Sinclair Coefficients
Encyclopedia
The Sinclair Coefficients are a means to compare different weight classes in olympic weightlifting.
There are eight bodyweight categories for male athletes: 56 kg, 62 kg, 69 kg, 77 kg, 85 kg, 94 kg, 105 kg and +105 kg, and seven for female athletes: 48 kg, 53 kg, 58 kg, 63 kg, 69 kg, 75 kg and +75 kg.
There are also two types of lifts: snatch
, and clean and jerk
. However, at the championships, medals are presented in both lifts separately, and in total (the combined result of the best snatch and the best clean and jerk).
To compare and rank the results, especially between bodyweight categories, the International Weightlifting Federation
uses the Sinclair Coefficients which are derived statistically and calculated for one Olympic cycle (for four years, starting in the Spring of each Olympic year).
The total for each bodyweight category is a projection of the Total for that weightlifter if he/she were a competitor in the heaviest bodyweight category with the same level of ability. It is done in four body weight categories for the males (56 kg, 69 kg, 77 kg, +105 kg). For the other four categories (62 kg, 85 kg, 94 kg, 105 kg) the Sinclair Total represents the World Standard because nobody has lifted the predicted total. Those projections using the Sinclair Total are shown below.
The Sinclair Coefficient is
if x<b where x is the weightlifter's bodyweight, b is the world record holder's bodyweight (in the heaviest category) and A is the coefficient for this Olympic cycle, or 1.0 if x≥b.
Then, the Sinclair Total is simply the obtained total multiplied by the Sinclair Coefficient.
For example, in 2008, a calculation of the Sinclair Coefficient might look like this:
To understand the whole idea, here is the chart with all male bodyweight categories (in kg) and its world record Totals, Sinclair Coefficients, and Sinclair Total. By looking at the Sinclair Total we can determine the RANK. * denotes a World Standard rather than a world record.
There are eight bodyweight categories for male athletes: 56 kg, 62 kg, 69 kg, 77 kg, 85 kg, 94 kg, 105 kg and +105 kg, and seven for female athletes: 48 kg, 53 kg, 58 kg, 63 kg, 69 kg, 75 kg and +75 kg.
There are also two types of lifts: snatch
Snatch (weightlifting)
The snatch is one of the two olympic weightlifting events .The essence of the event is to lift a barbell from the platform to locked arms overhead in a smooth continuous movement. The barbell is pulled as high as the lifter can manage at which point the barbell is flipped overhead...
, and clean and jerk
Clean and jerk
The clean and jerk is one of the two Olympic weightlifting events .The clean portion of the lift refers to the lifter explosively pulling the weight from the floor to a racked position across deltoids and clavicles...
. However, at the championships, medals are presented in both lifts separately, and in total (the combined result of the best snatch and the best clean and jerk).
To compare and rank the results, especially between bodyweight categories, the International Weightlifting Federation
International Weightlifting Federation
The International Weightlifting Federation , headquartered in Budapest, is the international governing body for the sport of Olympic weightlifting.The IWF was founded in 1905, and has 187 member nations. The IWF president is Dr...
uses the Sinclair Coefficients which are derived statistically and calculated for one Olympic cycle (for four years, starting in the Spring of each Olympic year).
The total for each bodyweight category is a projection of the Total for that weightlifter if he/she were a competitor in the heaviest bodyweight category with the same level of ability. It is done in four body weight categories for the males (56 kg, 69 kg, 77 kg, +105 kg). For the other four categories (62 kg, 85 kg, 94 kg, 105 kg) the Sinclair Total represents the World Standard because nobody has lifted the predicted total. Those projections using the Sinclair Total are shown below.
The Sinclair Coefficient is
if x<b where x is the weightlifter's bodyweight, b is the world record holder's bodyweight (in the heaviest category) and A is the coefficient for this Olympic cycle, or 1.0 if x≥b.Then, the Sinclair Total is simply the obtained total multiplied by the Sinclair Coefficient.
For example, in 2008, a calculation of the Sinclair Coefficient might look like this:
A=0.845716976 for males
A=1.316081431 for females
b=168.091 kg for males
b=107.844 kg for females
Assume that we are assessing a male weightlifter weighing 56 kg with a total of 305 kg.
Then, x=56 kg, and we have
X=log10(x/b)=log10(56/168.091)=-0.477356434
A(X^2)=0.845716976*(-0.477356434)^2=0.845716976*0.227869165=0.192712821
10^(A(X^2))=10^0.192712821=1.558521584
Sinclair Total = Actual Total x S.C. = 305 kg x 1.558521584 = 475.349 kg
To understand the whole idea, here is the chart with all male bodyweight categories (in kg) and its world record Totals, Sinclair Coefficients, and Sinclair Total. By looking at the Sinclair Total we can determine the RANK. * denotes a World Standard rather than a world record.
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