How to Calculate Beirut (Beer Pong) Statistics
Most beirut (beer pong) players think thier rules are the only correct set of rules. Most beirut (beer pong) players also think that they are an above average shooter, even though statistically about half of all players are below average shooters. While there is not one set of rules for beirut (beer pong), by tracking statistics of play, it can be determined which players are truly above average shooters. 


Contents:
Individual Statistics
These are statistics that can be tracked on an individual basis, independent of a teammates statistics.
NAME 
SYMBOL 
FORMULA 
DESCRIPTION 
Shots 
S 
 
Total number of shots taken. 
Hits 
H 
 
Total number of cups hit. 
Rims 
R 
 
Total number of shots that hit on top, or spun inside, of the rim of a cup without sinking. 
Errors 
E 
 
Total number of errors committed. 
Cups 
C 
 
Total number of cups in play, including overtime cups. 
Games Played 
G 
 
Total number of games played. 
Wins 
W 
 
Total number of games won. 
Hit Average 
H 
H ÷ S 
Hits per shots taken. 
Hit Percentage 
H% 
(H ÷ S) × 100 
Percentage of hits per shots taken. 
Rim Average 
R 
R ÷ (S  H) S > H
1  S = H 
Rims per shots that are not hits. If a player shoots a perfect game, then the number of shots would equal the number of hits. In this case R would be treated for statistics purposes as 1. 
Rim Percentage 
R% 
[R ÷ (S  H)] × 100  S > H
100  S = H 
Rims per shots that are not hits. If a player shoots a perfect game, then the number of shots would equal the number of hits. In this case R% would be treated for statistics purposes as 100%. 
Shots On Target 
T 
H + R 
Hits and rims. 
Target Percentage 
T% 
(T ÷ S) × 100 
Shots on target per shots taken. 
Cup Percentage 
C% 
(H ÷ C) × 100 
Cups hit per cups in play. C% is more useful than C because it takes overtime cups into account, and is comparable regardless of the number of cups in the initial setup of cups. 
Error Average 
E 
E ÷ G 
Average number of errors per game. 
Cup Average 
C 
H ÷ G 
Average number of cups hit per game. 
Winning Percentage 
W% 
(W ÷ G) × 100 
Wins per games played. 
Hits Rating 
r_{H} 
[(7 × H)  [3 × H^{2})] × 50 
Part of the function used to calculate SPR and SPR_{E}. 
Rims Rating 
r_{R} 
[(7 × R)  [3 × R^{2})] × 50 
Part of the function used to calculate SPR and SPR_{E}. 
Errors Rating 
r_{E} 
[(60 × E^{2})  (23 × E) + 2] × 100  E < 0.25
0  E > 0.25 
Part of the function used to calculate SPR_{E}. If E is greater than 0.25, then r_{E} is 0. 
Shooter Proficiency Rating 
SPR 
(r_{H} + r_{R}) ÷ 2 
Numeric representation for comparison of shooting proficiency. 100 is an average rating, 200 is the maximum, and 0 is the minimum 
Shooter Proficiency Rating (w/ Errors) 
SPR_{E} 
(r_{H} + r_{R} + r_{E}) ÷ 3 
Numeric representation for comparison of shooting proficiency. 100 is an average rating, 200 is the maximum, and 0 is the minimum 
Why aren't misses and losses included?
Misses are not included in the table above because hits and wins are.
Why aren't air balls included?
Air balls are not included in the table above because the rate of air balls will differ too much based on the dimensions of the table and the position of the cups on the table. If the table is too short, then the cups will tend to be placed very near to the end of the table, and any overthrow will be an air ball.
Also, a shot that hits short of the rim of the front cup might have been an air ball if the shot had missed by the same distance long. Subsequently, all shots that miss the rim must be considered air balls, which means an air ball is the same thing as a miss.
Why aren't last cups or one cups included?
Last cups are not included because one cups are equivalent to last cups in difficulty. One cups are not included because to determine that a one cup was truly intended to be the cup hit, the shooter should be required to shoot a called shot. If the shooter is required to hit a called shot, then all cups are of equal difficulty.
Don't all of the stats require called shots to be accurate?
Yes, for the stats to be a perfect reflection of the skill of a shooter, called shots should be required.
How was the formula for Shooter Proficiency Rating created?
The Shooter Proficiency Rating formula was created with logic similar to the Quarter Back Proficiency Rating used by the NFL. The formula is balanced to give 100 points for an average performance in each piece of the equation. For Hit Percentage (H%) and Rim Percentage (R%), 33% is assumed to be average or 100; 100% is the maximum or 200; and 0% is the minimum or 0. For Error Average (E), 0.05 (1 Error per 20 Games) is assumed to be average or 100; 0 is the maximum or 200; and anything greater than 0.25 (1 Error per 4 Games) is the minimum or 0.
Team Statistics
All of the individual stats listed above can also be tracked on a per team basis. In addition, the following stats can also be tracked.
NAME 
SYMBOL 
FORMULA 
DESCRIPTION 
Average Hit Margin (Partner) 
m_{PH} 
(H_{1}  H_{2}) ÷ G 
The average margin of hits by one player (H_{1}) in comparison to hits by their partner (H_{2}). 
Opponent Hits 
H_{O} 
 
Total number of cups hit by opposing teams. 
Average Hit Margin (Opponent) 
m_{OH} 
[H_{1} + H_{2}  H_{O}] ÷ G 
The average margin of victory in hits. 
Recording Results
When compiling statistics, the detailed results of each game are required. Each team should be given a sheet of paper on which to record the results of each shot. After the game, the stats sheets should be compared and any discrepancies should be reconciled.
The following table is an example of an empty stat sheet for a single game. Player 1 and Player 2 are one team, and Player 3 and Player 4 are the opposing team.
Player 1 


























Player 2 


























Player 3 


























Player 4 


























The results of each shot can be represented using the following symbols: X for a Hit; / for a Miss; Ø for a Rim; and  for any turn that a player did not shoot, when playing 2 Ball Beirut (Beer Pong). Also, an E should be placed at the end of a row to indicate that a player has committed an Error.
Example 1
The following is an example of a completed game of 6 Cup Beirut (Beer Pong), played with 1 ball.
Player 1 
X 
 
/ 
 
Ø 
 
Ø 
 
X 
 
 















Player 2 
 
X 
 
Ø 
 
X 
 
/ 
 
X 
Ø 















Player 3 
/ 
 
X 
 
X 
 
X 
 
Ø 
 
 















Player 4 
 
Ø 
 
Ø 
 
X 
 
X 
 
X 
 















In this example, Players 3 and 4 win the game. Player 4 hit the last cup and Player 2 opted to take the redemption shot, but missed.
Example 2
The following is an example of a completed game of 6 Cup Beirut (Beer Pong), played with 2 balls.
Player 1 
X 
Ø 
 
X 
X 
/ 
Ø 



















Player 2 
Ø 
/ 
 
Ø 
X 
Ø 
X 



















Player 3 
/ 
X 
Ø 
/ 
 
/ 
/ 


















E 
Player 4 
X 
X 
Ø 
X 
 
/ 
X 



















In this example, Players 1 and 2 win the game. Each team was able to double up once, and skip the opposing team's turn. At some point during the game, Player 3 committed an Error, so Players 1 and 2 only needed to hit 5 cups to win. Subsequently when calculating stats for this game, Players 1 and 2 would have Cups (C) valued at 5 instead of 6. Player 4 made his redemption shot, but Player 3 missed his.
Example 3
The following is an example of a completed game of 6 Cup Beirut (Beer Pong), played with 2 balls.
Player 1 
Ø 
X 
Ø 
/ 
X 
/ 
Ø 
 
X 
X 
X 
X 














Player 2 
/ 
Ø 
Ø 
X 
X 
/ 
/ 
 
Ø 
 
 
Ø 














Player 3 
/ 
Ø 
/ 
/ 
 
X 
X 
Ø 
/ 
X 
/ 
Ø 














Player 4 
/ 
X 
Ø 
X 
 
Ø 
X 
Ø 
X 
/ 
Ø 
/ 














In this example, Players 1 and 2 again win the game. Each team was able to double up once, and skip the opposing team's turn. No Errors were committed, but Player 1 hit 2 redemption shots, and then the final cup in overtime to win. Subsequently when calculating stats for this game, all players would have Cups (C) valued at 8 instead of 6.
Calculating Statistics
The form below is provided to make it easier to calculate statistics. Results for the examples shown above can be loaded into the form for demonstration purposes.