Contained in:
Book Chapter

On the use of auxiliary information in spatial sampling

  • Chiara Bocci
  • Emilia Rocco

Technology development has led to a growing availability of low-cost data ready-to-use, frequently derived from large scale observations (i.e. data from pervasive systems like GPS sensors, or remote sensing data from earth observation technologies). Oftentimes, these data can’t directly answer specific questions posed by researchers and data users, or even if they can they are subject to measurement errors or self-selection bias. In both cases it is still necessary to rely, at least partially, on ad-hoc probabilistic surveys. On the other hand, the precision and quality of surveys estimates can be improved by using the data derived from these new sources as auxiliary information in the design phase and/or in the estimation phase. We present a sequential sampling strategy, suitable to investigate a spatially-related phenomenon, which exploits the auxiliary information at design level in order to obtain efficient estimates when the relation between the auxiliary and study variables it is not completely known and/or is not univocally defined for the whole population under study. Using this strategy the final sample is obtained after two (or more) steps: (i) in the first step we collect an initial sample of observations on the target variable, which is used also to investigate the relation between the auxiliary and study variables; (ii) then, this relation is exploited to target and tailor the subsequent sampling step; (iii) additional steps can be included by applying the procedure iteratively. The performance of the suggested strategy is investigated through Monte Carlo experiments by considering several scenarios, which differ in the distributions of the auxiliary and study variables and in their relation.

  • Keywords:
  • Probabilistic survey data,
  • Sampling allocation strategies,
  • Spatial data,
+ Show More

Chiara Bocci

University of Florence, Italy - ORCID: 0000-0001-8189-4445

Emilia Rocco

University of Florence, Italy - ORCID: 0000-0003-4267-0734

  1. Benedetti, R., Piersimoni, F., Postiglione, P. (2017). Spatially balanced sampling: A review and a reappraisal. International Statistical Review. 85(3), pp. 439–454.
  2. Diggle, P.J., Ribeiro, P.J. (2007). Model-based Geostatistics. Springer, New York.
  3. Grafstrom, A., Lundstrom, N.L.P., Schelin, L. (1986). Spatially balanced sampling through the pivotal method. Biometrics, 68, pp. 514–520.
  4. Grafstrom, A., Tillé, Y. (2012). Doubly balanced spatial sampling with spreading and restitution of auxiliary totals. Envirometrics. 24, pp. 5120–131.
  5. Lisic, L., Cruze, N. (2016). Local Pivotal Methods for Large Surveys. In proceedings, ICES V, Geneva Switzerland 2016.
  6. Tillé, Y. (2020). Sampling and estimation from finite populations. Wiley, New York.
  7. Tillé, Y., Wilhelm, M. (2017). Probability sampling designs: Balancing and principles for choice of design. Statistical Science. 32(2), pp. 176–189.
  8. Tobler, W.R. (1970). A Computer Movie Simulating Urban Growth in the Detroit Region. Economic Geography. 46, pp. 234–240.
  9. Wang, J.F., Stein, A., Gao, B.B., Ge, Y. (2012). A review of spatial sampling. Spatial Statistics. 2, pp. 1–14.
PDF
  • Publication Year: 2023
  • Pages: 151-156
  • Content License: CC BY 4.0
  • © 2023 Author(s)

XML
  • Publication Year: 2023
  • Content License: CC BY 4.0
  • © 2023 Author(s)

Chapter Information

Chapter Title

On the use of auxiliary information in spatial sampling

Authors

Chiara Bocci, Emilia Rocco

Language

English

DOI

10.36253/979-12-215-0106-3.27

Peer Reviewed

Publication Year

2023

Copyright Information

© 2023 Author(s)

Content License

CC BY 4.0

Metadata License

CC0 1.0

Bibliographic Information

Book Title

ASA 2022 Data-Driven Decision Making

Book Subtitle

Book of short papers

Editors

Enrico di Bella, Luigi Fabbris, Corrado Lagazio

Peer Reviewed

Publication Year

2023

Copyright Information

© 2023 Author(s)

Content License

CC BY 4.0

Metadata License

CC0 1.0

Publisher Name

Firenze University Press, Genova University Press

DOI

10.36253/979-12-215-0106-3

eISBN (pdf)

979-12-215-0106-3

eISBN (xml)

979-12-215-0107-0

Series Title

Proceedings e report

Series ISSN

2704-601X

Series E-ISSN

2704-5846

87

Fulltext
downloads

200

Views

Export Citation

1,346

Open Access Books

in the Catalogue

2,262

Book Chapters

3,790,127

Fulltext
downloads

4,420

Authors

from 923 Research Institutions

of 65 Nations

65

scientific boards

from 348 Research Institutions

of 43 Nations

1,248

Referees

from 381 Research Institutions

of 38 Nations