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Scaling and Normalization


When comparing results of movement analysis between subjects, it is advisable to account for differences in stature and body weight. Two methods will be presented, scaling by nondimensional numbers and scaling to standard size. Specific for walking and other cyclic movements, methods to normalize for cycle time and to account for average speed are presented.


  • Normalization
  • Scaling
  • Nondimensional numbers
  • Dimensionless numbers
  • Units
  • Waking speed
  • Gait cycle
  • Seenon-dimensional number

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  • Bobbert MF, Huijing PA, van Ingen Schenau GJ (1986) An estimation of power output and work done by human triceps surae muscle-tendon complex in jumping. J Biomechanics 19:899–906

    CrossRef  Google Scholar 

  • den Otter AR, Geurts ACH, Mulder T, Duysens J (2004) Speed related changes in muscle activity from normal to very slow walking speeds. Gait Posture 19(3):270–278

    CrossRef  Google Scholar 

  • Gazendam M, Hof AL (2007) Averaged EMG profiles in jogging and running at different speeds. Gait Posture 25(4):604–614

    CrossRef  Google Scholar 

  • Hebenstreit F, Leibold A, Krinner S, Welsch G, Lochmann M, Eskofier BM (2015) Effect of walking speed on gait sub phase durations. Hum Mov Sci 43:118–124.

    CrossRef  Google Scholar 

  • Hof AL (1996) Scaling gait data to body size. Gait Posture 4:222–223

    CrossRef  Google Scholar 

  • Hof AL, Zijlstra W (1997) Normalization of temporal-distance parameters in pediatric gait. (letter to the editor.). J Biomechanics 30:299

    Google Scholar 

  • Hof AL, Elzinga H, Grimmius W, Halbertsma JPK (2002) Speed dependency of averaged EMG profiles in walking. Gait Posture 16(1):78–86

    CrossRef  Google Scholar 

  • McMahon TA, Bonner JT (1983) On size and life. Scientific American Books, New York

    Google Scholar 

  • Murray MP, Drought B, Ross C, Kory MD (1964) Walking patterns of normal men. J Bone Joint Surg 46A:335–360

    CrossRef  Google Scholar 

  • Perry JE (1992) Gait analysis. Normal and pathological function. SLACK, Thorofare

    Google Scholar 

  • Pinzone O, Schwartz MH, Baker R (2016) Comprehensive non-dimensional normalization of gait data. Gait Posture 44:68–73.

    CrossRef  Google Scholar 

  • Schwartz MH, Koop SE, Bourke JL, Baker R (2006) A nondimensional normalization scheme for oxygen utilization data. Gait Posture 24(1):14–22

    CrossRef  Google Scholar 

  • Schwartz MH, Rozumalski A, Trost JP (2008) The effect of walking speed on the gait of typically developing children. J Biomech 41(8):1639–1650

    CrossRef  Google Scholar 

  • Sutherland DH, Olshen RA, Biden EN, Wyatt MP (1988) The development of mature walking. McKeith Press, London

    Google Scholar 

  • Van Hamme A, El Habachi A, Samson W, Dumas R, Chèze L, Dohin B (2015) Gait parameters database for young children: the influences of age and walking speed. Clin Biomechanics 30(6):572–577.

    CrossRef  Google Scholar 

  • Vaughan C, O’Malley M (2005) Froude and the contribution of naval architecture to our understanding of bipedal locomotion. Gait Posture 21(3):350–362

    CrossRef  Google Scholar 

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Correspondence to At L. Hof .

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Hof, A.L. (2018). Scaling and Normalization. In: Handbook of Human Motion. Springer, Cham.

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