AboutTom Schott Expertise I will deal with the major leagues only from 19th century to present. I`m good on baseball history, records, statistics, ballparks. I don't do off-the-field stuff. Please if you already know the answer to the question, please don't ask it. I don't want to play "stump the expert."
Experience I've written on the subject, and I have substantial library of resources.
Organizations SABR
Publications Numerous encyclopedia, newspaper, magazine articles. One book, several book chapters.
Question How many runs per game, walks per game, hits per game, were recorded per game during each game of the 2008 MLB season?
Specifically I’m looking for an interesting baseball problem for my college statistics students that demonstrates a discrete (or countable) variable. The resulting information would be summarized in a table looking like the one shown here.
Variable Time Occurred
0 45 games where 0 occurred
1 167 games where 1 occurred
2 578
3 .
. .
. .
____________________
Total 2430*
*It would be 2430 if game totals or 4860 if team total per game.
The variable could be anything like: number of runs scored per game, or number of walks issued per game, number of strikeouts per game, number of stolen bases per game, number of hits per game, number of extra base hits per game, etc.
Any one of these would work for me. If you have a suggestion for a different variable, I am open to suggestions, especially if they are discrete (countable variables) – It would seem like discrete distributions would be easy to find, but the complete information for real world ones seem to be very difficult to find.
I wish I knew how to search for and find information like this.
I'm still not clear if this is the sort of thing you have in mind, but one of the shred outs here is number of games with X number of hits. As you will see there are a number of different variables you could play with for hits: runners on base, location of the hit, pitch count, and so forth. Is this the kind of thing you had in mind. If you need more information or have questions, please email me at: tom.schott@gmail.com.
Discrete distributions are indeed difficult to find, unless you're hooked up with the kind of tools that a place like baseball-reference.com can supply.
It can do the same kind of reports on individual players, teams, etc. Actually there's no practical limit on the various sorts of reports you can generate.