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Full-Text Articles in Physical Sciences and Mathematics
Design And Estimation For Split Questionnaire Surveys, James O. Chipperfield, David G. Steel
Design And Estimation For Split Questionnaire Surveys, James O. Chipperfield, David G. Steel
Professor David Steel
When sampling from a finite population to estimate the means or totals of K population characteristics of interest, survey designs typically impose the constraint that information on all K characteristics (or data items) is collected from all units in the sample. Relaxing this constraint means that information on a subset of the K data items may be collected from any given unit in the sample. Such a design, called a split questionnaire design (SQD), has three advantages over the typical design: increased efficiency with which design objectives can be met, by allowing the number of sample units from which information …
Conditional And Unconditional Models In Model-Assisted Estimation Of Finite Population Totals, David Steel, Robert Clark
Conditional And Unconditional Models In Model-Assisted Estimation Of Finite Population Totals, David Steel, Robert Clark
Professor David Steel
The well known Godambe-Joshi lower bound for the anticipated variance of design unbiased estimators of population totals treats the auxiliary variables as constants. We extend the result to models where these variables are random and show that the generalized difference estimator using the expected values conditional on all auxiliary values is optimal. This has several implications including the fact that collecting multiple survey variables does not reduce the lower bound.
Scales, Levels And Processes: Studying Spatial Patterns Of British Census Variables, David Manley, Robin Flowerdew, David Steel
Scales, Levels And Processes: Studying Spatial Patterns Of British Census Variables, David Manley, Robin Flowerdew, David Steel
Professor David Steel
No abstract provided.
Measuring And Analysing Homogeneity Of Geographical Areas For A Categorical Variable, David Steel, Mark Tranmer
Measuring And Analysing Homogeneity Of Geographical Areas For A Categorical Variable, David Steel, Mark Tranmer
Professor David Steel
Many Variables have within group homogeneity (similarity of values for the individual units that comprise the groups). Measures of within group homogeneity are useful for the sample design and statistical analysis of datasets for populations that contain groups, such as individuals in geographical areas. Homogeneity measures can easily be defined for continuous or dichotomous variables. Here we propose a homogeneity measure for a multi-category variable and show how this measure can be calculated without access to individual level data. We apply the measure to data from the UK census and show how this measure can be related to the homogeneity …