Probability with Applications in Engineering, Science, and Technology by Matthew A. Carlton & Jay L. Devore

Author:Matthew A. Carlton & Jay L. Devore
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

If the mother is 5 in. above the mean of 64 in. for mothers, then the daughter’s conditional expected height is just 2 in. above the mean for daughters. In this example, with equal standard deviations for Y and X, the daughter’s conditional expected height is always closer to its mean than the mother’s height is to its mean. One can think of the conditional expectation as falling back toward the mean, and that is why Galton called this regression to the mean.

Regression to the mean occurs in many contexts. For example, let X be a baseball player’s average for the first half of the season and let Y be the average for the second half. Most of the players with a high X (above .300) will not have such a high Y. The same kind of reasoning applies to the “sophomore jinx,” which says that if a player has a very good first season, then the player is unlikely to do as well in the second season.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.