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The depressing math of home and away rotation

The concept of fixture rotation is nothing new.  It’s been discussed on this site and others for years.  This article will unpack data from the 2018/19 season to quantify the theoretical value of the typical home/away rotation (punchline: it isn’t much), and suggest an alternative approach.

The Concept

For the uninitiated, a rotation strategy simply means selecting two players (typically lower stature defenders or goalkeepers), and rotating them based on the home or away fixture.  Each year there are several pairs of teams which rotate perfectly (e.g. when one is home, the other is always away), and these pairs are typically the target of the rotation strategy.   The idea, of course, is to always capture the home field advantage.

The Data

Because rotation strategy typically involves defenders and/or goalkeepers, I am going to focus on clean sheets for the purpose of this analysis.  As the tables below show, over the course of the 2018/19 season there were 207 total clean sheets out of a possible 760 (38 matches x 20 teams) or 27.2%.  Of the clean sheets, 57.5% were kept at home, while 42.5% were kept away.  Said another way, the “average” team kept a clean sheet 31.3% of the time at home and 23.2% away, with an overall clean sheet percentage of 27.2%.   That idea is illustrated in the bottom row of the right hand table.

That isn’t the whole story, however.  As one might expect, the top six sides capture a disproportionate share of the clean sheets.  Since top six players aren’t typically used in a rotation strategy, it’s important to filter them out.   When you do, you see that the average non-top six side kept a clean sheet 27.1% of the time at home and 22.9% of the time overall.  Those key numbers are in orange and green.

Home/Away Rotation Punchline

From here, quantifying the value of the rotation strategy is fairly straight forward.  The average non-top six side is expected to keep 22.9% * 38 games or 8.7 clean sheets.  Using a perfect home/away rotation, one would expect 27.1% * 38 games or 10.3 clean sheets.   Assuming 4.5 points per clean sheet (which gives some arbitrary credit for BPS), the expected value of the strategy is (10.3 * 4.5) – (8.7 * 4.5) or about 7.2 points!  That’s a paltry total.   I’d say those who shun rotation are rightly skeptical.

Case Closed?

So, rotation is dead, right?  Not so fast. What if there were pairs of teams, which when rotated, never play a top six side, or better yet, always play a bottom half side.  Would that change things?

The Data

The analysis for this part is a little more nuanced, but still rather straight forward.  If you look at non-top six sides (remember, we are doing that because those are our rotation candidates) playing against bottom 10 sides, there were 130 such games last season, meaning there were 260 clean sheet opportunities.  There were 81 clean sheets in this group or 31.2% of the total opportunities, as shown in the table below.  Please note the home/away percentages are irrelevant for this section, but I have included if you are interested.

Fixture-Based Rotation Punchline

As we saw in the earlier analysis, the average non-top 6 team kept a clean sheet 22.9% of the time, which yields an expected clean sheet total of 8.7.  Using a perfect fixture rotation, one would expect 31.2% * 38 games or 11.9 clean sheets.   Using the same 4.5 points per clean sheet, the value of the strategy is (11.9 * 4.5) – (8.7 * 4.5) or about 14.2 points.  That’s still not great, but it’s twice as valuable as the home/away rotation.

It turns out there are two team pairs with nearly perfect fixture rotations this season.  Those pairs are Everton/Crystal Palace and Wolves/West Ham.

Their fixture rotations can be seen here.

Even that has problems.  For example, rotating West Ham and Wolves keepers will cost you 10.0m, and for that you are better off with Ederson or Alisson and a 4.0.  Same problem with Palace and Everton (and potentially worse depending on who actually starts for Palace).

As an aside, it’s worth noting that Wolves/West Ham also have perfect home/away rotation.  Sadly, these don’t overlap.  That would be a unicorn indeed.

Conclusion

Using 2018/19 data, home/away rotation is of dubious value, generating an expected additional return of just 7.2 points, based on clean sheets only.

Fixture-based rotation is better, generating an expected additional return of 14.2 points, again based only on clean sheets.

Neither strategy generates massive returns, and for the money, set and forget options may be better.

38 Comments Post a Comment
  1. Rotation's Alter Ego
    • Fantasy Football Scout Member
    • Has Moderation Rights
    • 12 Years
    4 years, 9 months ago

    Thank you for posting 🙂

    I'm a fan of fixture based rotation pairings but currently looks like I'll start with neither this year due to the way the teams that could rotate are priced. I'm happy to see the maths backs me up there 😉

    I might end up with a Villa / Burnley rotation, though I'm not sure how long that would last me and based on the above, if it's worth it!

  2. Andy_Social
    • 11 Years
    4 years, 9 months ago

    I don't much stock on home/away rotation, but easy fixtures is another story. I'm looking at a combo I've never seen anyone consider here - if they both nail their spots after GW3 or so, Holding at Arsenal and Foyth/5m RB at Spurs could be very tasty indeed.

    1. Markus
      • 14 Years
      4 years, 9 months ago

      That's the one to go for innit as actually decent defences. I've never done ratation before but that's the one that's got me interested as if poch rotates full backs you've got a ready made backup too. Even bavies/holding decent as it's spurs you really want

    2. Mo Mané No Problems
      • 7 Years
      4 years, 9 months ago

      Yeah, I'm strongly considering Cathcart/Dunk rotation over getting Digne, after the loss of Gueye and Zouma. It gives these fixtures for the first 14 GWs:

      BHA, WHU, WHU/SOU, new, BUR, new, wol, SHU, avl, EVE, NOR, nor, BUR, sou.

  3. diesel001
    • 7 Years
    4 years, 9 months ago

    See my posts on the best 'Rotation Pairs' IMO. I would not rotate GKs because of the potential for save points. But defenders it is worth looking at.

    https://www.fantasyfootballscout.co.uk/2019/06/13/premier-league-release-fixtures-for-2019-20-season/ hc_page=1&hc_sort_by=comment_date#hc_comment_20383580

      1. Udo
        • 6 Years
        4 years, 9 months ago

        I thought about that for a while with 2 4.5 defenders, but walked away from it as they would make life quite challenging as soon as injuries/ rotation etc. kicks in. There was even an article to rotate 3 players, but hell that would need some positive/ inside knownledge thinking to succeed wouldn't it?
        Not saying it is a bad option, but just not for me.

        1. TacticsTom
          • 4 Years
          4 years, 9 months ago

          Hey UDO, where was this article on rotating 3 players as I was toying with the idea? Thanks

    1. A Fat Spanish Waiter
      • Fantasy Football Scout Member
      • 9 Years
      4 years, 9 months ago

      Diesel, you are correct that there are other fixture rotation pairs that work as well. I actually saw your earlier post and I checked those pairs before doing my article. For my work I just looked at non top 6 sides versus the bottom 10 and picked the pairs with the largest number of favorable matchups. There isn’t a “perfect” match, but there are several that are close, as you correctly point out.

  4. BadaBing
    • Fantasy Football Scout Member
    • 4 Years
    4 years, 9 months ago

    So I’ve been toying with an Ake/Noble rotation. Ake at home had ok returns last season with attacking returns or CS on average every other game. When Bournemouth are away or the big boys come to town rotate with Noble (pens??). I quite like to actually ‘manage’ the team rather than all set and forget.

  5. Markus
    • 14 Years
    4 years, 9 months ago

    Thanks for the article and your work, great stuff. Same as my own conclusions in that to get a significant gain you need reasonable clean sheets to begin with. I did 3 seasons of analysis of clean sheet distribution by fixture n it reverts to a trend by which you can calculate fixture percentages based on poisson distribution of opponent goals scored, then apply that to the average of however many clean sheets a team will get in a season, only for worse teams (9 or less clean sheets) the fixture variance is more pronounced, and for better teams (16 plus clean sheets) the fixture variance is significantly reduced so need to adjust for that. The highest % gain I found I could quickly identify from defensive pairs was about 130% returns which was spurs/arsenal. If someone wants to do fuller analysis for a community article with what I think are the most accurate numbers (as generated and tweaked by a master tab of what you think overall team for/against are so if you disagree with my numbers from last years xg etc data can just change them!) I'm happy to send spreadsheet privately.

    1. A Fat Spanish Waiter
      • Fantasy Football Scout Member
      • 9 Years
      4 years, 9 months ago

      Markus, you actually gave me the idea for this article. So, thanks to you really.

      My thought was to generalize using averages. The reason for that is because I’m not astute enough to pick which rotating pair will be best. Rather, I wanted to illustrate that home/away rotation, on average, just doesn’t do much. Sure, if you pick the right pair it could work. Looking backward, it’s easy to find good examples. It’s much harder looking forward.

      1. Markus
        • 14 Years
        4 years, 9 months ago

        Ah glad to be of inspiration! I agree on home away front, opposition makes much bigger difference. I do think that it's possible to predict going ahead if you manage expectations that you will get wrong option sometimes, and that attacking returns aren't exactly the same correlation of fixture (eg arsenal at home, good for attacks, poor for defence). The big barrier for me is that you can pay 5.5 for 13 clean sheets with spurs or Everton and attacking returns, so you need a 5m/4.5m rotation to be hitting similar to be worth it. I don't see many teams that I'm confident of getting 10 clean sheets and some attacking threat available for those prices. For me 5m+sub/4.5mx2 aren't getting enough for me to want to start them as want everyone bar Gk to be getting 150+ minimum, but if you're that way inclined 4.5m rotation could possibly work.

        1. Baps hunter
          • Fantasy Football Scout Member
          • 6 Years
          4 years, 9 months ago

          There is at least one or two things thing to be added to this equation. Importance of playing bench. With rotating players there should be playing backup. Fodders like Kelly (not first choice) come with risk of being dropped which means also price drop risk and forced -4 or forced transfer at least.

          Calculating benefits of rotation afterwards is approach that has many caveats. Besides hindsight the period is simply too long. We have two wc:s so shorter plum periods should be more benefitial.

          And another question is whether should rotate medium priced players. Compare for example this A and B for the start. Which is better?

          A) KdB + King
          B) Moura(gw1) + Haller (from gw2) + money itb to upgrade fodder to let us say Coleman etc and play him for first two gw:s.

          1. Baps hunter
            • Fantasy Football Scout Member
            • 6 Years
            4 years, 9 months ago

            And sorry for poor English with my mobile 🙁

    2. A Fat Spanish Waiter
      • Fantasy Football Scout Member
      • 9 Years
      4 years, 9 months ago

      Markus, message me on Twitter @robertdovenberg

      I’ll send you a spreadsheet I think you might want to play with. 🙂

  6. Navispar
    • 7 Years
    4 years, 9 months ago

    Isn't the point of cheap defender rotation to not only minimise point loss but also to free up £'s to invest elsewhere? If so this doesn't debunk the theory as only half the story.

    Not a fan of rotation but to be honest not a fan of statistical analysis either.

    This is football, it is the uncertainty, the twists and turns and the unexpected results and unlikely hero's we love. My advice is go with your instinct and not sma strategy or template or optimised data set.

    Good luck. (we all need that)

  7. Ste-Rex
    • 4 Years
    4 years, 9 months ago

    Great article but....

    The problem with rotating pairs is picking the right fixture. The stats above don’t take into account those times when your Home keeper conceded and your away keeper with a harder fixture keeps a clean sheet with loadsa save points.

    If you were to go back and calculate the lost points for the ‘wrong’ choice would you have lost the 14.2 potential gain.

    I personally hate having the choice, getting it wrong and seeing the points sitting on the bench.

  8. A Fat Spanish Waiter
    • Fantasy Football Scout Member
    • 9 Years
    4 years, 9 months ago

    Ste-Rex,

    It does take it into account...but only over the long term. Week to week variation can be (and usually is) quite wide. Essentially, my analysis just defined a rule (e.g always play the the home goalkeeper in a rotating pair) and then tests whether that approach does better than the average set and forget - over course of an entire season.

    The whole point here was to quantify the idea that while home/away rotation might sound like a great idea, it’s rubbish strategy. Fixture rotation is better, but not much.

    1. Ste-Rex
      • 4 Years
      4 years, 9 months ago

      The DGW example of BHA last season. 2 plum fixtures against BOU and CAR if memory serves got people loading up with Dunk, Duffy & Ryan - minus points later we all transferred them out / benched them as they had 2 horrible fixtures. The law of sod then kicked in and they produced. Arrrrrggggghhhhh. The missed hauls are usually the big ones, or it feels that way.

      1. A Fat Spanish Waiter
        • Fantasy Football Scout Member
        • 9 Years
        4 years, 9 months ago

        I hear you, mate. I always seem to get the DGW wrong. I captained a BHA defender during that spell.

        As the old blues song goes, “if it wasn’t for bad luck, I would have no luck at all”

        1. Ste-Rex
          • 4 Years
          4 years, 9 months ago

          Isn’t that the crux of this article. Rotation relies on luck, educated luck, but still luck. A single, more reliable player eliminates an element of that luck.

          I have set myself up a league just for me and me this year. Two teams. Both will be identical GW1. One I will play. One I will leave - set and forget. Hopefully I can beat myself and prove that ‘playing’ the game gets better returns and I am not actually the FPL equivalent to Claudio Ranierri

          1. A Fat Spanish Waiter
            • Fantasy Football Scout Member
            • 9 Years
            4 years, 9 months ago

            I keep thinking about doing something similar.

            The first team is my eye test team. Manage it based on judgement with some analysis thrown in.

            The second is my strictly quantitative team. I’ll base all transfers based on optimization with the RMT tool on this site. I’m actually really curious how the quant team would do.

            1. Ste-Rex
              • 4 Years
              4 years, 9 months ago

              You could join my league if you want run the test, or we could pit our GW1 teams against each other. A new spin on RMT. League code 91bvnz

              1. Ste-Rex
                • 4 Years
                4 years, 9 months ago

                You can rotate defenders

  9. LFC466
    • 8 Years
    4 years, 9 months ago

    Now combine fixture based rotation with home/away rotation (36.9%) and you're less than half a percentage point away from the average of the top 6 (37.3%.) On top of that diminishing marginal utility has to be factored in, that is to say if you have 2/3 defenders rotating to fill your final defensive spot it is going to be much easier to find at least one guy who performs as one of the best in his price bracket than it is to find an equivalently good pick with just one spot when you're excluding the 2-3 premium defenders you think are the best.

  10. Ste-Rex
    • 4 Years
    4 years, 9 months ago

    Even Shane Duffy didn’t (c) Shane Duffy when Shane Duffy was the most (c)able Shane Duffy would ever be - but I bet Shane Duffy wouldn’t rotate Shane Duffy, unless there were 2 Shane Duffy’s.

    1. A Fat Spanish Waiter
      • Fantasy Football Scout Member
      • 9 Years
      4 years, 9 months ago

      I fell out of my chair reading that. In hindsight, giving him the armband seems so absurd.

  11. Wag the Drog
    • 12 Years
    4 years, 9 months ago

    5.5 to spend on a defender. Rest of Def:
    Pickford
    Zinchenko-TAA-VVD-Cathcart

  12. Tasty Jerk
    • 11 Years
    4 years, 9 months ago

    Watching our game vs AFC Wimbledon, Sakho put in a decent 60mins - but still off the pace match fitness wise so pretty certain Kelly will start at CB for us next week.

  13. Ste-Rex
    • 4 Years
    4 years, 9 months ago

    Is the modern game not changing? Are we not seeing teams like Wolves, Bournemouth and Watford arguably play better against teams that are perceived to be better?

    Wolves record against the big six, home and away was far better than expected. They actually played better when they had less possession. I don’t have the stats to back this up but Doherty last season, where did he score his points, home or away, against top six or bottom six?

    We also now pick defenders for their attacking threat, wing backs need space to run into. Away fixtures and those against so called top sides (MUN,ARS,CHE) give opportunity to do this.

    CHE 0-3 BOU (2018) Ake scores. BOU 4-0 CHE (2019) Daniels scores.

    Would a rotator have played or benched these players for those fixtures?

  14. Sharkytect
    • Fantasy Football Scout Member
    • 9 Years
    4 years, 9 months ago

    Fantastic stuff. To think i even once downloaded an app purely designed to help pick rotating defenders!

  15. Hedge
    • Fantasy Football Scout Member
    • 12 Years
    4 years, 9 months ago

    Great stuff, thanks for posting

  16. fplbest
    • 5 Years
    4 years, 9 months ago

    Markus, please message me you spreadsheet on azik170@gmail.com!
    Many thanks beforehand!

  17. ThatsTheWeekendRuined
    • 6 Years
    4 years, 9 months ago

    RMT please? Am I mental to have 5 premium defenders and nothing on bench?

    Kasper
    Azpil / Robertson / TAA / Digne / Walker
    Sterling / Salah / Perez / Siggy
    King

    Greenwood / Donker /Nketiah / McGovern

  18. Wrong Captain Choice - Ag i…
    • 14 Years
    4 years, 9 months ago

    Good article it kind of makes me want to keep my no specific rotation policy. And just have a loose type of rotation, with one good substitute - example azpilecueta