Main Article Content
The purpose of the work is to develop and substantiate a mathematical model that describes the statistical dependence of the results on the weight of the athlete's body.
The analysis of results in the powerlifting total of powerlifters (520 people) and data about their bodyweight according to the materials of IPF World Men's Open Championships for the years 2012 to 2016 was carried out. The mathematical and statistical processing of the materials of the study was conducted and creation of logarithmic regression model based on the least squares method. It is shown that the relationship between the results of competitions in powerlifting and powerlifters bodyweight is best described by the log-linear function. Methods of finding the coefficients of this function are given here. It is proposed to convert powerlifters’ competitive results into conventional values with the help of logarithmic coefficients, calculated on the basis of data of previous competitions.
The application of a logarithmic coefficient for calculating relative results in competitions in powerlifting allows to objectively choose the winners in the overall score.
Bal, BS & Yadav, S & Sinha, A. Comparison of the relative strength among the different weight categories of power lifters. J of Physical Education & Sport/Citius Altius Fortius 27: 126-130, 2010.
Ball, R & Weidman, D. Analysis of USA Powerlifting federation data from January 1, 2012 - June 11. J Strength Cond Res 2016.
Batterham, AM, Keith, PG. Allometric modeling does not determine a dimensionless power function ratio for maximal muscular function. J of Applied Physiology 83.6: 2158-2166, 1997.
Bishop, PA, Williams, TD, Heldman, AN, Vanderburgh, PM. A System for Evaluating Powerlifting and Other Multi-Event Performances. J Strength Cond Res, 2017.
Carlberg, C. Regression analysis Microsoft Excel. Indianapolis: Pearson Education, Inc, 2016.
Cleather, DJ. Adjusting powerlifting performances for differences in body mass. J Strength Cond Res 20: 412-421, 2006.
Demidovich, BP, Maron, IA, Shuvalova, EZ. Chislennyye metody analiza. Priblizheniye funktsiy, differentsial'nyye i integral'nyye uravneniya. SPb: Lan', 2010.
Dooman, CS, Vanderburgh, PM. Allometric modeling of the bench press and squat: who is the strongest regardless of body mass? J Strength Cond Res 14: 32-36, 2000.
Evangelista, AL, Charro, MA, Feriani, DJ, Lopes, CR, Bocalini, DS, Prestes, J, Junior AF. Powerlifting: Entendendo a modalidade. J Revista Brasileira de Ciência e Movimento 23.4: 179-191, 2015.
Haleczko, A. New formula of conversion the results in olympic weightlifting. Antropomotoryka. J of Kinesiology and Exercise Sciences 67.24: 11-20, 2014.
Haleczko, A. New procedure for equalization of powerlifting results. Antropomotoryka. J of Kinesiology and Exercise Sciences 69.25: 55-64, 2015.
Haleczko, AL, Korzewa, EM. New formula for the selectionof the best competitorin the bench press. Antropomotoryka. J of Kinesiology and Exercise Sciences 75.26: 13-22, 2016.
Keogh, JW & Hume, PA & Pearson, SN, Mellow, PJ. Can absolute and proportional anthropometric characteristics distinguish stronger and weaker powerlifters? J Strength Cond Res 23: 2256-2265, 2009.
Kotendzhy, LV & Stetsenko, AI. The result's dynamic of winners of men's open world powerlifting championships. J Pedagogics, Psychology, Medical-Biological Problems of Physical Training and Sports 6: 75-79, 2009.
Kotendzhy, LV. Historical and Social aspects of the world powerlifting. Dissertation for a candidate degree in physical education and sport. Dnipropetrovsk State Institute of Physical Culture and Sports, 2012.
Ledder, G. Mathematics for the life sciences: calculus, modeling, probability and dynamical systems. New York: Springer Science & Business Media, 2013.
Marković, G & Sekulić, D. Modeling the influence of body size on weightlifting and powerlifting performance. J Collegium Antropologicum, 30: 607-613, 2006.
Rawlings, JO & Pantula, SG & Dickey, DA. Applied regression analysis: a research tool. Springer Science & Business Media, 2001.
Schwartz, LH. Reflections on strength, gender, and lifting formulas. J Iron Game History 4: 30-32, 2005.
Sinclair, RG. Normalizing the performances of athletes in Olympic weightlifting. Canadian Journal of Applied Sport Sciences. Journal Canadien des Sciences Appliquees au Sport 10.2: 94-98, 1985.
Spiegel, MR & Lipschutz, S & Liu, J. Mathematical handbook of formulas and tables. New York: McGraw Hill, 2013.
Starodubtsev, M. O sisteme otsenki rezul'tatov v muzhskom pauerliftinge. J Olimp 2: 18-21, 1993.
Stetsenko, AI. Joint Sport Classification of Ukraine and ranking standards in powerlifting. J Pedagogics, Psychology, Medical-Biological Problems of Physical Training and Sports 1: 114-118, 2010.
Terskikh, VM. Method for determination of absolute winner in competitions in powerlifting and weightlifting. J Uchenye Zapiski Universiteta imeni P.F. Lesgafta 5: 161-167, 2017.
Vanderburgh, PM, Batterham, AM. Validation of the Wilks powerlifting formula. J Med Sci Sports Exerc 31: 1869-1875, 1999.
Vazhenin, A. Massa tela i myshechnaya massa tela eto ne sinonimy: J Olimp 2-3: 16-17, 1999.
Walpole, R.E, Myers, RH, Myers, SL, Ye, K. Probability and statistics for engineers and scientists. New York: Macmillan, 1993.
Westermann, T. Mathematische Probleme lösen mit MAPLE: ein Kurzeinstieg. Springer-Verlag, 2014.
Ye, X, Loenneke, JP, Fahs, CA, Rossow, LM, Thiebaud, RS, Kim, D, Bemben, MG, Abe, T. Relationship between lifting performance and skeletal muscle mass in elite powerlifters. J Sports Med 53: 409-414, 2013.
Zatsiorskiy, VM. Fizicheskiye kachestva sportsmena: osnovy teorii i metodiki vospitaniya. M: Sovetskiy sport, 2009.