The intuition behind quantile regression

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This video provides an intuitive idea of the potentially complicated topic of quantile regression.
The video starts by discussing the case of OLS (Ordinary Least Squares) regression as the conditional mean, before discussing the cases of the conditional median (i.e. median regression) and conditional quantiles (quantile regression). The video explains why quantile regression cannot be estimated at the 0% and 100% quantiles, and explains why quantile regression is more robust to outliers on the dependent variable than OLS.
The video shows figures and graphs as well as some code in R software, although viewers can follow the video without any knowledge of R software.
The R code and slides that accompany this video are freely available from my github page:
github.com/alexcoad/Econometrics

Пікірлер: 21

  • @tex120776
    @tex1207765 ай бұрын

    This is unquestionably the best explanation I have seen on the intuition of Quantile regression. Concise, well organised and superbly presented. Bravo!

  • @nedavahedi6381
    @nedavahedi6381Ай бұрын

    Thanks so much! Insightful and right to the point.

  • @Justin-zw1hx
    @Justin-zw1hx Жыл бұрын

    extremely clear explanation, no messy lengthy equations, just concise and simple explanation.

  • @musicalive1782
    @musicalive17822 ай бұрын

    This is probably the best explaination on youtube

  • @Nuomieconomic
    @Nuomieconomic6 ай бұрын

    The most clrar explanation about Quantile Regression, Really looking forward to see more video!

  • @HimankAggarwal-ym4ky
    @HimankAggarwal-ym4ky8 күн бұрын

    Great!!

  • @MrThessalonikiman1
    @MrThessalonikiman12 ай бұрын

    Extraordinary presentation. Could you provide a more technical explanation of QR with respect to the location and scale functions ?

  • @aanarief6896
    @aanarief68962 ай бұрын

    Thank you

  • @erynis1679
    @erynis1679 Жыл бұрын

    thank you so much for this video! this is the best one i've seen so far and it has truly helped me comprehend quantile regressions

  • @josemiguelmuu
    @josemiguelmuu6 ай бұрын

    what a nice explanation! well organized, and extremely clear!

  • @motazabd-alkareem6286
    @motazabd-alkareem628610 ай бұрын

    Many thanks to you sir for this helpful video Very clear explanation Please, keep going.

  • @fksons4161
    @fksons416111 ай бұрын

    Thanks so much for the wonderful explanation

  • @thetwogoats6851
    @thetwogoats68513 ай бұрын

    Great video Dr. Coad.

  • @rubinanaz_pu8876
    @rubinanaz_pu88763 ай бұрын

    Well explained ❤️ highly appreciated 👍🏻😊

  • @20a3c5f9
    @20a3c5f96 ай бұрын

    Thank you, Alex!

  • @mustafizurrahman5699
    @mustafizurrahman56995 ай бұрын

    Awesome mesmerising

  • @michaelbedward
    @michaelbedward3 ай бұрын

    Excellent video, thank you. Just one tiny quibble... at about 7:00 it is stated that with median regression, 50% of observations must be above the line of best fit and 50% below, but that's not quite right is it? E.g. the example graph shows 3 observations above the fitted line and 8 below.

  • @alexcoad1

    @alexcoad1

    3 ай бұрын

    Dear Gerygone, thanks, it is true that with median regression (similar to the case of calculating a median) 50% of observations should be above the line of best fit and 50% below. In the video at about 7:00, the graph is not drawn with 50% of observations above/below the line of best fit, as you pointed out, therefore at about 7:00 the graph's best-fit line does not accurately correspond to the case of median regression.

  • @michaelbedward

    @michaelbedward

    3 ай бұрын

    Many thanks for your reply. That's cleared up some confusion I had about the influence large outliers could have when minimizing absolute residuals.

  • @eshanair7054
    @eshanair70543 ай бұрын

    Hi, thank you so much for this explanation. I just wanted to know if we need to check for stationarity before doing a quantile regression. If yes, if the variables have unit root at level, do we take the first difference and then perform the quantile regression? Thank you for your consideration, hoping to seek some guidance.

  • @alexcoad1

    @alexcoad1

    3 ай бұрын

    Thanks Eshanair, stationarity is a time-series concept, while quantile regression was initially designed for cross-sectional data. Quantile regression can also be applied to panel data (the case of "panel quantile regression"), and time series data, if you are willing to make some extra assumptions. With panel data, if there is a unit root, then taking the first difference could indeed help.

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