Validity and Reliability of the PUSH Wearable Device to Measure Movement Velocity During the Back Squat Exercise : The Journal of Strength & Conditioning Research

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Validity and Reliability of the PUSH Wearable Device to Measure Movement Velocity During the Back Squat Exercise

Balsalobre-Fernández, Carlos1; Kuzdub, Matt2; Poveda-Ortiz, Pedro1; Campo-Vecino, Juan del1

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Journal of Strength and Conditioning Research 30(7):p 1968-1974, July 2016. | DOI: 10.1519/JSC.0000000000001284
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Balsalobre-Fernández, C, Kuzdub, M, Poveda-Ortiz, P, and Campo-Vecino, Jd. Validity and reliability of the PUSH wearable device to measure movement velocity during the back squat exercise. J Strength Cond Res 30(7): 1968–1974, 2016—The purpose of this study was to analyze the validity and reliability of a wearable device to measure movement velocity during the back squat exercise. To do this, 10 recreationally active healthy men (age = 23.4 ± 5.2 years; back squat 1 repetition maximum [1RM] = 83 ± 8.2 kg) performed 3 repetitions of the back squat exercise with 5 different loads ranging from 25 to 85% 1RM on a Smith Machine. Movement velocity for each of the total 150 repetitions was simultaneously recorded using the T-Force linear transducer (LT) and the PUSH wearable band. Results showed a high correlation between the LT and the wearable device mean (r = 0.85; standard error of estimate [SEE] = 0.08 m·s−1) and peak velocity (r = 0.91, SEE = 0.1 m·s−1). Moreover, there was a very high agreement between these 2 devices for the measurement of mean (intraclass correlation coefficient [ICC] = 0.907) and peak velocity (ICC = 0.944), although a systematic bias between devices was observed (PUSH peak velocity being −0.07 ± 0.1 m·s−1 lower, p ≤ 0.05). When measuring the 3 repetitions with each load, both devices displayed almost equal reliability (Test–retest reliability: LT [r = 0.98], PUSH [r = 0.956]; ICC: LT [ICC = 0.989], PUSH [ICC = 0.981]; coefficient of variation [CV]: LT [CV = 4.2%], PUSH [CV = 5.0%]). Finally, individual load-velocity relationships measured with both the LT (R2 = 0.96) and the PUSH wearable device (R2 = 0.94) showed similar, very high coefficients of determination. In conclusion, these results support the use of an affordable wearable device to track velocity during back squat training. Wearable devices, such as the one in this study, could have valuable practical applications for strength and conditioning coaches.


Quantifying and prescribing training intensity in an objective way is a common problem when designing resistance training sessions (14,27,29). Training intensity, generally understood as a percentage of the maximal effort that the athlete can perform, is considered a fundamental variable for the design of resistance training programs (14,27); in fact, the specific adaptations to resistance training are highly dependent on the intensity of the training stimulus (14,15,27,35). Thus, several methodologies have been used to quantify training intensity for resistance training programs; the 1 repetition maximum (1RM; i.e., the load that can be lifted just once) has been the most widely used (19,28,31). However, prescribing training intensity as a percentage of the 1RM (i.e., 75% 1RM), has a major drawback: it requires performing a maximal lift (direct estimation of the 1RM) (27) or a number of repetitions to failure with submaximal loads (indirect estimation of the 1RM) (12,26). Conducting a 1RM test involves a highly intense effort that might be risky for some populations such as elder people (30). Also, performing repetitions to failure have shown to impair neuromuscular performance even in trained athletes because of the high degree of fatigue it produces (13,20,23). Finally, 1RM values can increase over the course of a few weeks after the beginning of a new training program, especially for untrained populations (14,29,36). Therefore, if coaches desire accurate training load prescriptions, 1RM tests should be administered frequently (19).

Over the past few years, a new body of research has emerged, proposing the use of velocity feedback to quantify training loads for resistance training exercises (3,4,18,21,33). These studies are based on the well-known force-velocity relationship (22,32), for which higher loads are moved at slower velocities, whereas lighter loads are moved at faster velocities. In fact, barbell velocity during the bench press, back squat, and bench pull have shown to be very highly correlated with training intensity in terms of %1RM, with the use of a wide range of loads (2,19,25,33). Therefore, 1RM and each associated relative percentage can be predicted without conducting an actual 1RM test but rather by measuring barbell velocity. Thus, controlling barbell velocity seems to be appropriate to monitor resistance training intensities and to optimize adaptations (17,19).

Although, velocity based training has been proposed as a promising methodology to design resistance training programs without the potential drawbacks of the 1RM measurement (19,25), it also has an important drawback: the technology used to track barbell velocity, such as linear transducers (LTs), professional accelerometers or video-systems (8,10,11,34) are not affordable or practical for many strength and conditioning coaches. Among those devices, the most widely used technology to track barbell velocity are LT because of their accuracy and relative ease of use (10,16,19). Linear Transducers consist of a sensor with a cable that is attached to a barbell, and measure barbell velocity by differentiating cable displacement with respect to time (i.e., linear position transducers) (10) or, more recently, newer devices provide direct measurements by recording electrical signals proportional to cable velocity (i.e., linear velocity transducers) (33). As mentioned above, LTs have one 1 important limitation: they are expensive (more than 2,000 US dollars for the most popular models), which limits their use outside laboratory or professional sport settings. For this, it is necessary to find alternatives to accurately track barbell velocity in the field of sport science, both for simplicity and affordability.

In recent years, several smartphone and smartphone-based wearable technologies (i.e., devices that just need a smartphone app to work, not a PC software) have been validated to measure different parameters related to physical activity (1,5). Indeed, these user-friendly technologies, mostly consisting of accelerometers and gyroscopes, allow the measurement of different variables (such as steps, distance, or calories) by actually wearing its sensors as wristbands, watches, or even t-shirts (7). Specifically, accelerometers measure movement velocity in resistance exercises by integrating the acceleration data with respect to time (6). Although this approach is very different from the method used by LT, it has been demonstrated to be valid for the measurement of barbell velocity in previous research (8). Also, smartphone-based wearable devices don't need PC software to work; they are paired with a smartphone application to transfer data through Bluetooth or Wi-Fi connections in a simple way, which makes easier its setup and use in the field. However, no studies have analyzed a smartphone-based wearable device to track movement velocity during the back squat exercise.

For this, the purpose of this study is to analyze the validity and reliability of a smartphone-based wearable device to measure movement velocity during the barbell back squat exercise.


Experimental Approach to the Problem

The aim of this study was to test the validity and reliability of a novel smartphone-based wearable device to measure movement velocity during a back squat exercise. Ten recreationally active sport science students were recruited to perform an incremental test on a Smith machine, consisting of 3 maximal repetitions (i.e., with maximal movement speed during the concentric phase of the exercise) during a back squat exercise with 5 different loads ranging from 25 to 85% of their 1RM, i.e., a great part of the load-velocity spectrum (19). Each repetition was simultaneously measured using a linear velocity transducer attached to the barbell and a wearable device worn on the subject's forearm. Both concentric peak and average velocity data from the 2 instruments were compared and analyzed using several validity and reliability tests. Also, load-velocity relationships derived from the linear transducer and the wearable device data were analyzed for each individual to compare the quality of the linear regression between the 2 instruments. A total of 150 repetitions were measured and compared.


The participants of this study were 10 men, physically active sport science students with at least 1 year of barbell back squat training (age = 23.4 ± 5.2 years; age range = 18–28 years; height = 1.81 ± 0.08 m, body mass = 74.0 ± 10.4 kg; back squat 1RM = 83 ± 8.2 kg). The study was undertaken according to the Helsinki declaration, and the Ethics Committee of the Autonomous University of Madrid approved all procedures. Participation of the subjects was voluntary and anonymous, and they were informed of the benefits and risks of the investigation before signing an institutionally approved informed consent document to participate in the study.


Incremental Back Squat Test

The participants completed a standard warm-up comprising 5 minutes of jogging, 5 minutes of lower-body dynamic stretches (hip flexion-extension and abductions-adductions and knee flexion-extension exercises), and 1 set of 5 preparatory back squats with an unloaded plastic bar. Each subject then performed an incremental back squat test on a Smith machine with 5 different loads: 20, 40, 50, 60, and 70 kg, which, according to the subjects 1RM, corresponded approximately to a range between 25 and 85% of their 1RM. This range of loads was selected to obtain different values from the force-velocity spectrum of the subjects. Measuring 5 different points of the force-velocity spectrum (i.e., from light loads, which can be lifted at high speeds to high loads, which can be lifted at slow speeds) has been probed to be key for the analysis of the force/load-velocity relationships and can provide valuable information about the force production capabilities of the subjects. (19,32). Subjects were instructed to maintain a hip width stance, to squat deep (i.e., hips below knees) and to perform the concentric phase of the movement as fast as possible. Three repetitions were performed with each load. Each repetition was followed by 30 seconds of passive rest to avoid fatigue. Accordingly, each subject performed a total of 15 (5 × 3) repetitions. Three minutes of passive rest was provided between the different loading conditions. Before their participation in this study, the lead investigator instructed the participants to arrive in a rested and hydrated state and to avoid alcohol, caffeine, and vigorous exercise in the 48 hours preceding the testing session.

An experienced strength and conditioning coach supervised the testing session.


Each repetition performed during the back squat incremental test was measured using the T-Force linear velocity transducer (Ergotech, Murcia, Spain) (16), considered the criterion in this study, and the PUSH band, a novel smartphone-based wearable device designed to track movement velocity during a variety of resistance exercises (PUSH Inc., Toronto, Canada). The linear velocity transducer was attached to the left extreme of the barbell on the Smith machine, and the PUSH band was worn on the subject's dominant forearm, with the hand supinated, in top of the ulna, 1–2 cm distal to the elbow, and with the main button located proximally according to manufacturers instructions (Figure 1).

Figure 1.:
Correct placement of the PUSH band on the forearm.

The LT, whose reliability has been reported elsewhere (16), measures instantaneous vertical velocity at a sample rate of 1,000 Hz. The LT obtains vertical velocity data (z axis) directly from the electrical signal produced by the cable movement. To register the concentric velocity data using the LT, the device was connected to a PC with Windows 7 and the T-Force v.2.35 software through a USB port. The PUSH wearable device consists of a 3-axis accelerometer and a gyroscope that provides 6 degrees of freedom in its coordinate system. A Butterworth filter is used to smooth the acceleration data, and vertical velocity is calculated by the integration of the vertical acceleration with respect to time using equations (1) and (2):where , t is time, is the instantaneous velocity for a time i, is the velocity at the beginning of the concentric phase on the back squat (detected by PUSH's internal algorithms), f is the time at the final of the concentric phase, and a is the instantaneous acceleration. Then, the PUSH band calculates the mean velocity of the movement by averaging all instantaneous velocities registered during the concentric phase:where is the average velocity of the concentric phase on the back squat exercise, is the ith instantaneous velocity measured with the PUSH band, and n is the total number of instantaneous velocities registered during the concentric phase of the movement. Finally, peak velocity was calculated as the highest velocity registered during the concentric phase. Both the LT and the PUSH band's software detect the start and the end of the concentric phase of each repetition with proprietary algorithms that were not shared with us. No calibration procedure is needed for the PUSH system to work.

The PUSH band's sampling rate is 200 Hz. To record the measured data with the PUSH band, the system was linked to an iPhone PUSH app v.1.10.4 using a Bluetooth 4.0 LE connection. Before each set, the load used was selected in the app.

Statistical Analyses

Several statistical analyses were used to test the validity and reliability of the PUSH band compared with the LT with the back squat movement velocity measurement. First, the PUSH band's concurrent validity was tested using Pearson's product-moment correlation coefficient (r). Second, to analyze the reliability of the PUSH band to measure both peak and average velocity in comparison with the LT, the intraclass correlation coefficient (ICC) (2,1) was used. Also, independent t-test and Bland–Altman plots were used to identify potential systematic bias, which were reported through mean-bias and standard deviations. Furthermore, the standard error of estimate (SEE) was also used to inform about the typical error in the measurements. Third, to assess the reliability of the 3 repetitions of each set with both the LT and the PUSH band, the ICC (2,1), the coefficient of variation (CV), and test–retest correlations (through r) were used. Finally, linear regressions were used to analyze the load-velocity relationship for each subject. The level of statistical significance was set at P ≤ 0.05. All calculations were performed using IBM SPSS Statistics 22 for Mac (IBM Corp., Armonk, NY, USA).


Validity and Reliability of the Velocity Measures

Peak Velocity

When analyzing the whole data set (150 repetitions measured with both the LT and the PUSH band), Pearson's product-moment correlation coefficient revealed a very high association between the LT's and the PUSH band's measured peak velocity (r = 0.91, p < 0.001, SEE = 0.1 m·s−1; Figure 2).

Figure 2.:
Correlation between PUSH wearable device's and linear velocity transducer's (LT) peak velocity values for the 150 repetitions measured.

Moreover, there was a very high agreement between the LT and the PUSH band for peak velocity (ICC = 0.944, confidence interval [CI] = 0.923–0.959), as revealed by the mentioned ICC and the Bland–Altman plots (Figure 3).

Figure 3.:
Bland–Altman plots between PUSH wearable device's and linear velocity transducer's (LT) measured peak (A) and mean (B) velocity. The central line represents the systematic bias between instruments (positive values mean higher velocity obtained with the LT, whereas negative values mean higher velocity obtained with the PUSH band), whereas the upper and the lower lines represent ±1.96 SD.

Furthermore, an independent-measures t-test showed a systematic bias between the LT and the PUSH band for peak velocity (LT: 1.55 ± 0.27 m·s−1, PUSH: 1.47 ± 0.33 m·s−1, CI = 0.01–0.14, p ≤ 0.05); the values obtained with the PUSH band being lower (mean difference: −0.07 ± 0.1 m·s−1).

Finally, when comparing the 3 repetitions of each set, both the LT and the PUSH band were seen to be highly reliable on the measurement of peak velocity (LT: [CV = 4.2 ± 2.5%; ICC = 0.988; CI = 0.98–0.993; test–retest reliability: r = 0.975]; PUSH: [CV = 6.0 ± 3.9%; ICC = 0.981; CI = 0.969–0.988; test–retest reliability: r = 0.952]).

Mean Velocity

First, Pearson's product-moment correlation coefficient revealed a very high association between the LT's and the PUSH band's measured mean velocity (r = 0.86, p < 0.001, SEE = 0.08 m·s−1). There was a very high agreement between the LT and the PUSH band for mean velocity measurements as well (ICC = 0.907; CI = 0.872–0.933). The independent measures t-test showed a systematic bias between the LT and the PUSH band for mean velocity (LT: 0.77 ± 0.17 m·s−1, PUSH: 0.88 ± 0.22 m·s−1, −0.1, CI = −0.15, −0.06, p < 0.001); the values obtained with the PUSH band being higher (mean difference: 0.11 ± 0.1 m·s−1).

Finally, when comparing the 3 repetitions of each set, both the LT and the PUSH band were seen to be highly reliable on the measurement of mean velocity (LT: [CV = 3.9 ± 2.4%; ICC = 0.989; CI = 0.982–0.993; test–retest reliability: r = 0.98]; PUSH: [CV = 5.0 ± 4.1%; ICC = 0.978; CI = 0.964–0.986; test–retest reliability: r = 0.956]).

Comparison of the Load-Velocity Relationships Measured With the 2 Instruments

Finally, we plotted the peak and mean velocities of each subject measured with both the LT and the PUSH band against the load lifted in the incremental test (in kilograms), and fitted a first-order regression line to study the load-velocity relationship obtained with these instruments. The results showed that strong load-velocity relationship exists in the back squat exercise for each individual using both peak and mean velocity values, no matter which instrument was used. Specifically, similar R2 values were obtained with the LT and the PUSH band for load-peak velocity (LT: R2 = 0.96 ± 0.07; PUSH: R2 = 0.94 ± 0.08; Figure 4) and load-mean velocity (LT: R2 = 0.92 ± 0.05; PUSH: R2 = 0.94 ± 0.05) relationships.

Figure 4.:
Load-peak velocity relationship using both the PUSH wearable device and the linear velocity transducer (LT) data for a representative subject.


Results from this study demonstrate a high validity and reliability of the PUSH band, compared with a validated LT, for measuring movement velocity during the back squat exercise. It was observed that the velocity values obtained with the PUSH band were highly correlated (peak velocity: r = 0.91; mean velocity: r = 0.86), with a high level of agreement (peak velocity: ICC = 0.944; mean velocity: ICC = 0.907), with those measured with the LT, despite the presence of a systematic bias by which the values obtained with the PUSH band were significantly different than those obtained with the LT (Peak velocity: 0.7 m·s−1 lower; Mean velocity: 0.11 m·s−1 higher). Further analysis of the data revealed a very high reliability of the PUSH band for measuring both peak (CV = 6.0%; ICC = 0.981; r = 0.952) and mean (CV = 5.0%; ICC = 0.978; r = 0.956) velocity. In fact, PUSH ’s reliability values were very close to those obtained with the LT; thus, if the PUSH band is used on a regular basis, consistency of the data obtained is expected to be very high. Moreover, individual load-velocity relationships, which allow to assess force production capabilities within a wide range of the force-velocity spectrum (24,32) were calculated to be equally strong, irrespective of the system (PUSH or LT) used.

The LT used in this study contains a sensor that directly measures the vertical displacement velocity of its cable (which is attached to the barbell) by transducing electrical signals, and not differentiating cable position with respect to time as compared with other LTs (9,19); consequently accuracy of this LT has been proposed to be very high (16,19,33). In fact, LTs are considered the gold standard for the measurement of barbell velocity by many authors (9,19,25). Although force platforms are considered the criterion for the evaluation of force production capabilities (10,11), when it comes to the measurement of barbell velocity, they seem less appropriate, because what they measure is the velocity of the system's center of mass using forward dynamics (10).

Meanwhile, the PUSH band, which is intended to be worn on the forearm of the subject (similar to a bracelet), measures vertical velocity by integrating the vertical acceleration data with respect to time. Previous accelerometer-based device was validated for lower-limb strength measurements (8); however, its high price point, above 2,000 US dollars for some models, prevents its use for many strength and conditioning coaches. Thus, despite the different calculation methods each of these systems uses (one measuring directly vertical velocity at 1 kHz with a cable attached to the barbell, the other integrating vertical acceleration data at 200 Hz from a sensor placed in the forearm of the subject), which lead to a systematic bias, the PUSH wearable device has shown to be highly valid and reliable for the measurement of movement velocity on the back squat exercise. However, although its use can be recommended for the estimation of back squat barbell velocity, the PUSH band should not be used interchangeably with a LT (i.e., the PUSH band one day, a LT the other day) because of the aforementioned systematic bias between these devices.

The importance of measuring movement velocity has been highlighted in many studies, because movement velocity is very highly correlated with relative intensity in terms of its association with % 1RM (19,33). However, technologies used to measure movement velocity, such as LTs, force platforms, or professional accelerometers, while validated, are still quite expensive and technical in nature, limiting their use outside laboratory settings or high-performance sports centers. Our results demonstrate that a much more affordable device (PUSH band, with a price about 15 times lower than the LT used as a criterion in this study) can be used to measure movement velocity during the back squat exercise. This could have great practical applications for strength and conditioning coaches, because PUSH, like many other smartphone-based wearable devices to track physical activity (7), are much more affordable than professional, laboratory-based instruments and are integrated with user-friendly smartphone apps, instead of using advanced PC software. To the best of our knowledge, this is the first study that demonstrates that a wearable device is a valid means to measure movement velocity during the back squat exercise.

Practical Applications

The PUSH band is an easy to use, affordable, smartphone-based system that has been demonstrated to be highly valid and reliable in comparison with a professional linear velocity transducer for the measurement of movement back squat velocity. Thus, the PUSH band can be used to monitor and control movement velocity accurately. However, the PUSH should not be used interchangeably with LTs because of the presence of a systematic bias between these devices. This could have great practical applications for strength and conditioning coaches, especially for those implementing velocity-based resistance training programs, because movement velocity can be monitored with any iOS or Android smartphone and a nonexpensive wearable device.


Matt Kuzdub (MSc) is a Sport Science advisor at PUSH. To guarantee the independence of the data analysis, the first author of the article, who has no connection with PUSH, analyzed the entire data set and was the sole contributor to the results section. Mr. Kuzdub contributed significantly to the introduction and practical applications sections of the article, but did not collect any data nor had any access to the data set that was analyzed. The results of this study do not constitute endorsement of the product by the authors or the NSCA.


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velocity-based training; technology; strength; weightlifting; accelerometer; PUSH band

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