Statistical Methods to Reduce the Effects of Measurement Error in Sport and Exercise
A Guide for Practitioners and Applied Researchers
Keywords:Confidence interval, Regression, Autoregressive, typical error
Quantifying uncertainty in measurements is essential to inform, monitor and evaluate interventions in sport and exercise. Many commonly used tests, particularly those that measure maximum performance or fitness exhibit large measurement errors creating uncertainty that complicates interpretations and decision making. Uncertainty in measurements can be especially problematic where expected changes across an intervention are relatively small. The purpose of the present review is to describe statistical approaches to reduce uncertainty in measurements and therein improve interpretation and decision making. These approaches include increased data collection and the use of relatively simple calculations including means and linear regression to reduce uncertainty. The review provides detailed information on the assumptions underlying each approach and the relevant statistical properties. Visuals and worked examples including R code are provided to solidify concepts and better enable practitioners and applied researchers to adopt the approaches.
Bernards JR, Sato K, Haff GG, Bazyler CD. Current research and statistical practices in sport science and a need for change. Sports. 2017 Nov 15;5(4):87. https://doi.org/10.3390/sports5040087.
Copay AG, Subach BR, Glassman SD, Polly Jr DW, Schuler TC. Understanding the minimum clinically important difference: a review of concepts and methods. The Spine Journal. 2007 Sep 1;7(5):541-6. https://doi.org/10.1016/j.spinee.2007.01.008.
Cormack SJ, Newton RU, McGuigan MR, Doyle TL. Reliability of measures obtained during single and repeated countermovement jumps. International journal of sports physiology and performance. 2008 Jun 1;3(2):131-44. https://doi.org/10.1123/ijspp.3.2.131.
Ferreira, M.L., Herbert, R.D., Ferreira, P.H., Latimer, J., Ostelo, R.W., Nascimento, D.P. and Smeets, R.J., 2012. A critical review of methods used to determine the smallest worthwhile effect of interventions for low back pain. Journal of clinical epidemiology, 65(3), pp.253-261. https://doi.org/10.1016/j.jclinepi.2011.06.018.
Greig L, Stephens Hemingway BH, Aspe RR, Cooper K, Comfort P, Swinton PA. Autoregulation in resistance training: addressing the inconsistencies. Sports medicine. 2020 Nov;50(11):1873-87. https://doi.org/10.1007/s40279-020-01330-8.
Hall KD, Kahan S. Maintenance of lost weight and long-term management of obesity. Medical Clinics. 2018 Jan 1;102(1):183-97. https://doi.org/10.1016/j.mcna.2017.08.012.
Harvey LA. A minimally important treatment effect is a key but elusive concept. Spinal Cord. 2019 Feb;57(2):83-4. https://doi.org/10.1038/s41393-019-0241-0.
Hopkins WG. Measures of reliability in sports medicine and science. Sports medicine. 2000 Jul;30(1):1-5. https://doi.org/10.2165/00007256-200030010-00001.
Hopkins WG. How to interpret changes in an athletic performance test. Sportscience. 2004 Jan 1;1-7. https://www.sportsci.org/jour/04/wghtests.htm
Maughan RJ, Burke LM, Dvorak J, Larson-Meyer DE, Peeling P, Phillips SM, Rawson ES, Walsh NP, Garthe I, Geyer H, Meeusen R. IOC consensus statement: dietary supplements and the high-performance athlete. International journal of sport nutrition and exercise metabolism. 2018 Mar 1;28(2):104-25. doi: https://doi.org/10.1136/bjsports-2018-099027.
Mengersen KL, Drovandi CC, Robert CP, Pyne DB, Gore CJ. Bayesian estimation of small effects in exercise and sports science. PloS one. 2016 Apr 13;11(4):e0147311. https://doi.org/10.1371/journal.pone.0147311.
Myers ND, Ahn S, Jin Y. Sample size and power estimates for a confirmatory factor analytic model in exercise and sport: A Monte Carlo approach. Research quarterly for exercise and sport. 2011 Sep 1;82(3):412-23. https://doi.org/10.1080/02701367.2011.10599773.
Oliver JM, Jagim AR, Sanchez AC, Mardock MA, Kelly KA, Meredith HJ, Smith GL, Greenwood M, Parker JL, Riechman SE, Fluckey JD. Greater gains in strength and power with intraset rest intervals in hypertrophic training. The Journal of Strength & Conditioning Research. 2013 Nov 1;27(11):3116-31. https://doi.org/10.1519/JSC.0b013e3182891672.
Swinton PA, Hemingway BS, Saunders B, Gualano B, Dolan E. A statistical framework to interpret individual response to intervention: paving the way for personalized nutrition and exercise prescription. Frontiers in Nutrition. 2018 May 28;5:41. https://doi.org/10.3389/fnut.2018.00041.
Tang J, Landes RD. Some t-tests for N-of-1 trials with serial correlation. Plos one. 2020 Feb 4;15(2):e0228077. https://doi.org/10.1371/journal.pone.0228077.
Taylor KL, Hopkins WG, Chapman DW, Cronin JB. The influence of training phase on error of measurement in jump performance. International Journal of Sports Physiology and Performance. 2016 Mar 1;11(2):235-9. https://doi.org/10.1123/ijspp.2015-0115.
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