Estimates based on preliminary data from a specific subsample and from respondents not included in the subsample |
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Authors: | Piero Demetrio Falorsi Giorgio Alleva Fabio Bacchini Roberto Iannaccone |
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Institution: | (1) ISTAT, University of Rome “La Spapienza”, Italy |
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Abstract: | Various approaches to obtaining estimates based on preliminary data are outlined. A case is then considered which frequently
arises when selecting a subsample of units, the information for which is collected within a deadline that allows preliminary
estimates to be produced. At the moment when these estimates have to be produced it often occurs that, although the collection
of data on subsample units is still not complete, information is available on a set of units which does not belong to the
sample selected for the production of the preliminary estimates. An estimation method is proposed which allows all the data
available on a given date to be used to the full-and the expression of the expectation and variance are derived. The proposal
is based on two-phase sampling theory and on the hypothesis that the response mechanism is the result of random processes
whose parameters can be suitably estimated. An empirical analysis of the performance of the estimator on the Italian Survey
on building permits concludes the work.
The Sects. 1,2,3,4 and the technical appendixes have been developed by Giorgio Alleva and Piero Demetrio Falorsi; Sect. 5
has been done by Fabio Bacchini and Roberto Iannaccone.
Piero Demetrio Falorsi is chief statisticians at Italian National Institute of Statistics (ISTAT); Giorgio Alleva is Professor
of Statistics at University “La Sapienza” of Rome, Fabio Bacchini and Roberto Iannaccone are researchers at ISTAT. |
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Keywords: | Timeliness preliminary estimates two-phase sampling response probabilities expansion estimators |
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