1 / 26

What is regression?

What is regression? How tall will Caleb be? Dive into Pearson and Lee's seminal work from 1906 studying fathers' and sons' heights. Learn how to predict sons' height based on fathers' average. Understand the common regression effect on height inheritance and avoid the regression fallacy in data analysis.

rernestine
Download Presentation

What is regression?

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. What is regression?

  2. How tall will Caleb be?

  3. Heights of sons Pearson & Lee, Biometrika 2:357-462, 1906 average = 69.2 in.

  4. Heights of fathers and sons

  5. Heights of fathers and sons

  6. Heights of fathers and sons average = 68.4 in.

  7. Heights of fathers and sons 12

  8. Heights of fathers and sons average = 69.5 in.

  9. Heights of fathers and sons

  10. Heights of fathers and sons

  11. Heights of fathers and sons

  12. Heights of fathers and sons

  13. Heights of fathers and sons

  14. Heights of fathers and sons

  15. Heights of fathers and sons

  16. Heights of fathers and sons

  17. Heights of fathers and sons

  18. Heights of fathers and sons

  19. Heights of fathers and sons

  20. Heights of fathers and sons

  21. Summary • Regression concerns predicting Y from X. • There are two regression lines. • The regression effect: • Tall fathers, on average, have sons who are not so tall. • Short fathers, on ave., have sons who are not so short. • The regression fallacy: assigning some deeper (causal) meaning to the regression effect.

More Related