IDEAS home Printed from https://ideas.repec.org/a/sae/somere/v42y2013i4p598-607.html
   My bibliography  Save this article

Multiple Imputation of Squared Terms

Author

Listed:
  • Gerko Vink
  • Stef van Buuren

Abstract

We propose a new multiple imputation technique for imputing squares. Current methods yield either unbiased regression estimates or preserve data relations. No method, however, seems to deliver both, which limits researchers in the implementation of regression analysis in the presence of missing data. Besides, current methods only work under a missing completely at random (MCAR) mechanism. Our method for imputing squares uses a polynomial combination. The proposed method yields both unbiased regression estimates, while preserving the quadratic relations in the data for both missing at random and MCAR mechanisms.

Suggested Citation

  • Gerko Vink & Stef van Buuren, 2013. "Multiple Imputation of Squared Terms," Sociological Methods & Research, , vol. 42(4), pages 598-607, November.
    • Handle: RePEc:sae:somere:v:42:y:2013:i:4:p:598-607
    DOI: 10.1177/0049124113502943
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0049124113502943
    Download Restriction: no
    File URL: https://libkey.io/10.1177/0049124113502943?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. van Buuren, Stef & Groothuis-Oudshoorn, Karin, 2011. "mice: Multivariate Imputation by Chained Equations in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 45(i03).
    2. Patrick Royston, 2005. "Multiple imputation of missing values: update," Stata Journal, StataCorp LP, vol. 5(2), pages 188-201, June.
    3. Patrick Royston, 2005. "Multiple imputation of missing values: Update of ice," Stata Journal, StataCorp LP, vol. 5(4), pages 527-536, December.
    4. Little, Roderick J A, 1988. "Missing-Data Adjustments in Large Surveys," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(3), pages 287-296, July.
    5. Patrick Royston, 2005. "MICE for multiple imputation of missing values," United Kingdom Stata Users' Group Meetings 2005 02, Stata Users Group.
    6. Little, Roderick J A, 1988. "Missing-Data Adjustments in Large Surveys: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(3), pages 300-301, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gerko Vink & Laurence E. Frank & Jeroen Pannekoek & Stef Buuren, 2014. "Predictive mean matching imputation of semicontinuous variables," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 68(1), pages 61-90, February.
    2. Simon Grund & Oliver Lüdtke & Alexander Robitzsch, 2023. "Handling Missing Data in Cross-Classified Multilevel Analyses: An Evaluation of Different Multiple Imputation Approaches," Journal of Educational and Behavioral Statistics, , vol. 48(4), pages 454-489, August.
    3. Simon Grund & Oliver Lüdtke & Alexander Robitzsch, 2018. "Multiple Imputation of Missing Data at Level 2: A Comparison of Fully Conditional and Joint Modeling in Multilevel Designs," Journal of Educational and Behavioral Statistics, , vol. 43(3), pages 316-353, June.
    4. Oya Kalaycioglu & Andrew Copas & Michael King & Rumana Z. Omar, 2016. "A comparison of multiple-imputation methods for handling missing data in repeated measurements observational studies," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 179(3), pages 683-706, June.
    5. Lee, Chioun & Ryff, Carol D., 2016. "Early parenthood as a link between childhood disadvantage and adult heart problems: A gender-based approach," Social Science & Medicine, Elsevier, vol. 171(C), pages 58-66.
    6. Denney, Justin T. & Brewer, Mackenzie & Kimbro, Rachel Tolbert, 2020. "Food insecurity in households with young children: A test of contextual congruence," Social Science & Medicine, Elsevier, vol. 263(C).
    7. Watkins, Adam M. & Melde, Chris, 2018. "Gangs, gender, and involvement in crime, victimization, and exposure to violence," Journal of Criminal Justice, Elsevier, vol. 57(C), pages 11-25.
    8. Jason R. D. Rarick & Carly Tubbs Dolan & Wen‐Jui Han & Jun Wen, 2018. "Relations Between Socioeconomic Status, Subjective Social Status, and Health in Shanghai, China," Social Science Quarterly, Southwestern Social Science Association, vol. 99(1), pages 390-405, March.
    9. David W Lawson & Arijeta Makoli & Anna Goodman, 2013. "Sibling Configuration Predicts Individual and Descendant Socioeconomic Success in a Modern Post-Industrial Society," PLOS ONE, Public Library of Science, vol. 8(9), pages 1-9, September.
    10. Youngjoo Cho & Debashis Ghosh, 2021. "Quantile-Based Subgroup Identification for Randomized Clinical Trials," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 13(1), pages 90-128, April.
    11. Brewer, Mackenzie & Kimbro, Rachel Tolbert, 2014. "Neighborhood context and immigrant children's physical activity," Social Science & Medicine, Elsevier, vol. 116(C), pages 1-9.
    12. Lee, RaeHyuck & Brooks-Gunn, Jeanne & Han, Wen-Jui & Waldfogel, Jane & Zhai, Fuhua, 2014. "Is participation in Head Start associated with less maternal spanking for boys and girls?," Children and Youth Services Review, Elsevier, vol. 46(C), pages 55-63.
    13. Lombardi, Caitlin McPherran, 2021. "Family income and mothers’ parenting quality: Within-family associations from infancy to late childhood," Children and Youth Services Review, Elsevier, vol. 120(C).
    14. Minda Tan & Shuiyun Liu, 2023. "A Way of Human Capital Accumulation: Heterogeneous Impact of Shadow Education on Students’ Academic Performance in China," SAGE Open, , vol. 13(4), pages 21582440231, November.
    15. Emma Zang & Anthony R. Bardo, 2019. "Objective and Subjective Socioeconomic Status, Their Discrepancy, and Health: Evidence from East Asia," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 143(2), pages 765-794, June.
    16. Álvaro Choi & María Gil & Mauro Mediavilla & Javier Valbuena, 2016. "Double toil and trouble: grade retention and academic performance," Working Papers 2016/7, Institut d'Economia de Barcelona (IEB).
    17. Shaun R. Seaman & Ian R. White & Andrew J. Copas & Leah Li, 2012. "Combining Multiple Imputation and Inverse-Probability Weighting," Biometrics, The International Biometric Society, vol. 68(1), pages 129-137, March.
    18. Schwartz, Joseph A. & Beaver, Kevin M., 2014. "A biosocial analysis of the sources of missing data in criminological research," Journal of Criminal Justice, Elsevier, vol. 42(6), pages 452-461.
    19. Richard Grieve & John Cairns & Simon G. Thompson, 2010. "Improving costing methods in multicentre economic evaluation: the use of multiple imputation for unit costs," Health Economics, John Wiley & Sons, Ltd., vol. 19(8), pages 939-954, August.
    20. Christian Seiler, 2013. "Nonresponse in Business Tendency Surveys: Theoretical Discourse and Empirical Evidence," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 52.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:somere:v:42:y:2013:i:4:p:598-607. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.