The Sinclair Coefficients for the Olympiad
The Sinclair Coefficients for the Olympiad January 1, 2005 to December 31, 2008
For Men's and Women's Olympic Weightlifting
The Sinclair coefficients are calculated in the Spring of each Olympic year. They are
derived statistically and are based on the World Record Totals in the various bodyweight classes as of December 31 of the previous several years.
The Answer to the question "What would be the total of an athlete weighing x kg if he/she
were an athlete in the heaviest class of the same level of ability?" is given by the formula:
Comments
"An Olympic medal makes me walking on all four!" - Ruth Ogbeifo (NGR) |
I. The formulas given above are suitable for either a calculator or a computer. In words, they state that the Sinclair Coefficient is 10 raised to the exponent A times X squared if his/her bodyweight of x kg is less than or equal to b kg (where X equals the logarithm to the base 10 of the ratio of x to b) and is equal to 1 if his/her bodyweight of x kg exceeds b kg.
As an example, suppose a male athlete weighing 83.5 kg has a total of 390 kg. For him:
A = 0.845716976
X = log10(83.5/168.091) = -0.303857985
AX 2 = 0.070774874047
S.C. = 10 AX2 = 10 0.070774874047 = 1.196974
Sinclair Total = Actual Total x S.C.
Sinclair Total = 390 kg x 1.196974 = 466.820 kg
II. In addition to the above, two tables are given, one for men and one for women. In each table, the athlete's bodyweight, x kg, appears in the first column and the Sinclair coefficient in the second. As noted above, the Sinclair Coefficients are derived statistically and are based on the World Record Totals (and for the men the World Standard Totals in four body weight classes) of athletes in the prime of life, that is, mainly in their twenties, early thirties or late teens. This implies that the athlete's bodyweight, x kg, should not be too far below the upper limit for the lightest bodyweight class. Nevertheless, as a guideline for very young athletes who often are very light, the analytic curve 10 AX2 is extended to x = 32.0 for males and x = 28.0 for females.
III. Two graphs are appended, one for Men and one for Women. The branch of mathematics called Dimensional Analysis leads one to plotting, not the World Record Total y kg against the bodyweight class, x kg, but rather Y=log(y/240) against X=log(x/52) for men and Y=log(y/140) against X=log(x/44) for women. The "best-fit" parabola is then obtained statistically.
