surveys, Demographic,Analyses, Period,Analysis, Demographic,Analysis, Multiregional,Demographic Analyses,Demographies, Historical,Demographies, Prehistoric,Distribution, Population,Distribution, Population Spatial,Distributions, Population,Distributions, Population Spatial,Family Reconstitutions,Historical Demographies,Method, Reverse Survival,Method, Stable Population,Methods, Reverse Survival,Methods, Stable Population,Multiregional Analyses,Period Analyses,Population Distributions,Population Methods, Stable,Population Spatial Distributions,Prehistoric Demographies,Reconstitution, Family,Reconstitutions, Family,Reverse Survival Methods,Spatial Distribution, Population,Spatial Distributions, Population,Stable Population Methods,Technic, Brass,Technique, Brass
D005163 Factor Analysis, Statistical A set of statistical methods for analyzing the correlations among several variables in order to estimate the number of fundamental dimensions that underlie the observed data and to describe and measure those dimensions. It is used frequently in the development of scoring systems for rating scales and questionnaires. Analysis, Factor,Analysis, Statistical Factor,Factor Analysis,Statistical Factor Analysis,Analyses, Factor,Analyses, Statistical Factor,Factor Analyses,Factor Analyses, Statistical,Statistical Factor Analyses
D006306 Health Surveys A systematic collection of factual data pertaining to health and disease in a human population within a given geographic area. Abortion Surveys,Abortion Survey,Health Survey,Survey, Abortion,Survey, Health,Surveys, Abortion,Surveys, Health
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D013223 Statistics as Topic Works about the science and art of collecting, summarizing, and analyzing data that are subject to random variation. Area Analysis,Estimation Technics,Estimation Techniques,Indirect Estimation Technics,Indirect Estimation Techniques,Multiple Classification Analysis,Service Statistics,Statistical Study,Statistics, Service,Tables and Charts as Topic,Analyses, Area,Analyses, Multiple Classification,Area Analyses,Classification Analyses, Multiple,Classification Analysis, Multiple,Estimation Technic, Indirect,Estimation Technics, Indirect,Estimation Technique,Estimation Technique, Indirect,Estimation Techniques, Indirect,Indirect Estimation Technic,Indirect Estimation Technique,Multiple Classification Analyses,Statistical Studies,Studies, Statistical,Study, Statistical,Technic, Indirect Estimation,Technics, Estimation,Technics, Indirect Estimation,Technique, Estimation,Technique, Indirect Estimation,Techniques, Estimation,Techniques, Indirect Estimation
D014481 United States A country in NORTH AMERICA between CANADA and MEXICO.
D019966 Substance-Related Disorders Disorders related to substance use or abuse. Chemical Dependence,Drug Abuse,Drug Addiction,Drug Dependence,Drug Habituation,Drug Use Disorder,Drug Use Disorders,Organic Mental Disorders, Substance-Induced,Substance Abuse,Substance Dependence,Substance Related Disorder,Substance Use,Substance Use Disorder,Substance Use Disorders,Prescription Drug Abuse,Substance Addiction,Abuse, Drug,Abuse, Prescription Drug,Abuse, Substance,Addiction, Drug,Addiction, Substance,Chemical Dependences,Dependence, Chemical,Dependence, Drug,Dependence, Substance,Dependences, Chemical,Disorder, Drug Use,Disorder, Substance Related,Disorder, Substance Use,Disorders, Substance Related,Drug Abuse, Prescription,Habituation, Drug,Organic Mental Disorders, Substance Induced,Related Disorder, Substance,Related Disorders, Substance,Substance Abuses,Substance Uses,Use, Substance

Related Publications

S B Cohen
February 1979, NIDA research monograph,
S B Cohen
April 1991, The Town planning review,
S B Cohen
January 1982, Journal of research of the National Bureau of Standards (1977),
S B Cohen
August 1992, American journal of public health,
S B Cohen
March 2016, Biometrical journal. Biometrische Zeitschrift,
S B Cohen
February 1979, NIDA research monograph,
Copied contents to your clipboard!