Pensar en Movimiento: Revista de Ciencias del Ejercicio y la Salud ISSN Impreso: 1409-0724 ISSN electrónico: 1659-4436

OAI: https://revistas.ucr.ac.cr/index.php/pem/oai
Maximum heart rate prediction equations fail key external validation test
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Keywords

exercise tests
stress tests
health
pruebas de ejercicio
pruebas de esfuerzo
salud
testes ergométricos
testes de esforço
saúde

How to Cite

Portuguez Molina, P., & Aragón Vargas, L. F. (2023). Maximum heart rate prediction equations fail key external validation test. Pensar En Movimiento: Revista De Ciencias Del Ejercicio Y La Salud, 21(2), e54959. https://doi.org/10.15517/pensarmov.v21i2.54959

Abstract

Maximum heart rate equations (HRmax) have been used due to their easy availability and practicality, as compared to stress tests. However, the best-known equation, “220 – age”, shows low reliability and deviations of up to 12 beats/min. New formulae have been proposed, but they have not been correctly validated. The purpose of this study was to validate 7 prediction equations by using and independent data base. A data base of 634 subjects (474 men and 160 women) from 18–85 years of age, obtained within a health service developed at the University of Michigan from 1990–1992, has been used. The subjects performed a VO2max test in a treadmill, following a free protocol. A linear regression technique was used in which the appropriate equations were those that met the two hypotheses: slope = 1 and constant = 0. According to the results, none of the equations analyzed for the full sample accepted both hypotheses. When doing the analysis by sex, six of the equations met the two hypotheses for the women, but none of them for the men; and when the analysis was done by age group, 4 of the equations met the hypotheses for the group 40 years old or younger, but not for those above 40. The HRmax seems to be difficult to predict through a single equation. Therefore, it is recommended that, when a valid measure for this variable is needed, a stress test be used.

https://doi.org/10.15517/pensarmov.v21i2.54959
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References

American College of Sports Medicine. (2021). ACSM's Guidelines for Exercise Testing and Prescription (11th). Wolters Kluwer.

Aragón-Vargas, L. F., Schork, A. M., y Edington, D.W. (1993). Evaluation of conventional and new maximum heart rate prediction models for individuals. Medicine and Science in Sports and Exercise, 25(5), S10. https://www.kerwa.ucr.ac.cr/bitstream/handle/10669/8948/MHR-poster-1993b.pdf?sequence=1&isAllowed=y

Aragón-Vargas, L. F., Schork, A. M. y Edington, D. (2014). Evaluation of Conventional and New Maximum Heart Rate Prediction Models for Individuals. Repositorio Kerwá. Universidad de Costa Rica. http://www.kerwa.ucr.ac.cr/handle/10669/8948

Aragón-Vargas, L. F., Schork, A. M., y Edington, D. W. (2022). Base de datos para Evaluation of Conventional and New Maximum Heart Rate Prediction Models for Individuals. Repositorio Kérwá. Universidad de Costa Rica. https://www.kerwa.ucr.ac.cr/handle/10669/87278

Berrar, D. (2018). Cross-Validation. En: Encyclopedia of Bioinformatics and Computational Biology (Vol. 1, pp. 542-545). Elsevier. https://doi.org/10.1016/B978-0-12-809633-8.20349-X

Bouzas-Marins, J. C., y Delgado-Fernández, M. (2007). Empleo de ecuaciones para predecir la frecuencia cardiaca máxima en carrera para jóvenes deportistas. Archivos de medicina del deporte, 24(118), 112-120. https://archivosdemedicinadeldeporte.com/articulos/upload/Original_Ecuaciones_112_118.pdf

Bouzas-Marins, J. C., Delgado-Fernández, M., y Benito-Peinado, P. J. (2013). Precisión de las ecuaciones para estimar la frecuencia cardíaca máxima en cicloergómetro. Archivos de Medicina del deporte, 30(1), 14-20. https://femede.es/documentos/OR_01_ecuaciones.pdf

Bouzas-Marins, J. C., Ottoline-Marins, N. M., y Delgado-Fernández, M. (2010). Aplicaciones de la frecuencia cardiaca máxima en la evaluación y prescripción de ejercicio. Apunts. Medicina de l'Esport, 45(168), 251-258. https://www.apunts.org/es-aplicaciones-frecuencia-cardiaca-maxima-evaluacion-articulo-X0213371710873503

Cruz-Martínez, L. E., Rojas-Valencia, J. T., Correa-Mesa, J. F., y Correa-Morales, C. (2014). Maximum Heart Rate during exercise: Reliability of the 220-age and Tanaka formulas in healthy young people at a moderate elevation. Revista de la Facultad de Medicina, 62(4), 579-585. http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-00112014000400010

Engels, H., Zhu, W., y Moffatt, R. (1998). An Empirical Evaluation of the Prediction of Maximal Heart Rate. Research Quarterly for Exercise and Sport, 69(1), 94-98. https://doi.org/10.1080/02701367.1998.10607673

Fernhall, B. O., Mccubbin, J. A., Pitetti, K. H., Rintala, P. A. U. L. I., Rimmer, J. H., Millar, A. L., y De Silva, A. (2001). Prediction of maximal heart rate in individuals with mental retardation. Medicine & Science in Sports & Exercise, 33(10), 1655-1660. https://doi.org/10.1097/00005768-200110000-00007

Findley, M.G., Kikuta, K., y Denly, M. (2021). External Validity. Annual reviews, 24, 365-393. http://www.michael-findley.com/uploads/2/0/4/5/20455799/arps_2021_external-validity.pdf

Fox III, S.M. y Naughton, J. P. (1972). Physical activity and the prevention of coronary heart disease. Preventive Medicine, 1(1-2), 92-120. https://doi.org/10.1016/0091-7435(72)90079-5

Gellish, R. L., Goslin, B. R., Olson, R. E., McDonald, A., Russi, G. D., y Moudgil, V. K. (2007). Longitudinal modeling of the relationship between age and maximal heart rate. Medicine and Science in Sports and Exercise 39(5), 822-829. https://doi.org/10.1097/mss.0b013e31803349c6

Graettinger, W. F., Smith, D. H., Neutel, J. M., Myers, J., Froelicher, V. F., y Weber, M. A. (1995). Relationship of left ventricular structure to maximal heart rate during exercise. Chest, 107(2), 341-345. https://doi.org/10.1378/chest.107.2.341

Hagquist, C., y Stenbeck, M. (1998). Goodness of fit in regression analysis -R2 and G2 reconsidered. Quality & Quantity (32), 229-245.

Jackson, A.S. (2007). Estimating maximum heart rate from age: Is it a linear relationship? Medicine & Science in Sports and Exercise, 39(5), 821. https://doi.org/10.1249/mss.0b013e318054d3ca

Judd, C. M., McClelland, G. H., y Ryan, C. S. (2017). Data Analysis: A Model Comparison Approach to Regression, ANOVA, and Beyond (3rd ed.). Taylor & Francis.

LeBlanc, D. C. (2004). Statistics: Concepts and Applications for Science. Jones and Bartlett.

Lewis-Beck, C., y Lewis-Beck, M. (2015). Applied regression: An introduction (Vol. 22). Sage publications.

Londeree, B.R., y Moeschberger, M.L. (1982) Effect of Age and Other Factors on Maximal Heart Rate. Research Quarterly for Exercise and Sport, 53(4), 297-304. https://doi.org/10.1080/02701367.1982.10605252

Machado, F. A., y Denadai, B. S. (2011). Validez de las ecuaciones predictivas de la frecuencia cardíaca máxima para niños y adolescentes. Arquivos Brasileiros de Cardiologia, 97(2), 136-140. https://doi.org/10.1590/S0066-782X2011005000078

Mahon, A. D., Marjerrison, A. D., Lee, J. D., Woodruff, M. E., Hanna, L. E. (2010). Evaluating the prediction of maximal heart rate in children and adolescents. Research Quarterly for Exercise and Sport, 81(4), 466-471. https://doi.org/10.1080/02701367.2010.10599707

McArdle, W. D., Katch, F. I., y Katch, V. L. (2010). Exercise physiology: nutrition, energy, and human performance. Lippincott Williams & Wilkins.

Mesplé, F., Troussellier, M., Casellas, C., y Legendre, P. (1996). Evaluation of simple statistical criteria to qualify a simulation. Ecological Modelling, 88(1-3), 9-18. https://doi.org/10.1016/0304-3800(95)00033-X

Miragaya, M. A., y Magri, O. F. (2016). Ecuación más conveniente para predecir frecuencia cardíaca máxima esperada en esfuerzo. Insuficiencia cardíaca, 11(2), 56-61. https://www.redalyc.org/pdf/3219/321946441002.pdf

Myers, J., y Bellin, D. (2012). Ramp exercise protocols for clinical and cardiopulmonary exercise testing. Sports Medicine, 30(1), 23-29. https://doi.org/10.2165/00007256-200030010-00003

Nagelkerke, N. J. (1991). A note on a general definition of the coefficient of determination. Biometrika, 78(3), 691-692. https://doi.org/10.1093/biomet/78.3.691

Nes, B. M., Janszky, I., Wisløff, U., Støylen, A., y Karlsen, T. (2013). Age‐predicted maximal heart rate in healthy subjects: The HUNT Fitness Study. Scandinavian journal of medicine & science in sports, 23(6), 697-704. https://doi.org/10.1111/j.1600-0838.2012.01445.x

Pereira-Rodríguez, J. E., Boada-Morales, L., Niño-Ríos, I. M., Cañizares-Pérez, A., y Quintero-Gómez, J. C. (2017). Frecuencia Cardiaca Máxima Mediante 220 Menos Edad versus prueba de esfuerzo con protocolo de Bruce. Movimiento Científico, 11(1), 15-22. http://dx.doi.org/10.33881/2011-7191.mct.11102

Piedmont, R.L. (2014). Criterion Validity. En: Michalos, A.C. (Ed.), Encyclopedia of Quality of Life and Well-Being Research. Springer Nature. https://doi.org/10.1007/978-94-007-0753-5_618

Piñeiro, G., Perelman, S., Guerschman, J. P., y Paruelo, J. M. (2008). How to evaluate models: observed vs. predicted or predicted vs. observed? Ecological modelling, 216(3-4), 316-322. https://doi.org/10.1016/j.ecolmodel.2008.05.006

Portuguez Molina, P., y Aragón Vargas, L.F. (2023). Base de datos para Las ecuaciones predictoras de frecuencia cardiaca máxima no superan prueba clave de validación externa. Pensar en Movimiento: Revista de Ciencias del Ejercicio y la Salud, 21(2). https://doi.org/10.15517/pensarmov.v21i2.57737

Povea, C.E., y Cabrera, A. (2018). Utilidad práctica de la monitorización de la frecuencia cardiaca durante el ejercicio. Revista Colombiana de Cardiología, 25(3), 169-173. https://doi.org/10.1016/j.rccar.2018.05.001

Ricard, R., Léger, L., y Massicotte, D. (1990). Validity of the “220-age” formula to predict maximal heart rate. Medicine & Science in Sports & Exercise, 22(2), pS96. https://doi.org/10.1249/00005768-199004000-00574

Robergs, R. A., y Landwehr, R. (2002). La sorprendente Historia de la Ecuación “FC máx.= 220–edad”. Official Journal of The American Society of Exercise Physiologists, 5(2). https://g-se.com/la-sorprendente-historia-de-la-ecuacion-fc-max.-220-edad-67-sa-457cfb270ee0c9

Roy, S., y McCrory, J. (2015). Validation of Maximal Heart Rate Prediction Equations Based on Sex and Physical Activity Status. International Journal of Exercise Science, 8(4), 318-330. https://pubmed.ncbi.nlm.nih.gov/27182419/

Ruppert, D. (2014). Statistics and Finance: An Introduction. Springer New York.

Smith, E. P., y Rose, K. A. (1995). Model goodness-of-fit analysis using regression and related techniques. Ecological modelling, 77(1), 49-64. https://doi.org/10.1016/0304-3800(93)E0074-D

Tanaka, H., Monahan, K.D., y Seals, D.R. (2001). Age-predicted maximal heart rate revisited. Journal of the American College of Cardiology, 37(1), 153-156. https://doi.org/10.1016/s0735-1097(00)01054-8

Vilcant, V., y Zeltser, R. (2022). Treadmill stress testing. National Library of Medicine. https://www.ncbi.nlm.nih.gov/books/NBK499903/

Whaley, M. H, L. A Kaminsky, G. B Dwyer, L. H Getchell, y J. A Norton. (1992). Predictors of Over- and Underachievement of Age-predicted Maximal Heart Rate. Medicine and Science in Sports and Exercise, 24(10), 1173-179. https://europepmc.org/article/med/1435167

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Copyright (c) 2023 Priscilla Portuguez Molina, Luis Fernando Aragón Vargas

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