A Novel Mathematical Approach to Gait Analysis: The Reliability and Validity of the ZAY Angle for Step Length Estimation in Healthy Adults

Abstract

Highlights: What are the main findings? The utilization of smartphone applications to assess gait kinematics yields reliable data. The ZAY angle is a valid and reliable angle that can be used to estimate individualized step lengths. What is the implication of the main findings? Application of the arc length formula might provide an alternative method to determine individualized step lengths. Clinicians could include the ZAY angle in their gait analysis profiles to obtain individualized step lengths. (1) Background: The application of a mathematical formula to human gait at certain phases is a considerable method to avoid the issues associated with complicated procedures of gait assessment. The purpose of this study was to identify the validity and reliability of an angle (the ZAY angle) in estimating and predicting the step length in healthy subjects. (2) Methods: Thirty-three college-aged students participated in this study. For an assessment of each participant’s gait, a 4.5 m walkway was covered with a weight paper roll to mark the participant’s footprints, providing the step lengths of six consecutive steps for two trials. At the same time, a video recording was captured and analyzed by the Coach’s Eye application to determine the step angle (ß). The arc length formula was utilized to calculate the ZAY angle (θ). Spearman’s rho correlation coefficient and the interclass correlation coefficient were used to test the validity and reliability of the ZAY angle in determining individualized step lengths in healthy subjects. Simple linear regression was used to test if the calculated angle could significantly predict the step length. (3) Results: The Spearman rho correlation between the analyzed and calculated angles was significant for all three step lengths (p < 0.05). It was found that the calculated angle could significantly predict the step length (β = 0.91, p < 0.05). The ICC was very high (p < 0.05). (4) Conclusions: The ZAY angle is a valid and reliable angle that can be used to estimate individualized step lengths. Clinicians could include this angle in their gait analysis profiles to achieve individualized assessment and rehabilitation goals.