A first look at descriptive statistics on career yards for firstround and second round running backs.
Question One: How do average, median, the standard
deviation, and the skew of firstchoice and secondchoice career yards differ?
Data source: The data used for this problem can be found
at
Answer:
Information on career yards rushing for firstchoice picks
and secondchoice picks are presented below.
Descriptive Statistics
Career Yards Running


FirstChoice Picks

SecondChoice Picks

Diff.

% Diff.


Average Career Yards

6506

5254

1252

10.6%

Median Career Yards

4959

3952

1007

11.3%

Standard Deviation of
Career years

4978

4341

637

6.8%

Skew of Career Yards

0.46

1.27

1

47.1%

Average career yards rushing and median career yards rushing
are a bit more than 10% higher for firstchoice picks than for second choice
picks. The standard deviation of
firstchoice picks is around 7% higher than the standard deviation of
secondchoice picks. (I suspect that
the slightly higher standard deviation for firstchoice picks is largely
attributable to a larger number of stellar firstround choices.)
Second round picks are more highly skewed than first round
picks. (The higher skew of secondround
choices could be attributable to one outlier, Emmitt Smith. Also, the skew
coefficient of 0.46 for firstchoice picks suggests a relative modest positive
skew. The distribution for firstchoice
picks is not far from symmetric.)
My sense is that the difference in performance between
firstchoice end second choice running backs is relatively small but before I
reach firm conclusions I need to look at a much wider range of performance
statistics and compare to statistics from other positions.
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