THE BOOK cover
The Unwritten Book is Finally Written!
An in-depth analysis of: The sacrifice bunt, batter/pitcher matchups, the intentional base on balls, optimizing a batting lineup, hot and cold streaks, clutch performance, platooning strategies, and much more.
Read Excerpts & Customer Reviews

Buy The Book from Amazon


SABR101 required reading if you enter this site. Check out the Sabermetric Wiki. And interesting baseball books.
MOST RECENT ARTICLES
MAIL : You ask | We say

Advanced


THE BOOK--Playing The Percentages In Baseball

Filter posts by...

 

Sunday, April 25, 2010

Harmonic Mean v Geometric Mean

By Tangotiger, 08:20 PM

Harmonic Mean is what we are used to using around here.  You take the recipricol of numbers, average them out, and take the recipricol of that.  So, N / (1/x1 + 1/x2 + ... 1/xN).  The Bill James Power Speed Number is one such example (Bill used two terms).

The Geometric Mean, as Peter was kind enough to tell me, is (x1 * x2 * ... *xN) ^ (1/N).  So, if you had two terms, you would multiply your two numbers, and take the square root.

(Note that on B-R.com, if you hover over the Power Speed # text, it’s noted as a geometric mean, but it’s actually a harmonic mean.)

(2) Comments • 2010/04/25 • SabermetricsStatistical_Theory
Page 1 of 1 pages

Latest...

COMMENTS

May 25 19:41
What sabermetrics is NOT

May 25 19:41
Pete Palmer’s new book: Basic Ball

May 25 19:38
“Why Kickstarter works”

May 25 17:32
Largest demonstration in Canadian history?

May 25 16:59
Howard Stern

May 25 15:12
Do pitcher’s reach back for velocity when needed?

May 25 12:51
Chad Curtis

May 25 11:26
Lack of hustle during a game

May 25 10:58
Rooting for laundry

May 25 02:38
NFLPA lawsuit against collusion

THREADS

April 25, 2010
Harmonic Mean v Geometric Mean