Chris Arnett, X-steppers
Game || Minutes || HGS || Norm HGS
1.1 || 0 || 0 0.0
1.2 || 0 || 0 0.0
2.1 || 0 || 0 0.0
2.2 || 35 || 15.1 || 17.3
3.1 || 33 || 12.7 || 15.4
3.2 || 33 || 19 || 23.0
4.1 || 36 || 13.5 || 15.0
4.2 || 25 || 10.6 || 13.6
5.1 || 38 || 12.3 || 12.9
5.2 || 38 || 12.6 || 13.3
6.1 || 38 || 13.9 || 14.6
6.2 || 35 || 11.5 || 13.1
7.1 || 0 || 0 || 0.0
8.1 || 25 || 15 || 19.2
8.2 || 39 || 11.1 || 11.4
9.1 || 33 || 22.4 || 27.2
9.2 || 37 || 11.6 || 12.5
10.1 || 31 || 13 || 13.4
10.2 || 34 || 16.4 || 19.3
11.1 || 36 || 17.3 || 19.2
11.2 || 33 || 16.5 || 20.0
12.1 || 33 || 12.5 || 15.2
Arnett was very consistent. He may have averaged a 12, 9 but those are only two categories that play a part in the Hollinger Game Score. His HGS scores were measured against those that fell in the same group (explained below) and then normalized to show a comparison. After normalization, I then rank Groups A, B, and C against each other with minutes having no impact on which group is ranked higher than the other.
Group A consists of players that ranged from 42 to 48 minutes
Group B consists of players that ranged from 34 to 41 minutes
Group C consists of players that ranged from 27 to 33 minutes
A player in any Group would have his HGS divided by the minutes he played then multiplied by the maximum minutes he could have played within that group. i.e. Player 1 played 36 minutes and scored an HGS of 11.4. His HGS per minute would be 0.317 and he would fall within Group B. His normalized HGS would come out to 12.997, or a flat 13.0 HGS.
The kicker is that despite his HGS only rising to 13.0, he could still rank higher than a player that played the full 48 minutes because after hours of analysis, I feel confident that the amount of minutes does not have a direct impact on the players final HGS score at the end of each game. However, I feel confident enough to also say that minutes do matter on a player-by-player basis as some players play better playing more or less minutes but only a lengthly analysis project could deduce which players require what amount of minutes for maximum potential per game.
PS. In case anyone is wondering, the 1.1, 1.2, 2.1, 2.2, 3.1, etc., refers to an individual game and considering that there are 2 games during a weekly schedule that begins on Saturday and ends on Friday with the exception of 7.1 (Saturday game followed by All-Star Break) and 12.1 (Saturday game, final game of regular season), it seemed only fitting to label games in the said manner since my initial idea was to create a way to determine Players of the Week.