Skip to main content

Math of Sports Study Hall: The Spread and Victory, Basketball Edition

In one of my previous posts, I gave a lengthy explanation of the relationship between the Vegas spread in football and the probability that the favored team would ultimately win the game. Utilizing spread data that I collected over about an 8 year period, and assuming that the actual margin of victory would adopt a Normal / Gaussian distribution centered around the spread. I found that it was fairly simple to calculate the spread vs. victory curve once you know (based on a lot of data) that the standard deviation of the deviation of the actual result from the spread is around 14-15 points.

I was also curious about whether a similar analysis could be made based on college basketball data, but this was something that I never looked into previously.  Fortunately, I realized a few days ago that my go-to web sight for spread data (a site called "Prediction Tracker") has an mostly complete archive of spread data for all sorts of sports, including college basketball.  I quickly downloaded some CVS files and within a couple of hours, I set up a simple database of college basketball spread data fro 2004 to 2017 including over 47,000 games. As one would expect, you can perform the exact same analysis and learn that in basketball, the key standard deviation value is almost exactly 10 points and this value appears to hold steady (unlike football) as the spread gets bigger.  As a result, I was once again able to plot the spread vs. victory curve, which is shown here, along with the raw probably data from the database:


As one would expect, due to the tighter standard deviation the probability of victory rises quicker than it does in football such that a 7-point spread means a 75% chance of victory, the odds go over 90% at 13 points, and cross 99% at a spread of 23.5.  In tabular form, the data looks like this:


Anyway, I thought it was interesting. Enjoy!

Comments

Popular posts from this blog

Dr. Green and White Helps You Fill Out Your Bracket (2026 Edition)

In my opinion, the middle of March is the absolute best time of the year. Over the past two weeks we have witnessed the exciting conclusion of several regular season conference races, followed by 31 conference tournaments. This past weekend, the full 68-team NCAA Tournament bracket was released. Sports fanatics are on the brink of Madness. Who will play the role of Cinderella in the story of the 2026 tournament? Will any survive to reach the second weekend? Which four teams will advance to Indianapolis on that first weekend in April? Which lucky team will end up cutting down the nets?  Over the years I have developed a set of analytics and computational tools to gain a better understanding of the mathematical underpinning of the NCAA Basketball Tournament. My methodology has a solid track record of correctly identifying upsets and sometimes doing more than that. In 2023, I used data to correctly predict that No. 4 seed UConn would win the National Title. There is no foolproof way t...

After a strong swing through the state of Indiana, March beckons for Michigan State basketball

I have a bit of a confession to make. Back in December when I was reviewing the overall Big Ten schedule for the Michigan State Spartans, I noticed the back-to-back games at Purdue and at Indiana at the tail end of the conference campaign.  The games were spaced just three days apart, and the Spartan have struggled noticeably in both buildings historically. Outside of possibly the west coast trip in January, this two-game stretch looked like the most subtly challenge portion of the entire schedule. I believed that just getting a split in two games would be a success But the Spartans surprised both me and the college basketball world be rising to the challenge and winning both games. Other Big Ten teams were not as fortunate this weekend as both Purdue and Illinois picked up an additional loss. Table 1 below shows the updated enhanced Big Ten standings following the weekend's action. Table 1 : Enhanced Big Ten standing as of March 2. Michigan's win over Illinois on Friday night ...

2017, Week 8 Preview (Spit Ballin')

As MSU crosses into the second half of 2017, a day has finally come that I am sure many of us have been waiting for.  The Spartans and us, their fans, suffered many crushing defeats last season, and one of the most heart-breaking was the slow, week-by-week pillaging of MSU’s trophy case. Of the four trophies that MSU plays for, I can say with virtual certainty that the trophy on the line once again this week is solidly in the Top 3. I am of course referring to the one, the only: Old Brass Spittoon. Now, because I care, I did a little research on the Old Brass Spittoon this week on this charming little website called “Google,” and what I found there was truly surprising. First of all, when you type “Old Brass” into “Google” it literally populated “Spittoon” for me, suggesting that it is, in fact, the most famous old brass item in the world, second, apparently, to “Old Brass Knuckles for Sale” (true story). Second, I found out that the history of the “OBS” is far, um, less interesti...