Women’s Alpine Skiing World Cup GS Statistics

Paired data
Difference in means
Statistics from a two-run women’s World Cup Giant Slalom race at Mont-Tremblant

Emilia Agostinelli


March 14, 2024


In World Cup Giant Slalom (GS), there are two runs. Only the thirty fastest racers take a second run. If a racer is disqualified (DSQ) or did not finish (DNF) their first run, they do not take a second run. The order for the first run is determined by taking all racers and ordering them by their World Cup points, from highest to lowest. From that, the top 30 racers are put into three groups. The best seven racers are randomly assigning them a bib 1-7. The next eight best competitors are randomly assigned a bib 8-15. The next best 15 racers are randomly assigned a bib 16-30. The remaining racers go in descending order of points. For the second run, competitors race in reverse order of their results on the first run, so the 30th fastest racer on the first run goes 1st on the second run and so on. This data set includes data from only the top thirty finishers as any racers who placed higher than 30th do not take a second run. Since this data includes information on 2 runs by the same competitor (unless they DSQ or DNF on the second run), it allows for exploration of paired data. We can also explore difference in means between the 2 runs to investigate if racers are on average faster or slower on a specific run. Finally, we can investigate if there are any associations between run order and results.

Data Preparation



Each of the 30 rows in this data set represents a racer, and there are 11 variables. There are a few missing values in the Run2_Time, Run2_Rank, Total_Time, and Rank_Diff columns due to racers not finishing their first run.

Variable Description
Name Name of the racer
Nat Country the racer represents
Run1_Order Start order for the first run
Run1_Time Time for run 1 in seconds
Run1_Rank Rankings of run 1
Run2_Order Start order for the second run
Run2_Time Time for run 2 in seconds
Run2_Rank Rankings of run 2
Total_Time Combined time of runs 1 and 2
Final_Rank Final results
Rank_Diff Difference between run 1 rank and final rank


  1. Is there a significant difference in average time between run 1 and run 2? If yes, do racers on average go faster or slower on the second run? What could account for that?

  2. Is run order for run 2 associated with final results?


The data was scraped from the following link:

FIS World Cup Women’s GS at Tremblant