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Calibration Adjustment for Nonresponse in Sample Surveys
Örebro University, Orebro University School of Business, Örebro University, Sweden.ORCID iD: 0000-0002-8693-3279
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

In this thesis, we discuss calibration estimation in the presence of nonresponse with a focus on the linear calibration estimator and the propensity calibration estimator, along with the use of different levels of auxiliary information, that is, sample and population levels. This is a fourpapers- based thesis, two of which discuss estimation in two steps. The two-step-type estimator here suggested is an improved compromise of both the linear calibration and the propensity calibration estimators mentioned above. Assuming that the functional form of the response model is known, it is estimated in the first step using calibration approach. In the second step the linear calibration estimator is constructed replacing the design weights by products of these with the inverse of the estimated response probabilities in the first step. The first step of estimation uses sample level of auxiliary information and we demonstrate that this results in more efficient estimated response probabilities than using population-level as earlier suggested. The variance expression for the two-step estimator is derived and an estimator of this is suggested. Two other papers address the use of auxiliary variables in estimation. One of which introduces the use of principal components theory in the calibration for nonresponse adjustment and suggests a selection of components using a theory of canonical correlation. Principal components are used as a mean to accounting the problem of estimation in presence of large sets of candidate auxiliary variables. In addition to the use of auxiliary variables, the last paper also discusses the use of explicit models representing the true response behavior. Usually simple models such as logistic, probit, linear or log-linear are used for this purpose. However, given a possible complexity on the structure of the true response probability, it may raise a question whether these simple models are effective. We use an example of telephone-based survey data collection process and demonstrate that the logistic model is generally not appropriate.

Place, publisher, year, edition, pages
Örebro: Örebro university , 2016. , 9 p.
Series
Örebro Studies in Statistics, ISSN 1651-8608 ; 8
Keyword [en]
Auxiliary variables, Calibration, Nonresponse, principal com-ponents, regression estimator, response probability, survey sampling, two-step estimator, variance estimator, weighting
National Category
Probability Theory and Statistics
Research subject
Statistics
Identifiers
URN: urn:nbn:se:oru:diva-51966ISBN: 978-91-7529-160-4OAI: oai:DiVA.org:oru-51966DiVA: diva2:957897
Public defence
2016-10-27, Örebro universitet, Musikhögskolan, Hörsalen, Fakultetsgatan 1, Örebro, 14:15 (Swedish)
Opponent
Supervisors
Available from: 2016-09-05 Created: 2016-09-05 Last updated: 2016-11-03Bibliographically approved
List of papers
1. Comparisons Of Some Weighting Methods For Nonresponse Adjustment
Open this publication in new window or tab >>Comparisons Of Some Weighting Methods For Nonresponse Adjustment
2015 (English)In: Lithuaninan Journal of Statistics, ISSN 2029-7262, Vol. 54, no 1, 69-83 p.Article in journal (Refereed) Published
Abstract [en]

Sample and population auxiliary information have been demonstrated to be useful and yield approximately equal resultsin large samples. Several functional forms of weights are suggested in the literature. This paper studies the properties of calibrationestimators when the functional form of response probability is assumed to be known. The focus is on the difference between populationand sample level auxiliary information, the latter being demonstrated to be more appropriate for estimating the coefficients in theresponse probability model. Results also suggest a two-step procedure, using sample information for model coefficient estimation inthe first step and calibration estimation of the study variable total in the second step.

Place, publisher, year, edition, pages
Vilnius: Lietuvos Statistiku Sajunga, 2015
Keyword
calibration, auxiliary variables, response probability, maximum likelihood
National Category
Probability Theory and Statistics
Research subject
Statistics
Identifiers
urn:nbn:se:oru:diva-52792 (URN)
Available from: 2016-10-04 Created: 2016-10-04 Last updated: 2016-10-04Bibliographically approved
2. Variance Estimation in Two-Step Calibration for Nonresponse Adjustment
Open this publication in new window or tab >>Variance Estimation in Two-Step Calibration for Nonresponse Adjustment
(English)Manuscript (preprint) (Other academic)
National Category
Probability Theory and Statistics
Research subject
Statistics
Identifiers
urn:nbn:se:oru:diva-52794 (URN)
Available from: 2016-10-04 Created: 2016-10-04 Last updated: 2016-10-04Bibliographically approved
3. Calibrating on Principal Components in the Presence of Multiple Auxiliary Variables for Nonresponse Adjustment
Open this publication in new window or tab >>Calibrating on Principal Components in the Presence of Multiple Auxiliary Variables for Nonresponse Adjustment
2016 (English)In: South African Statistical Journal, ISSN 0038-271X, E-ISSN 1996-8450Article in journal (Refereed) Accepted
Place, publisher, year, edition, pages
South African Statistical Association, 2016
National Category
Probability Theory and Statistics
Research subject
Statistics
Identifiers
urn:nbn:se:oru:diva-52795 (URN)
Available from: 2016-10-04 Created: 2016-10-04 Last updated: 2016-10-05Bibliographically approved
4. On the Use of Auxiliary Variables and Models in Estimation in Surveys with Nonresponse
Open this publication in new window or tab >>On the Use of Auxiliary Variables and Models in Estimation in Surveys with Nonresponse
(English)Manuscript (preprint) (Other academic)
National Category
Probability Theory and Statistics
Research subject
Statistics
Identifiers
urn:nbn:se:oru:diva-52796 (URN)
Available from: 2016-10-04 Created: 2016-10-04 Last updated: 2016-10-04Bibliographically approved

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Rota, Bernardo João
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