Skip to main content

Calibration Weighting When Model and Calibration Variables Can Differ

  • Chapter
  • First Online:
Contributions to Sampling Statistics

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract

Calibration weighting is an easy-to-implement yet powerful tool for reducing the standard errors of many population estimates derived from a sample survey by forcing the weighted sums of certain “calibration” variables to equal their known (or better-estimated) population totals. Although originally developed to reduce standard errors, calibration weighting can also be used to reduce or remove selection biases resulting from unit nonresponse. To this end, nonrespondents are usually assumed to be “missing at random,” that is, the response mechanism is assumed to be a function of calibration variables with either known values in the entire sample or known population totals. It is possible, however, to use calibration-weighting to compensate for unit nonresponse when response is a function of model variables that need not be calibration variables; in fact, some model variables can have values known only for respondents. We will explore some recent findings connected with this methodology.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Andridge, R.R., Little, R.J.A.: Proxy pattern-mixture analysis for survey nonresponse. J. Off. Stat. 27, 153–180 (2011)

    Google Scholar 

  • Bang, H., Robins, J.M.: Doubly robust estimation in missing data and causal inference models. Biometrics 61, 962–972 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  • Chang, T., Kott, P.S.: Using calibration weighting to adjust for nonresponse under a plausible model. Biometrika 95, 557–571 (2008)

    MathSciNet  Google Scholar 

  • D’Arrigo, J., Skinner, C.J.: Linearization variance estimation for generalized raking estimators in the presence of nonresponse. Surv. Methodol. 36, 181–192 (2010)

    Google Scholar 

  • Deville, J.C., Särndal, C.E.: Calibration estimators in survey sampling. J. Am. Stat. Assoc. 87, 376–382 (1992)

    Article  MATH  Google Scholar 

  • Deville, J.C.: Generalized calibration and application to weighting for non-response. In: COMPSTAT: Proceedings in Computational Statistics, 14th Symposium, Utrecht, Physica Verlag, Heidelberg (2000)

    Google Scholar 

  • Folsom, R.E.: Exponential and logistic weight adjustments for sampling and nonresponse error reduction. In: Proceedings of the American Statistical Association, Social Statistics Section, pp. 197–202 (1991)

    Google Scholar 

  • Folsom, R.E., Singh, A.C.: The generalized exponential model for sampling weight calibration for extreme values, nonresponse, and poststratification. In: Proceedings of the American Statistical Association, Survey Research Methods Section, pp. 598–603 (2000)

    Google Scholar 

  • Fuller, W.A.: Sampling Statistics. Wiley, Hoboken (2009)

    Book  MATH  Google Scholar 

  • Fuller, W.A., Loughin, M.M., Baker, H.D.: Regression weighting for the 1987–88 National Food Consumption Survey. Surv. Methodol. 20, 75–85 (1994)

    Google Scholar 

  • Kim, J.K., Park, H.: Imputation using response probability. Can. J. Stat. 34, 1–12 (2006)

    Article  Google Scholar 

  • Kim, J.K., Riddles, M.: Some theory for propensity scoring adjustment estimator. Surv. Methodol. 38, 157–165 (2012)

    Google Scholar 

  • Kim, J.K., Shao, J.: Statistical Methods for Handling Incomplete Data. Chapman and Hall/CRC, London (2013)

    Google Scholar 

  • Kott, P.S.: Using calibration weighting to adjust for non-response and coverage errors. Surv. Methodol. 32, 133–142 (2006)

    Google Scholar 

  • Kott, P.S.: Calibration weighting: combining probability samples and linear prediction models. In: Pfeffermann, D., Rao, C.R. (eds.) Handbook of Statistics: Sample Surveys: Inference and Analysis, vol. 29B. Elsevier, New York (2009)

    Google Scholar 

  • Kott, P.S., Chang, T.C.: Using calibration weighting to adjust for nonignorable unit nonresponse. J. Am. Stat. Assoc. 105, 1265–1275 (2010)

    Article  MathSciNet  Google Scholar 

  • Kott, P.S., Liao, D.: Providing double protection for unit nonresponse with a nonlinear calibration-weighting routine. Surv. Res. Methods 6, 105–111 (2012)

    Google Scholar 

  • Kott, P.S., Liao, D.: One step or two? Calibration weighting from a complete list frame with nonresponse. Surv. Methodol. (2014, forthcoming)

    Google Scholar 

  • Lesage, E., Haziza, D.: On the problem of bias and variance amplification of the instrumental calibration estimator in the presence of unit nonresponse. J. Surv. Stat. Methodol. (2014) (forthcoming)

    Google Scholar 

  • Lundström, S., Särndal, C.E.: Calibration as a standard method for treatment of nonresponse. J. Off. Stat. 15, 305–327 (1999)

    Google Scholar 

  • RTI: SUDAAN Language Manual, Release 11.0. RTI International, Research Triangle Park, NC (2012)

    Google Scholar 

  • Rubin, D.B.: Inference and missing data (with discussion). Biometrika 63, 581–592 (1976)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Phillip S. Kott .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Kott, P.S. (2014). Calibration Weighting When Model and Calibration Variables Can Differ. In: Mecatti, F., Conti, P., Ranalli, M. (eds) Contributions to Sampling Statistics. Contributions to Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-05320-2_1

Download citation

Publish with us

Policies and ethics