 Optimum Allocation in Stratified Random Sampling with Ratio Estimation as Applied to the Northern Ireland December Agricultural SampleT. McCALLION Journal of the Royal Statistical Society Series C, 1992, vol. 41, issue 1, 39-45 Abstract: The optimum allocation of sample sizes in the Northern Ireland December agricultural sample is considered for three strata based on gross margins where seven variables are to be estimated using the separate ratio method. Nine farm types are then introduced making a total of 27 strata and optimum allocation is also considered for this situation using combined ratio estimates within each gross margin size group. The optimum allocations for acceptable levels of precision of the seven variables, allowing for non‐response in the December sample postal questionnaire, are formulated as mathematical programming problems which are then transformed to make the constraints linear and the objective functions non‐linear. Solutions are found using a routine from the Numerical Algorithms Group library which uses sequential quadratic programming. Substantial reductions in sample sizes required to satisfy precision constraints are obtained by the introduction of the additional stratification variable farm type. Date: 1992 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:bla:jorssc:v:41:y:1992:i:1:p:39-45 Ordering information: This journal article can be ordered from Access Statistics for this article Journal of the Royal Statistical Society Series C is currently edited by R. Chandler and P. W. F. Smith More articles in Journal of the Royal Statistical Society Series C from Royal Statistical Society Contact information at EDIRC. |
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