During today’s Aston Villa-Manchester United match, Iain Dowie (the color commentator) mentioned that United’s form is improving and that they are historically a stronger team in the second half of the season, meaning that they may be able to put this season’s troubles behind them and make a run either the title or a Champions League spot. I didn’t get a chance to record the exact statement, but I decided to check up on it regardless.

I pulled data from the last ten completed Premier League seasons (via statto.com) to evaluate whether there’s any evidence that this is the case. What I chose to focus on was simply the number of first half and second half points for United, with first half and second half defined by number of games played (first 19 vs. last 19). One obvious problem with looking at this so simply is strength of schedule considerations. However, the Premier League, by virtue of playing a double round robin, is pretty close to having a balanced schedule—there is a small amount of difference in the teams one might play, and there are issues involving home and away, rest, and matches in other competitions, but I expect that’s random from year to year.

So, going ahead with this, has Man U actually produced better results in the second half of the season? Well, in the last 10 seasons (2003-04 – 2012-13), they had more points in the second half 4 times, and they did worse in the second half the other 6. (Full results are in the table at the bottom of the post.) The differences here aren’t huge—only a couple of points—but not only is there no statistically significant effect, there isn’t even a hint of an effect. Iain Dowie thus appears to be blowing smoke and gets to be the most recent commentator to aggravate me by spouting facts without support. (The aggravation in this case is compounded by the fact that this “fact” was wrong.)

I’ll close with two oddities in the data. The first is that, there are 20 teams that have been in the Premiership for at least 5 of the last 10 years, and exactly one has a significant result at the 5% level for the difference between first half and second half. (Award yourself a cookie if you guessed Birmingham City.) This seems like a textbook example of multiplicity to me.

The second, for the next time you want to throw a real stumper at someone, is that there is one team in the last 16 years (all I could easily pull data for) that had the same goal difference and number of points in the two halves of the season. That team is 2002-03 Birmingham City; I have to imagine that finishing 13th with 48 points and a -8 goal difference is about as dull as a season can get, though they did win both their Derby matches (good for them, no good for this Villa supporter).

Manchester United Results by Half, 2003—2012

Year	First Half Points	Second Half Points	Total Points	First Half Goal Difference	Second Half Goal Difference	Total Goal Difference
2003	46	29	75	25	4	29
2004	37	40	77	17	15	32
2005	41	42	83	20	18	38
2006	47	42	89	31	25	56
2007	45	42	87	27	31	58
2008	41	49	90	22	22	44
2009	40	45	85	22	36	58
2010	41	39	80	23	18	41
2011	45	44	89	32	24	56
2012	46	43	89	20	23	43