Why streaks,
whether good or bad, are merely random events. There is a reason why they
happen all the time.

In EPL’s most recent season, Man City did not lose for 14 games in a row.
At the opposite end of the table, Wolves did not win for 14 games in a row.
Fourteen is more than a third of 38, the entire season. Impressive, or is it?

Streaks embody the short-term thinking that is prevalent in football today.
Managers with good streaks are rewarded with the manager of the month awards,
while those with poor streaks are fired. Football journalists extrapolate
streaks into grandiose long term statements like “Seventh win in a row opens
the Man City Era,” or “Four games without a win, is it time to finally sack
Wenger?”

But for as long as we can remember, streaks have always happened. So I wondered,
are streaks just random events with no special meaning? Are streaks mere
reflections of a team’s overall performance, rather than momentary performance?

So I did some math and it turns out most streaks that happened in the 11-12 season were likely events. For example, Man U’s 8 game winning streak had a
probability of 61.7%, Man City’s 14 game without a loss had 53.7%, and Wolves’
14 game without a win had a 53.7%. Of all the 80 streaks that I calculated (20
each for win, loss, without a loss, without a win), Wigan’s eight game losing
streak was the least likely, at 2.8%.

In fact, most streaks were likely or highly likely. Only four of the 80
streaks exhibited less than 30% likelihood: Arsenal’s seven game win (21.8%),
Newcastle’s six game win (24.5%), Newcastle’s six game without a win (24.3%),
and the Wolves’ streak mentioned above. The implications of these numbers are
explained later on.

To briefly mention the methodology, you may skip this part if you believe
in what I say, I measured the team’s overall performance from the W/D/L count. Using
these numbers, I calculated the probability of each streak, involving the
recursive reasoning. To provide a snapshot, the probability of Man City’s seven
game streak in 38 games can only be derived by calculating the its probability
in 37 games, which depends on its probability in 36 games, and so forth. This
ladder of calculation stops at the probability of Man City’s seven game streak
in seven games, which is simply 0.737 (Man City’s overall win percentage)
multiplied by itself seven times. Thus, rather than having a defined formula, I
had to use excel to derive a plethora of numbers, and the results are
summarized below.

As Figure 2 shows and as
mentioned above, most streaks are either likely or highly likely. There are
exceptions, however, and these exceptions give us some insight into the 11-12
season.

Arsenal and Newcastle's win streaks are impressive. With such low
likelihood, their momentary performances are admirable. On the contrary, if you
look at the likelihood of poor performing teams' likelihood of losing streaks,
the likelihoods are relatively high, except for Wolves. To be more specific,
look at Arsenal, Tottenham, and Newcastle in their winning streaks, an d then
look at Aston Villa, QPR, Bolton, and Blackburn's losing or without-a-win
streaks. The contrast in these numbers show that Arsenal, Tottenham, and
Newcastle have at times performed beyond their usual level, while the lowly
teams performed exactly at their usual levels. This implies that good teams do
create unlikely winning momentum that eventually contributes to their high
league standings.

The data also shows that Tottenham is the most erratic team. All four of
their streaks have the likelihood in the 0.300s. This shows that all of their
streaks were somewhat unlikely, and to have unlikely good streaks as well as
unlikely bad streaks shows that Spurs were inconsistent, perhaps even moody.

This study can be immediately improved in two ways. First is the definition
of a streak. In this calculation, I only considered win only, no loss, loss
only, no win streaks. If you look at Wigan's last 9 games (7W 2L) or Liverpool
games 24 - 32 (just one win in 9 games), these can be considered to be streaks
as well, but they were not involved in this study because they were outside the
boundaries of the definition of a streak.

Another more challenging aspect of the study is the confounding effect.
This study assumes that the team's performance is constant throughout the
season. I assumed that the team's season win percentage was something that is
constant throughout. In other words, Man City's 0.737 win percentage is an
innate quality of the team that was displayed from matchday 1 all the way
through matchday 38. The results of soccer, however, can change by a matter of
a goal. Draws can turn into wins by the smallest variables. Hence, if one
thinks about those three or four games so-and-so team could have won, and had
the outcome been different, the calculations above would be wildly different,
especially if those outcomes have been back-to-back games.