Some context for Skofterud’s late season troubles

Since I feel bad picking on Vibeke Skofterud twice now, I thought I’d follow that up with a look at that kind of trend among all skiers. Today we’ll look at distance results, Friday we’ll consider sprinting.

I hauled out my favorite statistical canon for this one, a mixed-effect model that compares each skiers results to the time during the season, estimating a separate slope for each athlete. Then I can quickly sort skiers into those with a large positive slope (get slower as the season progresses) and those with a large negative slope (get better as the season progresses).

Here are the six skiers, active in 2011-2012, with the largest declines in performance (at least, as measured by this model) over the course of a season:

I’ve highlighted each skiers results from this season in red. Also note that while I’m using standardized percent behind the median skier, the scales on each panel are different, for readability’s sake.

Surprised to see Kikkan Randall here? Note that she has had a large number of poor races in Feb/Mar. But just as influential are the current season’s result (which isn’t finished yet). Since they’ve all been rather good, they will tend to pull down the estimate of her early season performance. Once I made this plot, I realized that it would make more sense to fit the model on only results from completed seasons. For many skiers (indeed, most of the ones I’ll show you) it wouldn’t make much of a difference, but it clearly would with Kikkan. Consider this your daily glimpse into the iterative process that is “statistical analysis”.

Notice also that Skofterud isn’t at the top of this list. So perhaps we shouldn’t be quite as hard on her for tailing off as the season progresses.

How about the folks that see the most significant improvements over the course of a season?

These tend to be skiers with considerably more races under their belts. Oxana Jatskaya is an interesting case, as her current season seems to be playing out right on cue: some “normal” early season results, followed by the terrible results mid-season. What will she pull off in February…?

 

Related posts:

  1. How’d We Do? USA/CAN Season Review 4
  2. Putting WSC Sprint Results In Context
  3. Skofterud’s Early Season Strengths Update
  4. Vibeke Skofterud’s Early Season Strengths
  5. WC Split Times: Biggest Gains

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Comments

2 Responses to “Some context for Skofterud’s late season troubles”
  1. Sagitus says:

    I also wonder for the North American skiers if trips back home at world cup breaks lead to worse results when returning to Europe. I’ve heard Marty Hall make this claim, and I know in years past US athletes often returned home for National Champs mid season. So far this year the decision by US and Canadian athletes to remain in Europe all season seems to be a good one, we’ll see if that is still the case by March.

    • Joran says:

      I agree that’s likely an issue. In that vein, one thing I meant to mention but forgot was that oftentimes US skiers are introduced to the WC at the start of their careers during the mid to late season races. So North American athletes may have accumulated a disproportionate number of lower quality results later in the season, simply because that’s when they were given their first starts early on.

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