On the draft screen, and I'm guessing it's the same on the team analysis screen, it looks like the values are being summed to give team-level category values. Does this make sense? Aside from square root terms not being additive, after just 4 rounds of a mock draft, my team-level HR value score is a 4, which would suggest I've drafted 99.997% more homeruns the rest of my league, but I'm pretty sure I could construct another team or two that met or exceeded a total value score of 4 for HRs.
It seems like a more appropriate (but probably not perfect) calculation would be to add all of the squared z-scores (subtract if the z-score was negative) and then take the square root of the (absolute value) sum to come up with an aggregate category value (and then slap the negative term back on, if necessary). That would sort of be like adding up all the HRs above/below the mean your team has drafted, and then converting back to a z-score to show you at the aggregate level how you compare to other hypothetical teams.
Also, are the z-scores for individual players based on my "relevant player pool size" or the entire pool? For example, we only start 9 hitters. So if I draft Albert Pujols, is his 2.23 z-score based on a population of the top 108 players (or let's say somewhere between 108 and 144 to account for bench spots), or the entire population of hitters in the hitter universe?
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