Survey Methodology
An alternative jackknife variance estimator when calibrating weights to adjust for unit nonresponse in a complex survey

by Phillip S. Kott and Dan LiaoNote 1

  • Release date: January 6, 2022
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Abstract

Calibration weighting is a statistically efficient way for handling unit nonresponse. Assuming the response (or output) model justifying the calibration-weight adjustment is correct, it is often possible to measure the variance of estimates in an asymptotically unbiased manner. One approach to variance estimation is to create jackknife replicate weights. Sometimes, however, the conventional method for computing jackknife replicate weights for calibrated analysis weights fails. In that case, an alternative method for computing jackknife replicate weights is usually available. That method is described here and then applied to a simple example.

Key Words: Analysis weight; Linearization-based variance estimator; Delete-1 jackknife variance estimator; Replicate weight; Asymptotically unbiased; Bounded logistic response model.

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How to cite

Kott, P.S., and Liao, D. (2021). An alternative jackknife variance estimator when calibrating weights to adjust for unit nonresponse in a complex survey. Survey Methodology, Statistics Canada, Catalogue No. 12-001-X, Vol. 47, No. 2. Paper available at http://www.statcan.gc.ca/pub/12-001-x/2021002/article/00003-eng.htm.

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ISSN : 1492-0921

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Survey Methodology publishes articles dealing with various aspects of statistical development relevant to a statistical agency, such as design issues in the context of practical constraints, use of different data sources and collection techniques, total survey error, survey evaluation, research in survey methodology, time series analysis, seasonal adjustment, demographic studies, data integration, estimation and data analysis methods, and general survey systems development. The emphasis is placed on the development and evaluation of specific methodologies as applied to data collection or the data themselves. All papers will be refereed. However, the authors retain full responsibility for the contents of their papers and opinions expressed are not necessarily those of the Editorial Board or of Statistics Canada.

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Published by authority of the Minister responsible for Statistics Canada.

© His Majesty the King in Right of Canada as represented by the Minister of Industry, 2022

Use of this publication is governed by the Statistics Canada Open Licence Agreement.

Catalogue No. 12-001-X

Frequency: Semi-annual

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Table of contents

Abstract - Article main page
Section 1. Introduction
Section 2. Calibration weighting
Section 3. Linearization-based variance estimation
Section 4. Jackknife variance estimation
Section 5. The (bounded) logistic response model
Section 6. A simulation example
Section 7. Discussion
Acknowledgements
References

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