Skip to main content
Top
Published in: BMC Immunology 1/2012

Open Access 01-12-2012 | Methodology article

Quantile regression for the statistical analysis of immunological data with many non-detects

Authors: Paul HC Eilers, Esther Röder, Huub FJ Savelkoul, Roy Gerth van Wijk

Published in: BMC Immunology | Issue 1/2012

Login to get access

Abstract

Background

Immunological parameters are hard to measure. A well-known problem is the occurrence of values below the detection limit, the non-detects. Non-detects are a nuisance, because classical statistical analyses, like ANOVA and regression, cannot be applied. The more advanced statistical techniques currently available for the analysis of datasets with non-detects can only be used if a small percentage of the data are non-detects.

Methods and results

Quantile regression, a generalization of percentiles to regression models, models the median or higher percentiles and tolerates very high numbers of non-detects. We present a non-technical introduction and illustrate it with an implementation to real data from a clinical trial. We show that by using quantile regression, groups can be compared and that meaningful linear trends can be computed, even if more than half of the data consists of non-detects.

Conclusion

Quantile regression is a valuable addition to the statistical methods that can be used for the analysis of immunological datasets with non-detects.
Appendix
Available only for authorised users
Literature
1.
go back to reference Uh H-W, Hartgers FC, Yazdanbakhsh M, Houwing-Duistermaat JJ: Evaluation of regression methods when immunological measurements are constrained by detection limits. BMC Immunol. 2008, 9: 59-10.1186/1471-2172-9-59.PubMedPubMedCentralCrossRef Uh H-W, Hartgers FC, Yazdanbakhsh M, Houwing-Duistermaat JJ: Evaluation of regression methods when immunological measurements are constrained by detection limits. BMC Immunol. 2008, 9: 59-10.1186/1471-2172-9-59.PubMedPubMedCentralCrossRef
2.
go back to reference Helsel DL: Nondetects And Data Analysis: Statistics for censored environmental data. 2005, John Wily and Sons, New York Helsel DL: Nondetects And Data Analysis: Statistics for censored environmental data. 2005, John Wily and Sons, New York
3.
go back to reference Helsel D: Much ado about next to nothing: incorporating nondetects in science. Ann Occup Hyg. 2010, 54: 257-262. 10.1093/annhyg/mep092.PubMedCrossRef Helsel D: Much ado about next to nothing: incorporating nondetects in science. Ann Occup Hyg. 2010, 54: 257-262. 10.1093/annhyg/mep092.PubMedCrossRef
4.
5.
go back to reference Koenker R, Portnoy S: The Gaussian Hare and the Laplacian Tortoise: computability of squared-error vs. absolute-error estimators (with discussion). Statist Sci. 1997, 12: 279-300.CrossRef Koenker R, Portnoy S: The Gaussian Hare and the Laplacian Tortoise: computability of squared-error vs. absolute-error estimators (with discussion). Statist Sci. 1997, 12: 279-300.CrossRef
6.
go back to reference Koenker R: Quantile regression. 2005, Cambridge University Press, CambridgeCrossRef Koenker R: Quantile regression. 2005, Cambridge University Press, CambridgeCrossRef
7.
go back to reference Cade BS, Noon BR: A gentle introduction to quantile regression for ecologists. Front Ecol Environ. 2003, 1: 412-420. 10.1890/1540-9295(2003)001[0412:AGITQR]2.0.CO;2.CrossRef Cade BS, Noon BR: A gentle introduction to quantile regression for ecologists. Front Ecol Environ. 2003, 1: 412-420. 10.1890/1540-9295(2003)001[0412:AGITQR]2.0.CO;2.CrossRef
8.
go back to reference Röder E, Berger MY, Hop WC, Bernsen RM, de Groot H, Gerth van Wijk R: Sublingual immunotherapy with grass pollen is not effective in symptomatic youngsters in primary care. J Allergy Clin Immunol. 2007, 119: 892-898. 10.1016/j.jaci.2006.12.651.PubMedCrossRef Röder E, Berger MY, Hop WC, Bernsen RM, de Groot H, Gerth van Wijk R: Sublingual immunotherapy with grass pollen is not effective in symptomatic youngsters in primary care. J Allergy Clin Immunol. 2007, 119: 892-898. 10.1016/j.jaci.2006.12.651.PubMedCrossRef
9.
go back to reference Jutel M, Akdis CA: Immunological mechanisms of allergen-specific immunotherapy. Allergy. 2011, 66: 725-732. 10.1111/j.1398-9995.2011.02589.x.PubMedCrossRef Jutel M, Akdis CA: Immunological mechanisms of allergen-specific immunotherapy. Allergy. 2011, 66: 725-732. 10.1111/j.1398-9995.2011.02589.x.PubMedCrossRef
Metadata
Title
Quantile regression for the statistical analysis of immunological data with many non-detects
Authors
Paul HC Eilers
Esther Röder
Huub FJ Savelkoul
Roy Gerth van Wijk
Publication date
01-12-2012
Publisher
BioMed Central
Published in
BMC Immunology / Issue 1/2012
Electronic ISSN: 1471-2172
DOI
https://doi.org/10.1186/1471-2172-13-37

Other articles of this Issue 1/2012

BMC Immunology 1/2012 Go to the issue
Live Webinar | 27-06-2024 | 18:00 (CEST)

Keynote webinar | Spotlight on medication adherence

Live: Thursday 27th June 2024, 18:00-19:30 (CEST)

WHO estimates that half of all patients worldwide are non-adherent to their prescribed medication. The consequences of poor adherence can be catastrophic, on both the individual and population level.

Join our expert panel to discover why you need to understand the drivers of non-adherence in your patients, and how you can optimize medication adherence in your clinics to drastically improve patient outcomes.

Prof. Kevin Dolgin
Prof. Florian Limbourg
Prof. Anoop Chauhan
Developed by: Springer Medicine
Obesity Clinical Trial Summary

At a glance: The STEP trials

A round-up of the STEP phase 3 clinical trials evaluating semaglutide for weight loss in people with overweight or obesity.

Developed by: Springer Medicine