Skip to main content

Thank you for visiting You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.


Quantile regression

Quantile regression robustly estimates the typical and extreme values of a response.

Access options

Rent or Buy article

Get time limited or full article access on ReadCube.


All prices are NET prices.

Fig. 1: Distributions, quantile profiles and quantile regression (QR) of birth weight, W, as a function of gestational age, A.
Fig. 2: Precision and accuracy in quantile regression (QR).
Fig. 3: Regression diagnostics that suggest quantile regression (QR) should be used.


  1. 1.

    Altman, N. & Krzywinski, M. Nat. Methods 12, 999–1000 (2015).

    CAS  Article  Google Scholar 

  2. 2.

    Koenker, R. & Bassett, G. Econometrica 46, 33–50 (1978).

    Article  Google Scholar 

  3. 3.

    Greco, L., Luta, G., Krzywinski, M. & Altman, N. Nat. Methods 16, 275–276 (2019).

    CAS  Article  Google Scholar 

  4. 4.

    Reich, B. J., Fuentes, M. & Dunson, D. B. J. Am. Stat. Assoc. 106, 6–20 (2011).

    CAS  Article  Google Scholar 

Download references

Author information



Corresponding author

Correspondence to Martin Krzywinski.

Ethics declarations

Competing interests

The authors declare no competing interests.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Das, K., Krzywinski, M. & Altman, N. Quantile regression. Nat Methods 16, 451–452 (2019).

Download citation

Further reading


Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing