# Mathletics: How Gamblers, Managers, and Sports Enthusiasts Use Mathematics in Baseball, Basketball, and Football

By Wayne Winston | Go to book overview

31
NBA LINEUP ANALYSIS

In chapter 30 we described the methodology for creating Adjusted + /— ratings. These are helpful to teams in making decisions involving players such as trades and salaries. During the season, however, few players are traded and a team's major concern is how to win more games with their current roster. The most important decisions coaches make during the season are which lineups to play when. For example, should a team try to go small against the 2006–7 Suns' “small ball,” or should they go big and push the ball inside?

On average a team plays 300–600 different lineups during the course of a season. Is there any rhyme or reason to coaches' lineup choices? Lineup ratings can help a team win more games: play better lineups more and worse lineups less.

Once we have player ratings it is easy to develop lineup ratings. Suppose we want to rate the Indiana Pacers' lineup of Jermaine O'Neal, Danny Granger, Jamaal Tinsley Troy Murphy, and Mike Dunleavy. Let's call this lineup Pacers 1A During the 2006–7 season this lineup played 326 minutes (more than any other Pacer lineup). They outscored their opponents by 11 points. This means that Pacers 1A played 326/48 = 6.79 games and has a Pure + /— of 11/6.79 = 1.61 points per 48 minutes. Then we look at each minute Pacer 1A was on the court and average the total abilities of the opponents (adjusting, of course, for the league home edge of 3.2 points). We find this lineup played against opposition lineups averaging in ability 1.89 points better than league average. This means that Pacers' 1A should have an Adjusted + /— rating of 1.61 + 1.89 = 3.5 points. In short, this means that Pacers 1A would beat an average NBA lineup (a lineup where the sum of the five player ratings is 0) by 3.5 points per 48 minutes. The amazing thing is that many teams play inferior lineups many more minutes than they do their better lineups. For example, in 2006–7 the Charlotte Hornets played the lineup

-224-

### Notes for this page

If you are trying to select text to create highlights or citations, remember that you must now click or tap on the first word, and then click or tap on the last word.
One moment ...
Default project is now your active project.
Project items
Notes
Cite this page

#### Cited page

Style
Citations are available only to our active members.
Buy instant access to cite pages or passages in MLA 8, MLA 7, APA and Chicago citation styles.

(Einhorn, 1992, p. 25)

(Einhorn 25)

(Einhorn 25)

1. Lois J. Einhorn, Abraham Lincoln, the Orator: Penetrating the Lincoln Legend (Westport, CT: Greenwood Press, 1992), 25, http://www.questia.com/read/27419298.

Note: primary sources have slightly different requirements for citation. Please see these guidelines for more information.

#### Cited page

Bookmark this page
Mathletics: How Gamblers, Managers, and Sports Enthusiasts Use Mathematics in Baseball, Basketball, and Football
Table of contents

Settings

#### Settings

Typeface
Text size Reset View mode
Search within

Look up

#### Look up a word

• Dictionary
• Thesaurus
Please submit a word or phrase above.
Print this page

#### Print this page

Why can't I print more than one page at a time?

Help
Full screen
Items saved from this book
• Bookmarks
• Highlights & Notes
• Citations
/ 358

## Questia reader help

### How to highlight and cite specific passages

1. Click or tap the first word you want to select.
2. Click or tap the last word you want to select, and you’ll see everything in between get selected.
3. You’ll then get a menu of options like creating a highlight or a citation from that passage of text.

## Cited passage

Style
Citations are available only to our active members.
Buy instant access to cite pages or passages in MLA 8, MLA 7, APA and Chicago citation styles.

"Portraying himself as an honest, ordinary person helped Lincoln identify with his audiences." (Einhorn, 1992, p. 25).

"Portraying himself as an honest, ordinary person helped Lincoln identify with his audiences." (Einhorn 25)

"Portraying himself as an honest, ordinary person helped Lincoln identify with his audiences." (Einhorn 25)

"Portraying himself as an honest, ordinary person helped Lincoln identify with his audiences."1

1. Lois J. Einhorn, Abraham Lincoln, the Orator: Penetrating the Lincoln Legend (Westport, CT: Greenwood Press, 1992), 25, http://www.questia.com/read/27419298.

## Thanks for trying Questia!

Please continue trying out our research tools, but please note, full functionality is available only to our active members.

Your work will be lost once you leave this Web page.

Buy instant access to save your work.

Already a member? Log in now.

Search by...
Show...

### Oops!

An unknown error has occurred. Please click the button below to reload the page. If the problem persists, please try again in a little while.