1. Learn
    2. /
  2. Courses
    3. /
  3. Case Studies in Statistical Thinking

Exercise

ECDF of improvement from low to high lanes

Now that you have a metric for improvement going from low- to high-numbered lanes, plot an ECDF of this metric. I have put together the swim times of all swimmers who swam a 50 m semifinal in a high numbered lane and the final in a low numbered lane, and vice versa. The swim times are stored in the NumPy arrays swimtime_high_lanes and swimtime_low_lanes. Entry i in the respective arrays are for the same swimmer in the same event.

Instructions

100 XP
  • Compute the fractional improvement for being in a high-numbered lane for each swimmer using the formula from the last exercise. Store the result in the variable f.
  • Compute the x and y values for plotting the ECDF.
  • Plot the ECDF as dots.
  • Label the x-axis 'f', y-axis 'ECDF', and show the plot.