Poisson Distribution is one of the most efficient ways to gauge a winner in soccer (football). When the poisson distribution system is used correctly, it can help determine the average goal scoring probability between two sides. That said, it can also be one of the more complex ways to calculate a potential winner, and it is isn’t perfect. So we’ll go over the basics here.
Poisson Distribution is based upon formulas, so if you aren’t fantastic with long division and multiplication, you might want a calculator.
P(x; μ) = (e-μ) (μx) / x!
If the above looks complicated and makes you say WTF, don’t worry. We’ll break it down for you. Basically, this is the principle formula behind the poisson distribution system, and what this formula does is it calculates the probability of the success of an event (in this case, a goal) over a specific window (in this case, a game). So let’s leave that alone for a bit and we’ll take two clubs. Since we need a window of time to gauge overall skill level, we’ll use a full season.
The first thing you’re going to do is deal with the total goals scored over a season. So first, divide the home teams’s goals by total games played. Then, divide the away goals by total games played. This will produce two decimal numbers for home and away strength, which then give us total attack strength for the club during the defined period.
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Next, you’ll need the number of goals conceded. There’s no math involved here, simply invert the numbers. (If the home and away strength were 1.574 and 1.195, respectively, then the goals conceded will be 1.195 and 1.574 for the goals conceded.)
Repeat this process for the away team.
Ready for Some Multiplication?
After you’ve calculated the numbers above for both teams, the answers become a little clearer. The key to remember here for the poisson distribution system is that you are not calculating a single set of probabilities, but two sets: one for the home team and one for the away team.
So the first thing to do is calculate the home team’s attack strength.
Take the number of goals scored at home over the time period (the season) by the home team and divide that number by number of home games.
After this, divide the answer by the season’s average home goals scored per game to get the home team’s Attack Strength.
Home Goals = Home Attack * Away Defense * Average No. Goals
Once this is done, repeat the process in the inverse with the away team’s numbers, calculating as:
Away Goals = Away Attack * Home Defense * Average No. Goals
This will likely produce two decimal numbers, one higher than the other. While that might be somewhat useful on the money line or 1X2 betting or asian handicapping, when using the poisson distribution system for making your soccer picks or other sports betting, that will not be useful for calculating goal probabilities.
This is the best time to introduce the Poisson Distribution Calculator. After calculating the above, you can simply plug the numbers into the calculator for the probability of each team to score a goal. By using a margin of, say, four goals, you can simply place a goal outcome (say, between 1-4) in the “random variable”, and the likelihood of a team scoring (the multiplied formula), and the calculator will issue that probability. By using the calculator with both teams up to a set number of goals, you can have a pretty good estimate in terms of highest probability in total score, and can compare it accordingly to the sports book.
One word of advice, however: soccer is unique in that a change in the narrative can completely throw numbers to the wind. Pay attention to things before you make our football tips, such as key stats that can play a major influence on impacting the score, and the game outcome.