If we analyze the data, we get a Q3 of 302.71 and a Q1 of 251.43. Subtracting the two gives us an interquartile range of 51.28. Multiply this by 1.5 to get 76.92.
302.71+76.92=379.63
251.43-76.92=174.51
According to this analysis, only Rodgers and Brees's 2011 seasons could statistically be deemed as outliers. The term is thrown around way too often without statistical backing. I think once we start realizing that these other top QB performances were NOT outliers, we will see that they are not so out of the realm of repeating. In fact, if we combine this data with the increasing trend in passing yards for the league, it COULD be deemed reasonable to EXPECT similar seasons this year (I certainly do). I am not saying whether or not this makes it a "good" play to draft a QB at the end of the first round. The game, after all, is about building a team. I just wanted to straighten out some of this statistical banter that's being thrown around.
And as an aside, we need to stop acting as though the league is not changing. The uptick in league passing is REAL. Saying that this or that cannot happen because it hasn't happened before or because it hasn't happened "often enough" represents a stance that is too closeminded in this changing fantasy game we play. Being creative, being willing to change and to accept change, is what's going to separate people from the pack this year.
Sorry, but you're too smart for me. What does the bolded mean? Can you explain in layman's terms?I think I've provided pretty good statistical backing, and the numbers you added above map out nearly identically to mine.
All I know is that I look at these numbers on a
chart, and 2011 sticks out like a sore thumb. We don't have to call it an outlier if I'm using the term improperly. We can call it a sore thumb if you want.
I also completely agree that the league is changing. That's why I said, "there has been a steady increase across all starting QBs production, year over year. Rising tide lifts all ships and all."
Here is another thread where we threw around a lot of numbers. Have a look and let me know what you think.
Sorry haha I should've explained. If you've never taken a stats course that part probably doesn't make any sense. Perhaps you have heard of percentiles? Like if you, or your children if you have them, take some kind of standardized test, they will sometimes put in the percent of scores that the test taker did better than. That's a percentile. That leads us into quartiles, which are just particular percentiles, specifically the 25th, 50th (commonly called the median), and 75th. In shorthand, we usually say Q1 to represent the first quartile (or 25th percentile) and Q3 to represent the 3rd (or 75th percentile). Statistically speaking, to find an outlier, you are supposed to subtract Q1 from Q3 to obtain what is called the interquartile range. Multiply this by 1.5 to obtain the number which will be used to find outliers. That result is added to Q3 and subtracted from Q1, giving a new "range" of data. Any number outside that range is deemed to be an outlier.
The "league is changing" comment was really just a passing thought that I've been having about all theses debates with regards to passing. It wasn't really aimed at you directly.
As far as the "rising tides lifts all ships" concept, I don't know if that really applies here. Yes, of course the increase in passing has been seen across the league. However, I think that as the overall numbers increase, the differences between top players and middle of the road players can become more significant. There are so many players clustered in the middle, that those few who stand out can make a big impact. The scoring numbers are now so high, that having a guy in the 9-12 range at QB is really no longer a value. In the past, committee QBs or players in the back end of the top 12 could reasonably be expected to compete with the top guys at different points. Right now, I don't believe that this is the case. Clearly we saw this last season, and I think that will be the trend for at least another year or two. Now as always, it still is a game of teambuilding, and perhaps that difference still does not merit taking a quarterback over other, thinner positions like RB.
Oh and another thing with that chart, I agree that the points you have highlighted stand out, but that doesn't mean that its unlikely they wont repeat. I would argue that having half of the top 12 standout would represent a possibly shift in outcomes and the start of a new trend rather than a "sore thumb" of an existing one.