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Two-Step Calibrated Designed Weighted Estimators of Finite Population Variance for a Mailed Survey Design Characterized by Non-response
Estimadores ponderados diseñados y calibrados en dos pasos de la varianza de la población finita para un diseño de encuesta enviada por correo caracterizado por la falta de respuesta
DOI:
https://doi.org/10.15446/rce.v47n2.112265Keywords:
Variance Estimator, Calibrated estimator, Auxiliary information, Mail survey, Two-step calibration (en)Estimador de varianza, Estimador calibrado, Información auxiliar, Encuesta enviada por correo, Calibración en dos pasos. (es)
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In this paper, a new class of variance estimators based on a two-step designed weights technique in the presence of non-response is proposed. The proposed estimator is designed to be robust against extreme values or outliers. In the first step, the calibration weights of the new class of estimators are set proportional to the design weights of the existing finite population variance estimator for a mailed survey design characterized by the presence of non-response. In the second step, the constants of proportionality are determined based on different objectives of the investigator such as bias reduction or minimum mean squared error. Many estimators available in the literature can be shown to be special cases of the proposed two-step calibrated estimator. The properties of the proposed estimators are studied theoretically and numerically. Empirical studies were conducted using ten simulated data to illustrate the performance of proposed estimators over existing ones. The results of the numerical comparison depicted the superiority of two members of the proposed estimator in all cases of data considered.
En este artículo se propone una nueva clase de estimadores de varianza basados en una técnica de ponderaciones diseñadas en dos pasos en presencia de falta de respuesta. El estimador propuesto está diseñado para ser robusto frente a valores extremos o valores atípicos. En el primer paso, las ponderaciones de calibración de la nueva clase de estimadores se establecen proporcionales a las ponderaciones de diseño del estimador de varianza de población finita existente para un diseño de encuesta enviada por correo caracterizado por la presencia de falta de respuesta. En el segundo paso, las constantes de proporcionalidad se determinan en función de diferentes objetivos del investigador, como la reducción del sesgo o el error cuadrático medio mínimo. Se puede demostrar que muchos estimadores disponibles en la literatura son casos especiales del estimador calibrado de dos pasos propuesto. Se estudian teórica y numéricamente las propiedades de los estimadores propuestos. Se realizaron estudios empíricos utilizando diez datos simulados para ilustrar el desempeño de los estimadores propuestos sobre los existentes. Los resultados de la comparación numérica mostraron la superioridad de dos miembros del estimador propuesto en todos los casos de datos considerados.
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