Math With Jerome

Describing something as average is typically innocuous. But sometimes it can be deceiving. Take a look at the definition of average  and you'll see a typical amount , or  common ,  ordinary . When it comes to numbers and data it is also tied to what is called the  arithmetic mean   (sometimes just mean  for short) -- which is adding up a bunch of values and dividing by the number of values you have. Key questions here: When are these ideas in alignment and when does it fail? To help get to the bottom of this, at least from a statistical point of view, is to first talk about resistant statistics  -- which are summarizations of data that are not highly influenced by individual values. Let's also have  a quick reminder of  the  median   or  value that splits the data set into an upper and lower half when the data is ordered. The mean of a data set is not  resistant to extreme values, while the median  is, and w...

I'm back with a bunch of visualizations -- let's go! Time to dive back into more  starter-worthy  analysis.  If you missed my first post from a few weeks ago, I introduced what I call starter-worthy  scores for each individual position. Check out  my first post  to get all caught up. In short, I found point thresholds for each offensive  position that best separates starter-level production from the rest. Let's again dive into this by first looking at how often players are starter-worthy  based off of Average Draft Position,  and how that distribution changes by position.   Ah,  the good ol' ADP.  Play around with the bar graph below to get a better sense of where starter-worthiness  comes from in season-long drafts.  The bar graph shows, across the horizontal axis, the proportion (or percentage)  of games for each season shown (i.e. 16 games for 2015 to 2017, 9 games for 2018)  a player is starter-...

Let's get into what I'm going to call  starter-worthy production. If you're in a 12-team league, with the typical two RB slots to fill, then the top 24 running backs are typically deemed "starters." To get a sense of how things may go for you this week, you visit your favorite rankings site to check out where your guys fall in the top 20 to 30 players at the position. But what point production should you feel good about from those players? Can we find a point threshold that helps identify production worthy of being in your starting lineup? Let's take a look...   I'm defining starter-worthy production for each week as the top 24 scores for RB and WR, and the top 12 scores for QB and TE. The dataset consists of the top scores for each week including 50 for RB/WR, 18 for QB, and 20 for TE. The splits were needed for simplicity and don’t change the analysis. Looking at the visualization below, the blue histogram shows what starter-worthy produ...