Those damned statistics again – Rugby4Cast on Scotland’s chances

Scotland take on England this weekend in an eagerly awaited Calcutta Cup match in Edinburgh. For the Scots, this will be be viewed as an ominous, yet tempting, prospect.

Ominous because England are the twice-reigning Six Nations Champions, have won 25 of their last 26 games (26 from 27 if you count the Barbarians match last May), and their last eight matches against the Scots. This run has seen them rise from seventh in the World Rankings at the end of the last World Cup to second, behind only the mighty All Blacks.

England's winning run

Scotland fans will be hoping England’s impressive results are due a correction.

However the bigger they are the harder they fall, and for Scotland the chance to get one back against the Auld Enemy in this, the oldest of fixtures and rivalries (Scotland v England was the first international rugby fixture ever played – 27 March 1871 with the Scots winning by one goal to nil) must be a tempting prospect indeed.

Have England become too big for their boots? Does Eddie Jones need taking down a peg or two? For Scottish fans these are easy questions to answer.

Statistically at least, Scotland have a real mountain to climb. Make no mistake about it, rankings-wise (and there would be few who could argue sensibly otherwise), this is the best England side since the World Cup winning side of 2003. Back in 2003, after beating Australia in Australia to lift the Web Ellis trophy, England topped out on 93.99 ranking points and (briefly) overtook New Zealand as the world’s best side.

Under Eddie Jones, and since their disastrous home World Cup performance in 2015, England have climbed from slightly below 80 ranking points to their current position of
90.87, behind only the All Blacks on, coincidentally, 93.99.

[Aside: Interestingly, the first game post 2015 World Cup for both sides was in fact Scotland v England at Murrayfield. Had the Scots won this game, they would have overtaken England
in the official World Rugby Rankings (which date back to 2003) for the first time ever. We can add, having recalculated the complete rankings going back to that first game
in 1871, it would have been the first time Scotland ranked above England since 1990.]

20 years of results

Scotland and England’s previous highs and lows can be seen here [N.B. – a rolling average has been used so graph won’t match exact rankings history

However, as can be seen above, this is also the best Scotland side for quite some time. As we wrote about here on our site, this was best Scotland side that we had ever seen going into the Six Nations and, rankings wise, the highest Scotland have been since around 1991. Despite suffering a severe knock to their confidence in the first match against Wales, the Scots have certainly got something tangible behind their recent rise as a rugby power. So can they overturn all the statistics and stop England in their tracks?

Our model would suggest not, but it might be closer than you think. Currently our algorithm suggests that England will beat Scotland 16 – 23, with the Scots having a 32% chance of
victory. One in three are odds that most Scots would probably accept heading into this fixture, and it might be enough to worry some English fans.

Our model works by looking at historical scoring patterns in matches (both generally and specifically in head to heads), the current rankings and location to work out an expected score
for both sides. More accurately speaking, this means each predicted score is actually a metric to describe the relative historical strength of the two teams, based on their performances over
previous years. However, we think it is more fun to think of them as predictions. At the very least, it certainly serves to provoke the trolls lurking on Twitter.

Specifically, with respect to this match, the model works as follows:

  • Recently Scotland have averaged just under 26 points a match at home.
  • England average just under 28 away.
  • This particular fixture (Scotland v England at Murrayfield) has been especially low scoring in recent years, with England winning by, on average, just 14 points to 9.

These averages, combined with the current rankings, Scotland’s home advantage (deemed by World Rugby to be worth three extra ranking points) and a bit of whizzy magic in our supercomputer gives the predicted result: 16-23 to England.

I’m afraid we can’t provide any insight into why this fixture is usually as low scoring as it is. Perhaps the occasion, rivalry and desire to win lead to improved defences, or perhaps it is just the weather in February. Regardless, what can be read from the above is that, almost without exception the team that scores more than 14 points will win the match. Two converted tries may not seem like much, but in a fixture that has averaged just 0.9 tries per team per game, it might just be enough.

Now of course, having said this, we fully expect this fixture to become a 50-point belter, with both sides scoring at least eight tries each. It is the statistician’s curse. Given the two sides recent try scoring prowess, there is good reason to believe that this game may be rather higher scoring than usual (indeed, this is why 16 – 23 is the predicted score, rather than the usual 9-14).

So how can Scotland win this game?

Sadly our model doesn’t give any guaranteed tips. However, as already mentioned, what can be gleaned is that this is a historically low scoring affair, with the winning margin usually around five points. If this game progresses according to form, and Scotland can take their chances, then this game will likely be theirs for the taking. They could also do worse than learn from how Wales challenged England at Twickenham last weekend, restricting their points with excellent defence and giving away just 2 penalties.

For Scotland a predicted seven point margin will not seem insurmountable, and they will be confident that that can be overturned on the 24th February.

What will give the Scots further hope is their recent record at home. Since the beginning of 2016, around the same time as England’s run began, they have lost just three home games – to
England, Australia and New Zealand – by an average of only four points. In that time, they have beaten Ireland, Wales, France twice and Australia, scoring tries with abandon and racking up scores that we have rarely seen from Scottish sides in the last 20 years. Murrayfield is now an undeniably difficult place to travel to.

For those who point to Scotland’s debacle against Wales as evidence that they are not quite what they are built up to be, we would largely agree, but with a caveat. Scotland are probably unfairly built up by the media (as we pointed out here) but these horror performances (against England in Six Nations 2017, Fiji in Summer 2017, and Wales in Six Nations 2018) were all played away from home. The difference between Scotland’s home and away record is bleak and something that Scotland will need to overcome if they are to genuinely challenge for Six Nations titles in years to come.

For the moment and until such a time arrives, Scotland fans will have to focus on enjoying their home games. These can be approached with optimism and Scotland will currently head
into all of them, regardless of the opposition, with a not insignificant chance of winning. Of course, come kick-off, most stats can fly out of the window. Both England and Scotland
could win by 20 points, and our prediction of a relatively tight, tense encounter would look foolish. But for now in the build-up, let us concentrate on the stats. For in them, for Scotland fans, there is undisputed promise and they can relish the prospect that their home matches bring.

Especially those played against auld rivals.

Rugby4Cast is a small group of sports fanatics that have followed a variety of sports for years. What started out with Graeme (our founder) tracking rugby results and rankings has evolved into data-driven predictions, articles, and analysis of matches to give the insights that you see in our posts. Follow them on Twitter @Rugby4Cast

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Created using the combined powers of the Scottish Rugby Blog team.

10 comments on “Those damned statistics again – Rugby4Cast on Scotland’s chances

  1. Grum on

    This is a statistical analysis of the performances of the whole team. Other posts/ comments concentrate on the performance of individuals/ pairings. Simplistically my impression is that Scotland have done well where they hold their own in the tight but also , perhaps because they are playing teams who have come to ‘play’ as opposed to grind out, forwards have had a big go forward as well. When the grinders tie in / wear down the forwards the onus falls on the defensive qualities of the backs. Is it there that we have been lacking?

  2. MisterC on

    Evening all, first time poster on here.

    They do say that to see the future you need to look at the past. It is certainly true that these games at Murrayfield tend to be tight affairs, to the extent we usually don’t get too royally pumped. It has to be said that England have an annoying tendency to get their game together against us after some ropey performances as we saw last year. England have looked solid so far and it’s not like they need to make amends for a previous poor performance or whatever so I think that works in our favour.

    Dare I say it,maybe the Wales performance was the kick up the arse we needed and we know now never to get ahead of ourselves as we had in the run up to that game. We are back as underdog’s now and that suits us down to the ground.

    If you combine the stats above, the extra effort that so called underdog’s give, and the home support,we have a chance. The less silly errors and the more points we have are the stats that really matter!

  3. Referendum on

    We’ve knocked all of the other long standing losing records on the head over the last few years in the six nations. Just need one more for the full set. Oh please let it happen Saturday. Oh to see Jones face.

    • Andrew McGavin on

      Only at home, though, Ref, which is what gives hope for this week. But bigger picture we need to win away consistently.

    • The Fat Bloke on

      I couldn’t agree more. I do love an indignant Australian, regardless of the sport. Steve Smith when beaten pouts like a teenager but Eddie Jones would be a masterpiece.

  4. Mikelinds on

    No spot for this yet, but this result shows why not to attached too much to statistics.

    Scotland under-20 24 – 17 Ingerlund under-20.

    Given the kickings the guys were handed in the first two games, this is something to be proud of. Well done.

  5. Alanyst on

    23-16 not so far off….oh hang on!??.

    Good job all the same…more seriously, does your approach give some sort of margin for error?

    Interested to find out what sort of percentile range the actual result was in.

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