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.
This exercise is part of the course
Case Studies in Statistical Thinking
Exercise instructions
- 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.
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
# Compute the fractional improvement of being in high lane: f
f = (____ - ____) / ____
# Make x and y values for ECDF: x, y
# Plot the ECDFs as dots
# Label the axes and show the plot