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dc.contributor.authorRueda García, María Del Mar 
dc.contributor.authorPerri, Pier Francesco
dc.contributor.authorCobo Rodríguez, Beatriz
dc.identifier.citationRueda, M.d.M.G., Perri, P.F. & Cobo, B.R. Advances in estimation by the item sum technique using auxiliary information in complex surveys. AStA Adv Stat Anal 102, 455–478 (2018).
dc.description.abstractTo collect sensitive data, survey statisticians have designed many strategies to reduce nonresponse rates and social desirability response bias. In recent years, the item count technique (ICT) has gained considerable popularity and credibility as an alternative mode of indirect questioning survey, and several variants of this technique have been proposed as new needs and challenges arise. The item sum technique (IST), which was introduced by Chaudhuri and Christofides (2013) and Trappmann et al. (2014), is one such variant, used to estimate the mean of a sensitive quantitative variable. In this approach, sampled units are asked to respond to a two-list of items containing a sensitive question related to the study variable and various innocuous, nonsensitive, questions. To the best of our knowledge, very few theoretical and applied papers have addressed the IST. In this article, therefore, we present certain methodological advances as a contribution to appraising the use of the IST in real-world surveys. In particular, we employ a generic sampling design to examine the problem of how to improve the estimates of the sensitive mean when auxiliary information on the population under study is available and is used at the design and estimation stages. A Horvitz-Thompson type estimator and a calibration type estimator are proposed and their efficiency is evaluated by means of an extensive simulation study. Using simulation experiments, we show that estimates obtained by the IST are nearly equivalent to those obtained using “true data” and that in general they outperform the estimates provided by a competitive randomized response method. Moreover, the variance estimation may be considered satisfactory. These results open up new perspectives for academics, researchers and survey practitioners, and could justify the use of the IST as a valid alternative to traditional direct questioning survey modes.es_ES
dc.description.sponsorshipMinisterio de Economía y Competitividad of Spaines_ES
dc.description.sponsorshipMinisterio de Educacion, Cultura y Deportees_ES
dc.description.sponsorshipproject PRIN-SURWEYes_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.subjectauxiliary informationes_ES
dc.subjectcalibration estimatores_ES
dc.subjectdomain estimatores_ES
dc.subjectitem count techniquees_ES
dc.subjectHorvitz-Thompson estimatores_ES
dc.subjectrandomized responsees_ES
dc.subjectsensitive characteristices_ES
dc.titleAdvances in estimation by the item sum technique using auxiliary information in complex surveyses_ES

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Atribución-NoComercial-SinDerivadas 3.0 España
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