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Stats behind home-field advantage

A Statistical Approach (continued)
Stats behind home-field advantage

The analysis considered two main factors:

1. Whether the game was played at home (“h”) or away (“a”).

2. The margin of victory (or defeat).

A side-by-side comparison of the frequency of different margin of victory values. The histogram for home games was skewed towards positive margins, while away games had more values closer to or below zero. Made by Josh Cande.

The regression model showed that, on average, playing at home provided a 10.65-point advantage over playing on the road. This effect was statistically significant, with a p-value of 0.0005. Basically, 0.0005 means that location of the game definitely had an impact on the margin of the victory.

We even get a cool equation out of it, where ‘mv’ is margin of victory and ‘ha’ is home or away. We set h to 1 and a to 0.

mv = -7.549 +10.653 x ha

This equation tells us that OSU is expected to lose by 7.55 points in away games (almost exactly a touchdown).

However, by playing at home, we add 10.653 points to OSU’s expected margin of victory. Here, that is equivalent to a touchdown and a field goal.

But what is the range of this? Is it always like this?

This is an estimate, so to really describe the advantage I made a confidence interval. Based on our regression, we are 95% confident that OSU’s home field advantage is between 4.69 and 16.62 points.

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