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Calibration estimation approach for population ratio under adaptive cluster sampling

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Title Calibration estimation approach for population ratio under adaptive cluster sampling
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Creator Ankur Biswas
Raju Kumar
Deepak Singh
Pradip Basak
 
Subject Calibration
Auxiliary information
Rare
Clustered
Population ratio
 
Description Not Available
Population ratio is one of the most commonly used statistics in official statistics, agriculture and agricultural-related fields. When interest is in the estimation of ratio for rare but highly aggregated geographically distributed population, adaptive cluster sampling (ACS) design is usually used (Dryver and Chang 2007). Under ACS design, neighbouring units are added to the sample if it satisfies a pre-determined criterion. ACS design allow observed values to trigger increased sampling effort during the survey. This intuitively appealing design can have lower variance than conventional designs. In many sampling survey situations, certain auxiliary information is often available and used for increasing the precision of estimator. Calibration approach given by Deville and Särndal (1992) is widely used technique for this purpose. In this article, calibration estimator of population ratio under adaptive sampling has been developed when auxiliary variables are known. The variance and the estimate of variance for these estimators are obtained. The statistical performance of the proposed calibration estimators of population ratio under ACS were evaluated through a simulation
study based on real population data with respect to conventional Horvitz Thomson (HT) estimator of population ratio which do not utilize the auxiliary information. The results of the simulation study show that proposed calibration estimators are more efficient than conventional HT estimator of the population mean under ACS with respect to percentage Relative Root Mean Squared Error (%RRMSE).
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Date 2023-11-14T16:20:33Z
2023-11-14T16:20:33Z
2023-06-30
 
Type Research Paper
 
Identifier Biswas, A., Kumar, R., Singh, D. and Basak, P. (2023). Calibration estimation approach for population ratio under adaptive cluster sampling. Journal of the Indian Society of the Agricultural Statistics, 77(2), 177–183.
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http://krishi.icar.gov.in/jspui/handle/123456789/80863
 
Language English
 
Relation Not Available;
 
Publisher Journal of the Indian Society of Agricultural Statistics