Based on ideas from previous threads on this topic (
tight pockets thread and
pocket answers thread), and based discussion in the
Billiard University (BU) thread concerning how to account for table difficulty in scoring and rating drills like the
BU Exams, I decided to create a system for determining how difficult a table plays (based on table and pocket geometry only). It is described in detail in the
Table Difficulty Factor (TDF) document, which is convenient if you want a printed copy.
Here's how it works:
The
Table Difficulty Factor (TDF) is a percentage measure of how difficult or easy a particular table plays. It is based on table size and the three corner-pocket measurements illustrated below. If the cushion is not 2” (5.1cm) thick, measure the throat size 2” (5.1 cm) back from the cushion noses. You can lay down Post-It Notes or masking tape to better define the lines and intersection points to help with the mouth and throat measurements. The pocket shelf depth should be measured from the pocket mouth line to the slate top lip edge (where the pocket opening first starts).
Four factors are used to account for table size, pocket size, pocket wall angle, and pocket shelf depth. Each factor is a number less than, equal to, or greater than 1, where 1 indicates average or standard. By multiplying the four factors, you get the TDF which is a good measure of table “toughness.” If TDF=1, the table has an average level of difficulty; if TDF>1, the table plays more difficult than average; and if TDF<1, the table plays easier than average.
The four factors are defined as follows:
The total
Table Difficulty Factor (TDF) is then calculated by multiplying the four factors:
TDF = TSF x PSF x PAF x PLF
The TDF can be used to adjust numbers from any scoring or rating system like the
Billiard University Exams,
“playing the ghost” drills, the
Hopkins Q Skills drill, or the
Fargo rating drill. An effective score, taking table difficulty into consideration, can be calculated with:
(effective score) = (raw score) x TDF
NOTE – The TDF and effective-score numbers should not be interpreted too literally since there are so many other factors that contribute to how difficult a table actually plays (cloth type and condition, ball conditions, pocket facing and shim properties, rail and cushion conditions, table levelness, humidity, etc.). Here’s a rough scale one can use to put the TDF factor in better perspective:
Here's an example of how the TDF system is used. Let’s say two players (“A” and “B”) got an identical
Billiard University (BU) score of 130. Player “A” took the exams on a fairly easy table with the following measurements:
Table “A”
table size = 8’, mouth = 5”, throat = 4 1/2”, (mouth-throat) = 1/2”, shelf = 1 3/8”
TDF = TSF x PSF x PAF x PLF = 0.90 x 0.95 x 0.98 x 0.98 = 0.82
Therefore, table “A” is about 18% easier than average (in the “very easy” range), and the effective BU score on this table would be about 130 x 0.82 = 107 (much lower than 130).
Player “B” took the exams on a fairly tough table with the following measurements:
Table “B”
table size = 9’, mouth = 3 7/8”, throat = 3 1/4”, (mouth-throat) = 5/8”, shelf = 1 7/8”
TDF = TSF x PSF x PAF x PLF = 1.00 x 1.20 x 1.00 x 1.03 = 1.24
Therefore, table “B” is about 24% more difficult than average (in the “very tough” range), and the effective BU score on this table would be about 130 x 1.24 = 161 (much higher than 130). This helps put the BU scores in better perspective based on table difficulty. Again, these numbers should not be taken too literally. They just help roughly compare scores on different tables.
I will be curious to see what you guys think, and I look forward to your suggestions and feedback.
Thank you,
Dave
_______________________________________
Data reported by AZB users in
table difficulty factor (TDF) order, based on the table size factor (TSF), pocket size factor (PSF), pocket angle factor (PAF), and pocket shelf factor (PLF):
name -- TSF -- PSF -- PAF -- PLF -- TDF
dr_dave -- 10':1.10 -- 4":1.15 -- 3/4":1.02 -- 1 7/8":1.03 --
1.33 (fictitious tough 10' table example)
MahnaMahna -- 10':1.10 -- 5 1/2":0.85 -- 2":1.15 -- 2 1/2": 1.15 --
1.24 (snooker table poorly converted into a pool table)
dr_dave -- 9':1.00 -- 3 7/8":1.20 -- 5/8":1.00 -- 1 7/8":1.03 --
1.24 (fictitious example "B")
Bonus Ball -- 9':1.00 -- 3 7/8":1.20 -- 1/8":0.97 -- 3/4":0.98 --
1.14 (Bonus Ball table)
Bob Dixon -- 9':1.00 -- 4":1.15 -- 1/2":0.98 -- 1 3/8":0.99 --
1.12 ("money table" Diamond at Pool Sharks in Vegas)
Qaddiction -- 9':1.00 -- 4 1/8":1.10 -- 3/4":1.02 -- 1 3/8":0.99 --
1.11 (Diamond)
rexus31 -- 9':1.00 -- 4":1.15 -- 3/8":0.98 -- 1":0.98 --
1.10 (mid to late 50's AMF Commercial Model similar to a Brunswick Anniversary/Sport King)
FatBoy -- 9':1.00 -- 4":1.15 -- 1/4":0.97 -- 1":0.98 --
1.09 (Ernesto-Dominguez-modified Brunswick Gold Crown)
TATE -- 9':1.00 -- 4":1.15 -- 1/4":0.97 -- 7/8":0.98 --
1.09 (Ernesto-Dominguez-modified Brunswick Gibson)
cigardave -- 9':1.00 -- 4 1/2":1.00 -- 1":1.08 -- 1 3/4":1.00 --
1.08 (typical Pro-Cut Diamond)
dr_dave -- 9':1.00 -- 5": 0.95 -- 1 1/8":1.14 -- 1 3/8":0.98 --
1.06 (old Brunswick Gold Crown II)
Sloppy Pockets -- 8'+:0.95 -- 5":0.95 -- 1 1/8":1.14 -- 1 3/4":1.00 --
1.03 (league table)
SloMoHolic -- 9':1.00 -- 4 1/2":1.00 -- 7/8":1.04 -- 1 3/8":0.98 --
1.02 (2005 Diamond Pro with ProCut pockets and Red-label rails)
dzcues -- 9':1.00 -- 5":0.95 -- 15/16":1.08 -- 1 1/2":0.98 --
1.01 (Gandy Big G)
dzcues -- 9':1.00 -- 4 7/8":0.95 -- 11/16":1.02 -- 1 15/16":1.03 --
1.00 (typical League-Cut Diamond)
"standard" table -- 9':1.00 -- 4 7/16":1.00 -- 9/16":1.00 -- 1 5/8":1.00 --
1.00 (WPA spec "standard")
oldschool1478 -- 9':1.00 -- 4 1/2":1.00 -- 5/8":1.00 -- 1 3/4:1.00 --
1.00 (updated Red Badge Diamond Pro)
Kelly_Guy -- 9':1.00 -- 4 1/2":1.00 -- 1/2":0.98 -- 1 5/8":1.00 --
0.98 (Antique Brunswick Jefferson, circa 1900)
JC -- 9':1.00 -- 4 7/16":1.00 -- 9/16":1.00 -- 1 3/8":0.98 --
0.98 ("Cobrasized" Brunswick Gold Crown III)
BryanB -- 9':1.00 -- 4 1/2":1.00 -- 3/4":1.02 -- 1 1/4":0.95 --
0.97 (1931 Brunswick with double shimmed pockets)
mamics -- 9':1.00 -- 4 11/16":0.98 -- 7/8":1.04 -- 1 3/16":0.95 --
0.97 (no-name "Chinese Cheapie" with Uylin cushions)
12squared -- 9':1.00 -- 4 7/8":0.95 -- 3/4":1.02 -- 1 1/2":0.98 --
0.95 (typical Brunswick Gold Crown)
rexus31 -- 9':1.00 -- 4 1/16":1.05 -- 1/4":0.95 -- 3/4":0.95 --
0.95 (rexus31's friend's Brunswick Gold Crown)
Neil -- 7':0.85 -- 4 1/8":1.10 -- 5/8":1.00 -- 1 3/8":0.99 --
0.93 (modified Valley "bar box")
iusedtoberich -- 9':1.00 -- 5 1/8":0.90 -- 1":1.06 -- 1 1/2":0.98 --
0.93 ("loose" Brunswick Gold Crown)
MSchaffer -- 9":1.00 -- 5 1/10":0.90 -- 3/4":1.02 -- 1 3/4":1.00 --
0.92 (Brunswick Gold Crown II)
mfinkelstein3 -- 9':1.00 -- 5 1/8":0.90 -- 7/8":1.03 -- 1 1/2": 0.97 --
0.90 ("loose" Brunswick Gold Crown III)
Vahmurka -- 9':1.00 -- 5 1/8":0.90 -- 7/8":1.03 -- 1 1/2": 0.97 --
0.90 (Brunswick Centurion)
SloMoHolic league table -- 8':0.90 -- 4 3/4":0.98 -- 3/4":1.02 -- 1 5/8":1.00 --
0.90 (old Brunswick Medalist)
BRussell -- 8':0.90 -- 5":0.95 -- 13/16":1.04 -- 1 1/2":0.98 --
0.87 (Olhausen)
Dopc -- 8':0.90 -- 4 1/2":1.00 -- 3/4":1.02 -- 1 1/4":0.95 --
0.87 (unknown)
dr_dave -- 8':0.90 -- 4 3/4":0.98 -- 5/8":1.00 -- 1 3/8":0.98 --
0.86 (Connelly)
dr_dave -- 8':0.90 -- 5":0.95 -- 1/2":0.98 -- 1 3/8":0.98 --
0.82 (fictitious example "A")
Mooneye -- 7':0.85 -- 4 3/4":0.98 -- 3/4":1.02 -- 1 1/2":0.97 --
0.82 (Brunswick "bar box")
SloMoHolic -- 6':0.85 -- 4.5":1.00 -- 0":0.95 -- 5/8":0.95 --
0.77 (old 6' Valley "bar box")
dzcues -- 7':0.85 -- 4 1/2":1.00 -- 0":0.94 -- 1/2":0.95 --
0.76 (Valley "bar box")
dr_dave -- 7':0.85 -- 4 1/2":1.00 -- 0":0.94 -- 3/4":0.95 --
0.76 (typical Valley/Dynamo "bar box")