Re: Baseball

On Apr 10, 5:13 pm, James Waldby <n...@xxxxx> wrote:
mensana...@xxxxxxxxxxx wrote:
On Apr 10, 3:34 pm, Dave Seaman <dsea...@xxxxxxxxxxxx> wrote:
...
On Apr 10, 2:45 pm, "john0...@xxxxxxx" <john0...@xxxxxxx> wrote:

To keep it simple, before 1960 the National and American Basball
Leagues used to have 8 teams each. Each team would play every
other team in its league 22 times for a total of 154 games.
...
Suppose you had eight people "play" an identical schedule of
card cutting or something where it is all luck and no skill.
Aproxomately how would you expect "teams" one thru eight to
finish in wins and losses, say averaged out over 100 "seasons?"
...
I think you will find that the teams 1 through 8 will not average 77
wins each. Teams 1-4 will average more than that, and teams 5-8 will
average fewer.

You may think I'll find that, but that's not what I find:

team: 0 Average wins: 76
team: 1 Average wins: 77
team: 2 Average wins: 77
team: 3 Average wins: 77
team: 4 Average wins: 77
team: 5 Average wins: 76
team: 6 Average wins: 76
team: 7 Average wins: 76

He is essentially asking for order statistics.

Your numbers indicate that the average number of wins is
equal to the average number of wins,

Why wouldn't they for
"card cutting or something where it is all luck and no skill"?

but say nothing
about how many games the average league-leader wins,
which is about 67, per program baseballsim.c athttp://pat7.com/jp/s/baseballsim.cwhich gives:
67 71 74 76 78 80 82 85
0.441 0.463 0.481 0.494 0.507 0.521 0.535 0.558
for the average order statistics and percentages.

There was no question asked about baseball.


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