The Generalized Logistic Regression Estimator in a Finite Population Sampling without Replacement Setting with Randomized Response
The randomized response technique (RR), introduced by Warner (1965) was designed to avoid non-answers to questions about sensitive issues and protect the privacy of the interviewee. Some other randomized response techniques have been developed as the Mortons technique which was developed based on a...
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Universidad Nacional de Colombia
2011-12-01
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doaj-bb35f02120ac477cbae85441967a0d032020-11-25T02:18:42ZengUniversidad Nacional de Colombia Revista Colombiana de Estadística0120-17512011-12-01343451460S0120-17512011000300004The Generalized Logistic Regression Estimator in a Finite Population Sampling without Replacement Setting with Randomized ResponseVÍCTOR HUGO SOBERANIS-CRUZ0VÍCTOR MIRANDA-SOBERANIS1Universidad de Quintana RooUniversidad de Quintana RooThe randomized response technique (RR), introduced by Warner (1965) was designed to avoid non-answers to questions about sensitive issues and protect the privacy of the interviewee. Some other randomized response techniques have been developed as the Mortons technique which was developed based on a finite population sampling without replacement. In this paper we are presenting an estimation of the population (total of individuals N) based on Mortons technique assisted for a logistic regression model and considering a specific sensitive characteristic A, with an auxiliary variable associated to the sensitive variable. Analyses were conducted assuming finite population sampling and based on the p-estimators theory through a model assisted estimator. In addition, we propose an estimator of the variance of the estimator, as well as the results of simulations showing that the model assisted estimator of the variance decreases compared with an estimator which depends of the sampling design.http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512011000300004&lng=en&tlng=enModel assisted inferenceRandomized responseSampling designSensitive question |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
VÍCTOR HUGO SOBERANIS-CRUZ VÍCTOR MIRANDA-SOBERANIS |
spellingShingle |
VÍCTOR HUGO SOBERANIS-CRUZ VÍCTOR MIRANDA-SOBERANIS The Generalized Logistic Regression Estimator in a Finite Population Sampling without Replacement Setting with Randomized Response Revista Colombiana de Estadística Model assisted inference Randomized response Sampling design Sensitive question |
author_facet |
VÍCTOR HUGO SOBERANIS-CRUZ VÍCTOR MIRANDA-SOBERANIS |
author_sort |
VÍCTOR HUGO SOBERANIS-CRUZ |
title |
The Generalized Logistic Regression Estimator in a Finite Population Sampling without Replacement Setting with Randomized Response |
title_short |
The Generalized Logistic Regression Estimator in a Finite Population Sampling without Replacement Setting with Randomized Response |
title_full |
The Generalized Logistic Regression Estimator in a Finite Population Sampling without Replacement Setting with Randomized Response |
title_fullStr |
The Generalized Logistic Regression Estimator in a Finite Population Sampling without Replacement Setting with Randomized Response |
title_full_unstemmed |
The Generalized Logistic Regression Estimator in a Finite Population Sampling without Replacement Setting with Randomized Response |
title_sort |
generalized logistic regression estimator in a finite population sampling without replacement setting with randomized response |
publisher |
Universidad Nacional de Colombia |
series |
Revista Colombiana de Estadística |
issn |
0120-1751 |
publishDate |
2011-12-01 |
description |
The randomized response technique (RR), introduced by Warner (1965) was designed to avoid non-answers to questions about sensitive issues and protect the privacy of the interviewee. Some other randomized response techniques have been developed as the Mortons technique which was developed based on a finite population sampling without replacement. In this paper we are presenting an estimation of the population (total of individuals N) based on Mortons technique assisted for a logistic regression model and considering a specific sensitive characteristic A, with an auxiliary variable associated to the sensitive variable. Analyses were conducted assuming finite population sampling and based on the p-estimators theory through a model assisted estimator. In addition, we propose an estimator of the variance of the estimator, as well as the results of simulations showing that the model assisted estimator of the variance decreases compared with an estimator which depends of the sampling design. |
topic |
Model assisted inference Randomized response Sampling design Sensitive question |
url |
http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512011000300004&lng=en&tlng=en |
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