Backward Double Integration is a Valid Method to Calculate Maximal and Sub-Maximal Jump Height

References

• Atkinson, G., & Nevill, A. M. (1998). Statistical methods for assessing measurement error (reliability) in variables relevant to sports medicine. Sports Medicine, 26(4), 217–238. https://doi.org/10.2165/00007256-199826040-00002
   PubMed Web of Science ®Google Scholar
• Bland, M., & Altman, D. (1986). Statistical methods for assessing agreement between two methods of clinical measurement. The Lancet, 327(8476), 307–310. https://doi.org/10.1016/S0140-6736(86)90837-8
   Web of Science ®Google Scholar
• Bobbert, M. F., & Casius, L. J. R. (2005). Is the effect of a countermovement on jump height due to active state development? Medicine and Science in Sports and Exercise, 37(3), 440–446. https://doi.org/10.1249/01.MSS.0000155389.34538.97
   PubMed Web of Science ®Google Scholar
• Bobbert, M. F., Gerritsen, K., Litjens, M., & van Soest, A. J. (1996). Why is countermovement jump height greater than squat jump height. Med Sci Sports Exerc, 28(11), 1402–1412. https://doi.org/10.1097/00005768-199611000-00009
   PubMed Web of Science ®Google Scholar
• Bobbert, M. F., Mackay, M., Schinkelshoek, D., Huijing, P. A., & van Ingen Schenau, G. J. (1986). Biomechanical analysis of drop and countermovement jumps. European Journal of Applied Physiology and Occupational Physiology, 54(6), 566–573. https://doi.org/10.1007/BF00943342
   PubMed Web of Science ®Google Scholar
• Bobbert, M. F., & Van Ingen Schenau, G. J. (1988). Coordination in vertical jumping. Journal of Biomechanics, 21(3), 249–262. https://doi.org/10.1016/0021-9290(88)90175-3
   PubMed Web of Science ®Google Scholar
• Bogataj, Š., Pajek, M., Andrašić, S., & Trajković, N. (2020). Concurrent validity and reliability of my jump 2 app for measuring vertical jump height in recreationally active adults. Applied Sciences, 10(11), 3805. https://doi.org/10.3390/app10113805
   Google Scholar
• Buckthorpe, M., Morris, J., & Folland, J. P. (2012). Validity of vertical jump measurement devices. Journal of Sports Sciences, 30(1), 63–69. https://doi.org/10.1080/02640414.2011.624539
   PubMed Web of Science ®Google Scholar
• Chiu, L. Z. F., & Dæhlin, T. E. (2020). Comparing numerical methods to estimate vertical jump height using a force platform. Measurement in Physical Education and Exercise Science, 24(1), 25–32. https://doi.org/10.1080/1091367X.2019.1650044
   Web of Science ®Google Scholar
• Eagles, A. N., Sayers, M. G. L., Bousson, M., & Lovell, D. I. (2015). Current methodologies and implications of phase identification of the vertical jump: A systematic review and meta-analysis. Sports Medicine, 45(9), 1311–1323. https://doi.org/10.1007/s40279-015-0350-7
   PubMed Web of Science ®Google Scholar
• Grozier, C. D., Cagle, G. K., Pantone, L., Rank, K. B., Wilson, S. J., Harry, J. R., Seals, S., & Simpson, J. D. (2021). Effects of medial longitudinal arch flexibility on propulsion kinetics during drop vertical jumps. Journal of Biomechanics, 118(1), 110322. https://doi.org/10.1016/j.jbiomech.2021.110322
   PubMedGoogle Scholar
• Harman, E. A., Rosenstein, M. T., Frykman, P. N., Rosenstein, R. M., & Kraemer, W. J. (1991). Estimation of human power output from vertical jump. The Journal of Strength & Conditioning Research, 5(3), 116–120. https://journals.lww.com/nsca-jscr/Abstract/1991/08000/Estimation_of_Human_Power_Output_from_Vertical.2.aspx
   Google Scholar
• Ho, J., Tumkaya, T., Aryal, S., Choi, H., & Claridge-Chang, A. (2019). Moving beyond P values: Data analysis with estimation graphics. Nature Methods, 16(7), 565–566. https://doi.org/10.1038/s41592-019-0470-3
   PubMed Web of Science ®Google Scholar
• Kibele, A. (1998). Possibilities and limitations in the biomechanical analysis of countermovement jumps: A methodological study. Journal of Applied Biomechanics, 14(1), 105–117. https://doi.org/10.1123/jab.14.1.105
   Web of Science ®Google Scholar
• Markström, J. L., & Olsson, C.-J. (2013). Countermovement jump peak force relative to body weight and jump height as predictors for sprint running performances:(in) homogeneity of track and field athletes? The Journal of Strength & Conditioning Research, 27(4), 944–953. https://doi.org/10.1519/JSC.0b013e318260edad
   PubMed Web of Science ®Google Scholar
• McBride, J. M., Kirby, T. J., Haines, T. L., & Skinner, J. (2010). Relationship between relative net vertical impulse and jump height in jump squats performed to various squat depths and with various loads. International Journal of Sports Physiology and Performance, 5(4), 484–496. https://doi.org/10.1123/ijspp.5.4.484
   PubMed Web of Science ®Google Scholar
• McErlain-Naylor, S., King, M., & Pain, M. T. G. (2014). Determinants of countermovement jump performance: A kinetic and kinematic analysis. Journal of Sports Sciences, 32(19), 1805–1812. https://doi.org/10.1080/02640414.2014.924055
   PubMed Web of Science ®Google Scholar
• Miranda, D. L., Rainbow, M. J., Crisco, J. J., & Fleming, B. C. (2013). Kinematic differences between optical motion capture and biplanar videoradiography during a jump–cut maneuver. Journal of Biomechanics, 46(3), 567–573. https://doi.org/10.1016/j.jbiomech.2012.09.023
   PubMed Web of Science ®Google Scholar
• Moir, G. L. (2008). Three different methods of calculating vertical jump height from force platform data in men and women. Measurement in Physical Education and Exercise Science, 12(4), 207–218. https://doi.org/10.1080/10913670802349766
   Google Scholar
• Morin, J.-B., Jiménez-Reyes, P., Brughelli, M., & Samozino, P. (2019). When jump height is not a good indicator of lower limb maximal power output: Theoretical demonstration, experimental evidence and practical solutions. Sports Medicine, 49(7), 999–1006. https://doi.org/10.1007/s40279-019-01073-1
   PubMed Web of Science ®Google Scholar
• Needham, L., Evans, M., Cosker, D. P., Wade, L., McGuigan, P. M., Bilzon, J. L., & Colyer, S. L. (2021). The accuracy of several pose estimation methods for 3D joint centre localisation. Scientific Reports, 11(1), 20673. https://doi.org/10.1038/s41598-021-00212-x
   PubMed Web of Science ®Google Scholar
• O’Malley, E., Richter, C., King, E., Strike, S., Moran, K., Franklyn-Miller, A., & Moran, R. (2018). Countermovement jump and isokinetic dynamometry as measures of rehabilitation status after anterior cruciate ligament reconstruction. Journal of Athletic Training, 53(7), 687–695. https://doi.org/10.4085/1062-6050-480-16
   PubMed Web of Science ®Google Scholar
• Sayers, S. P., Harackiewicz, D. V., Harman, E. A., Frykman, P. N., & Rosenstein, M. T. (1999). Cross-validation of three jump power equations. Medicine & Science in Sports & Exercise, 31(4), 572–577. https://doi.org/10.1097/00005768-199904000-00013
   PubMed Web of Science ®Google Scholar
• Vanrenterghem, J., De Clercq, D., & Van Cleven, P. (2001). Necessary precautions in measuring correct vertical jumping height by means of force plate measurements. Ergonomics, 44(8), 814–818. https://doi.org/10.1080/00140130118100
   PubMed Web of Science ®Google Scholar
• Vanrenterghem, J., Lees, A., Lenoir, M., Aerts, P., & De Clercq, D. (2004). Performing the vertical jump: Movement adaptations for submaximal jumping. Human Movement Science, 22(6), 713–727. https://doi.org/10.1016/j.humov.2003.11.001
   PubMed Web of Science ®Google Scholar
• Wade, L., Lichtwark, G., & Farris, D. J. (2018). Movement strategies for countermovement jumping are potentially influenced by elastic energy stored and released from tendons. Scientific Reports, 8(1), 2300. https://doi.org/10.1038/s41598-018-20387-0
   PubMedGoogle Scholar
• Wade, L., Lichtwark, G. A., & Farris, D. J. (2020a). Joint and muscle-tendon coordination strategies during submaximal jumping. Journal of Applied Physiology, 128(3), 596–603. https://doi.org/10.1152/japplphysiol.00293.2019.
   PubMed Web of Science ®Google Scholar
• Wade, L., Lichtwark, G. A., & Farris, D. J. (2020b). Comparisons of laboratory-based methods to calculate jump height and improvements to the field-based flight-time method. Scandinavian Journal of Medicine & Science in Sports, 30(1), 31–37. https://doi.org/10.1111/sms.13556
   PubMed Web of Science ®Google Scholar
• Walsh, M., Arampatzis, A., Schade, F., & Brüggemann, G. P. (2004). The effect of drop jump starting height and contact time on power,work performed, and moment of force. The Journal of Strength & Conditioning Research, 18(3), 561–566. Retrieved from http://journals.lww.com/nsca-jscr/Fulltext/2004/08000/THE_EFFECT_OF_DROP_JUMP_STARTING_HEIGHT_AND.30.aspx
   PubMed Web of Science ®Google Scholar
• Wank, V., & Coenning, C. (2019). On the estimation of centre of gravity height in vertical jumping. German Journal of Exercise and Sport Research, 49(4), 454–462. https://doi.org/10.1007/s12662-019-00581-6
   Web of Science ®Google Scholar