Estimating the proportion of a categorical variable with probit regression

This paper discusses the estimation of a population proportion, using the auxiliary information available, which is incorporated into the estimation procedure by a probit model fit. Three probit regression estimators are considered, using model-based and model-assisted approaches. The theoretical pr...

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Detaylı Bibliyografya
Asıl Yazarlar: Martínez Puertas, Sergio, Arcos Cebrián, Antonio, Rueda García, María del Mar, Martínez Puertas, Helena
Materyal Türü: info:eu-repo/semantics/article
Dil:English
Baskı/Yayın Bilgisi: 2023
Konular:
Online Erişim:http://hdl.handle.net/10835/14878
https://doi.org/10.1177/0049124118761771
Diğer Bilgiler
Özet:This paper discusses the estimation of a population proportion, using the auxiliary information available, which is incorporated into the estimation procedure by a probit model fit. Three probit regression estimators are considered, using model-based and model-assisted approaches. The theoretical properties of the proposed estimators are derived and discussed. Monte Carlo experiments were carried out for simulated data and for real data taken from a database of confirmed dengue cases in Mexico. The probit estimates gives valuable results in comparison to alternative estimators. Finally, the proposed methodology is applied to data obtained from an immigration survey.