0000000001055485
AUTHOR
Mauno Keto
Register data in sample allocations for small-area estimation
The inadequate control of sample sizes in surveys using stratified sampling and area estimation may occur when the overall sample size is small or auxiliary information is insufficiently used. Very small sample sizes are possible for some areas. The proposed allocation based on multi-objective optimization uses a small-area model and estimation method and semi-collected empirical data annually collected empirical data. The assessment of its performance at the area and at the population levels is based on design-based sample simulations. Five previously developed allocations serve as references. The model-based estimator is more accurate than the design-based Horvitz–Thompson estimator and t…
Aluekiintiöinti ositetussa otannassa
Aluetilastoja tuotetaan paljon kyselytutkimuksilla, joissa tietojen keruu nojautuu erilaisiin otanta-asetelmiin. Näissä asetelmissa alue määrittyy yleensä ositteeksi ja aluetunnusluvut ositetason estimaateiksi. Keskeinen kysymys tällaisessa tilanteessa on, miten otos kiintiöityy alueiden kes-ken. Taustalla on siis kiintiöintiongelma, jonka seurauksena joillekin alueille tulee vähän tai ei lainkaan otoshavaintoja. Tästä syystä alue-estimoinnissa on yleistä käyttää suorien otanta-asetelmaperusteisten estimaattien sijasta malliavusteisia tai –perusteisia estimaatteja, jotta kaikil-le alueille saataisiin riittävän tarkat estimaatit halutuista tunnusluvuista. Aluekiintiöinti sinällään on monitah…
On overall sampling plan for small area estimation
The time and budget restrictions in survey sampling can impose limits on the area sample sizes. This may reduce the possibility to obtain area-specific and population parameters estimates with adequate precision. Market research companies and institutes for producing official statistics face frequently this problem. Various models and methods for small area estimation (SAE) have been developed to solve this problem. The sample allocation must support the selected model and method to ensure efficient estimation and must be implemented in the design phase of the survey. The proposed allocation is developed by incorporating auxiliary information, a model, and an estimation method. The estimate…
Optimal sample allocation conditioned on a small area model, estimator, and auxiliary data
We have studied optimal sample allocation, associated with small area estimation, when the objective is to obtain as accurate estimates as possible, for the population and for the subpopulations, called as areas here. It is a question of a two-level optimization problem. The basic premise is composed of planned areas, stratified sampling, and small overall sample size predetermined by restricted time and budget resources. Low sample sizes are common in market surveys. During this thesis, we have developed new allocation methods, based on a small area model, estimator, and auxiliary data. The final method, the three-term Pareto allocation, is based on the three terms of the mean-squared erro…
Sample allocation for efficient model-based small area estimation
We present research results on sample allocations for efficient model-based small area estimation in cases where the areas of interest coincide with the strata. Although model-assisted and model-based estimation methods are common in the production of small area statistics, utilization of the underlying model and estimation method are rarely included in the sample area allocation scheme. Therefore, we have developed a new model-based allocation named g1-allocation. For comparison, one recently developed model-assisted allocation is presented. These two allocations are based on an adjusted measure of homogeneity which is computed using an auxiliary variable and is an approximation of the int…