It, and other terms, will become valuable tools in the upcoming season, and hopefully people in the fantasy community (besides myself) will find them interesting and helpful as well.
This article references fantasy points as scored by ESPN Standard Scoring.
STATISTICS TIME:
One interesting observation comes from comparing a player's top games (half of the games the player participated in, or his "average ceiling") versus his lowest-scoring games (the other half of the games the player participated in, or his "average floor").
The resulting differential shows the average variance between a poor showing and a great game: in other words, it is a "Consistency Differential" in fantasy football.
The smaller the resulting number, the more consistent the player's scores (on average).
EQUATION:
(the top half of a player's fantasy scores)/(half the games the player participated in) - (the bottom half of a player's fantasy scores)/(half the games the player participated in) = "Consistency Differential"
PROBLEM SOLVED:
When a player plays in an odd number of games, his median score (middle number) is divided in half, and each half of a player's fantasy scores (top and bottom) is divided by another half-game.
EXAMPLE 1:
David Johnson
(2016 season)He recorded a carry in every game last year, so we take the average of his lowest scoring eight games and the average of his highest scoring eight games to determine his average floor and average ceiling from last season: additionally, we will divide resulting numbers by 8.
In his lowest scoring games, he scored 26.1, 25.1, 23.2, 17.8, 17.3, 17.1, 14.4, and 7.4 points (listed from high-to-low scoring fantasy games).
If we average those scores out, his average floor during the 2016 season was ~18.6 points per game.
Additionally, if we do the same thing for his highest scoring games (38.5, 35, 34.8, 33.6, 33.5, 30.1, 27.1, 26.8), we discover that his average ceiling during the 2016 season was ~32.4 points per game.
Finally, if we subtract his average floor from his average ceiling, we discover that his "Consistency Differential" is approximately 13.8: this represents the average difference between his average floor and average ceiling in games he played in during the 2016 NFL season.
In the end, David Johnson's "Consistency Differential" for the 2016 season is ~13.8 point.
EXAMPLE 2:
Lamar Miller
(2016 season)He recorded a carry in 14 of 16 possible games, so we take the average of his lowest scoring seven games and the average of his highest scoring seven games to determine his average floor and average ceiling from last season: additionally, we will divide resulting numbers by 7.
Lowest-scoring games: 13.8, 11.7, 9.7, 8.5, 8.3, 3.4, and 2.8 points (listed from high-to-low scoring fantasy games).
Average floor during the 2016 season: ~8.5 points per game.
Highest-scoring games: 32.8, 19.3, 19.2, 16.9, 15.7, 14.7, and 14.3 points.
Average ceiling during the 2016 season: ~19 points per game.
Lamar Miller's "Consistency Differential" for the 2016 season is approximately 10.5 points.
EXAMPLE 3:
Tevin Coleman
(2016 season)He recorded a carry in 13 of 16 possible games, so we take the average of his lowest scoring six games and the average of his highest scoring six games, then use the "Problem Solved" equation to divide the middle game out and determine his average floor and average ceiling from last season: additionally, we will divide resulting numbers by 6.5.
Lowest-scoring games: 14.4, 9.3, 8.6, 6.3, 4.9, and 2.7 points (add half of the median to equation: 7.45).
Average floor during the 2016 season: ~8.25 points per game.
Highest-scoring games: 29.9, 26.3, 22.5, 19.5, 16.7, and 15.1 points (add half of the median to equation: 7.45).
Average ceiling during the 2016 season: ~21.15 points per game.
Tevin Coleman's "Consistency Differential" for the 2016 season is approximately 12.9 points.
WHAT IT MEANS:
The "Consistency Differential" equation produces a number, and the size of that number tells people how consistent (on average) players have been in past seasons of fantasy football.
Smaller numbers mean that on average, players have been more consistent in fantasy football than those with larger numbers.
Given the above examples, we can tell that Lamar Miller was, on average, more consistent than either David Johnson or Tevin Coleman in terms of scoring during the 2016 fantasy football season.
However, there are obvious limitations here: Johnson's average floor last season was nearly equivalent to Miller's average ceiling, and thus, Johnson was obviously a much safer pick than Miller.
APPLYING AVERAGES:
Averages, as a concept, are useful in fantasy football to determine more than just consistency: they can help determine opportunities, trends, and effectiveness of many players.
Consider the amount of opportunities the above three running backs got per game last season: to determine "Average Opportunity Ceiling", we take the half of the games in which a player touched the ball most and average them out.
Likewise, to determine "Average Opportunity Floor", we take the half of the games in which a player touched the ball least and average them out: the difference will be the "Opportunity Differential".
EXAMPLE:
David Johnson (2016 season)
He recorded a carry or reception in every game last year, so we will divide resulting numbers by 8.
Games with most touches: 41, 32, 30, 29, 27, 25, 25, and 24.
"Average Opportunity Ceiling" last season: ~29.125 touches per game.
Games with least touches: 22, 21, 21, 20, 17, 16, 15, and 8.
"Average Opportunity Floor" last season: ~17.5 touches per game.
David Johnson's "Opportunity Differential" for the 2016 season is approximately 12 touches per game: that is, the average difference between his "Average Opportunity Ceiling" and "Average Opportunity Floor".
SUMMATION:
This example shows that Johnson, on average, would record a carry or reception between approximately 18 and 29 times per game during the 2016 season.
Similarly to "Consistency Differential", a smaller "Opportunity Differential" is always better: in upcoming articles, I will compare the differentials of running backs and other positions.
