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Düşük Maliyetle Geliştirilen Bir Kuvvet Platformunun Doğrulama Çalışması

Yıl 2024, Cilt: 29 Sayı: 3, 124 - 133, 31.07.2024
https://doi.org/10.53434/gbesbd.1428875

Öz

Bu araştırmada, donanımı ve yazılımı yazar tarafından geliştirilen bir kuvvet platformunun test-tekrar test güvenilirliği ve eş zamanlı ölçüm geçerliği değerlendirilmiştir. Araştırmaya 17 katılımcı dahil edilmiş, her bir test için 60 veri analize alınmıştır. Güvenirlik için aktif sıçrama yüksekliği (AS), aktif sıçrama maksimal kuvvet (ASMK) ve izometrik orta uyluk çekiş (İOUÇ) testleri uygulanmıştır. Geçerlik için bir ticari kuvvet platformu kriter cihaz olarak kullanılmış ve 1000 Hz örnekleme hızıyla AS ile AS relatif kuvvet (ASRK) testleri uygulanmıştır. Güvenirlik analizleri sınıf içi korelasyon katsayısı (ICC), varyasyon katsayısı (CV), ölçümlerin standart hatası (SEm) ve algılanabilir minimum değişim (MDC) üzerinden yapılmıştır. Geçerlik analizlerinde ise eşli örneklemler t-testi, Blant-Altman analizi ve regresyon analizleri kullanılmıştır. Güvenirlik analizlerinde, ICC değerleri yüksek düzeyde (0.988 - 0.995) bulunurken, CV değerleri %2.30 ile %4.91 aralığında değişmiştir. SEM değerleri AS için 0.93 cm, ASMK için 47.47 N ve İOUÇ için 90.05 N olarak belirlenmiştir. MDC değerleri AS için 2.59 cm, ASMK için 130.47 N ve İOUÇ için 32.49 N aralığında yer almıştır. Geçerlik analizleri, t-testi sonuçları AS için önemsiz bulunurken (p=0.263), ASRK için anlamlı bir fark (p=0.001) tespit edilmiştir. Blant- Altman analizi sonuçlarına göre mutlak fark ortalaması AS için 0.00016 cm (-0.010 cm - 0.008 cm), ASRK için 0.015 N (-0.215 N - 0.286 N) olarak bulunmuştur. Regresyon analizinde, R2 değerleri yüksek (0.967 - 0.988) bulunmuş, her iki ölçümde de regresyon kesim noktası güven aralığı 0değerini içermiştir, eğim noktası güven aralığı ise 1 değerini içermiştir. Bu araştırmanın sonuçları, geliştirilen cihazın test-tekrar test güvenirliğinin ve eş zamanlı geçerliğinin yüksek düzeyde olduğunu ve uygulamada kullanılabilecek yeterliliğe sahip olduğunu göstermektedir.

Etik Beyan

Helsinki Deklerasyonu 2008 prensiplerine göre yürütülen çalışmanın etik kurul onayı AYBÜ Fen ve Mühendislik Bilimleri Etik Kurulun’dan alınmıştır (Belge No: 12/04/2023 03-03).

Destekleyen Kurum

AYBÜ Projeleri Koordinasyon Birimi (BAP, Proje Numarası: THD-2023-2492) tarafından desteklenmiştir

Proje Numarası

THD-2023-2492

Kaynakça

  • Ashworth, B., Hogben, P., Singh, N., Tulloch, L. ve Cohen, D. D. (2018). The Athletic Shoulder (ASH) test: reliability of a novel upper body isometric strength test in elite rugby players. BMJ Open Sport Exerc Med, 4(1), e000365. doi:10.1136/bmjsem-2018-000365
  • Atkinson, G. veNevill, A. M. (1998). Statistical methods for assessing measurement error (reliability) in variables relevant to sports medicine. Sports Medicine, 26(4), 217-238. doi:10.2165/00007256-199826040-00002
  • Badby, A. J., Mundy, P. D., Comfort, P., Lake, J. P. ve McMahon, J. J. (2023). The validity of Hawkin Dynamics wireless dual force plates for measuring countermovement jump and drop jump variables. Sensors, 23(10), 4820.
  • Barbalho, M., Kleiner, A. F. R., Callegari, B., de Lima, R. C., da Silva Souza, G., e Silva, A. d. A. C. ve Coswig, V. S. (2020). Assessing interlimb jump asymmetry in young soccer players: the my jump 2 APP. International Journal of Sports Physiology and Performance, 16(1), 19-27.
  • Beckerman, H., Roebroeck, M., Lankhorst, G., Becher, J., Bezemer, P. D. ve Verbeek, A. (2001). Smallest real difference, a link between reproducibility and responsiveness. Quality of Life Research, 10, 571-578.
  • Beckham, G., Suchomel, T. ve Mizuguchi, S. (2014). Force plate use in performance monitoring and sport science testing. New Studies in Athletics, 29(3), 25-37.
  • Beingolea, J. R., Rodrigues, H. A., Zegarra, M., Sulla-Espinoza, E., Torres-Silva, R. ve Rendulich, J. (2021). Designing a multiaxial extensometric force platform: a manufacturing experience. Electronics, 10(16). doi:10.3390/electronics10161907
  • Celik, H., Yildirim, A., Unver, E., Mavili, C., Yilmaz, E., Ozturk, F., . . . Alpan Cinemre, S. (2023). Force-time analysis of the drop jump: reliability of jump measures and calculation methods for measuring jump height. Measurement in Physical Education and Exercise Science, 1-14.
  • Cormack, S. J., Newton, R. U., McGuigan, M. R. ve Doyle, T. L. (2008). Reliability of measures obtained during single and repeated countermovement jumps. International Journal Sports Physiol Perform, 3(2), 131-144. doi:10.1123/ijspp.3.2.131
  • Courel-Ibanez, J., Martinez-Cava, A., Moran-Navarro, R., Escribano-Penas, P., Chavarren-Cabrero, J., Gonzalez-Badillo, J. J. ve Pallares, J. G. (2019). Reproducibility and repeatability of five different technologies for bar velocity measurement in resistance training. Ann Biomed Eng, 47(7), 1523-1538. doi:10.1007/s10439-019-02265-6
  • Çelik, H., Mavili, C., Yılmaz, E., Ünver, E., Öztürk, F., Bulut, S., . . . Cinemre, Ş. A. (2023). Genç basketbol oyuncularında izometrik orta uyluk çekme testinin güvenirliği. Spor Bilimleri Dergisi, 34(2), 59-70. doi:10.17644/sbd.1180205
  • Duarte, M. ve Freitas, S. M. (2010). Revisão sobre posturografia baseada em plataforma de força para avaliação do equilíbrio. Brazilian Journal of Physical Therapy, 14, 183-192.
  • Eagles, A. N., Sayers, M. G. L., Bousson, M. ve Lovell, D. I. (2015). Current methodologies and implications of phase identification of the vertical jump: A systematic review and meta-analysis. Sports Medicine, 45, 1311-1323.
  • Eythorsdottir, I. E. T. (2022). The force platform project: how to compare jump height measured by different force platform systems?
  • Fransz, D. P., Huurnink, A., Kingma, I., Verhagen, E. A. ve van Dieen, J. H. (2013). A systematic review and meta-analysis of dynamic tests and related force plate parameters used to evaluate neuromusculoskeletal function in foot and ankle pathology. Clin Biomech (Bristol, Avon), 28(6), 591-601.
  • García-López, J., Morante, J. C., Ogueta-Alday, A. ve Rodríguez-Marroyo, J. A. (2013). The type of mat (contact vs. photocell) affects vertical jump height estimated from flight time. The Journal of Strength & Conditioning Research, 27(4), 1162-1167.
  • Garnacho-Castaño, M. V., López-Lastra, S. ve Maté-Muñoz, J. L. (2015). Reliability and validity assessment of a linear position transducer. Journal of Sports Science & Medicine, 14(1), 128.
  • Gençoğlu, C., Ulupınar, S., Özbay, S., Turan, M., Savaş, B. Ç., Asan, S. ve İnce, İ. (2023). Validity and reliability of “My Jump app” to assess vertical jump performance: a meta-analytic review. Scientific Reports, 13(1), 20137.
  • González-Badillo, J. J. ve Sánchez-Medina, L. (2010). Movement velocity as a measure of loading intensity in resistance training. International journal of Sports Medicine, 347-352.
  • Hatze, H. (1998). Validity and Reliability of methods for testing vertical jumping performance. Journal of Applied Biomechanics, 14(2), 127-140. doi:10.1123/jab.14.2.127
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The Validation Study of a Low-Cost Force Platform

Yıl 2024, Cilt: 29 Sayı: 3, 124 - 133, 31.07.2024
https://doi.org/10.53434/gbesbd.1428875

Öz

In this study, the test-retest reliability and concurrent validity of a force platform, developed by the author with custom hardware and software, were evaluated. Seventeen participants were included in the study, with 60 data points analyzed for each test. For reliability assessment, counter movement jump (CMJ), counter movement jump force (CMJF), and isometric mid-thigh pull (IMTP) tests were conducted. For validity, a commercial force platform was used as the criterion device,and CMJ and CMJ relative force (CMJRF) tests were conducted at a sampling rate of 1000 Hz. Reliability analyses included intraclass correlation coefficients (ICC), coefficients of variation (CV), standard error of measurements (SEM), and minimal detectable change (MDC). Validity analyses included paired samples t-tests, Bland Altman analyses, and regression analyses. In reliability analyses, ICC values were found to be high (0.988 - 0.995), while CV values ranged from 2.30% to 4.91%. SEM values were determined to be 0.93 cm for CMJ, 47.47 N for CMJF, and 90.05 N for IMTP.MDC values ranged from 2.59 cm for CMJ to 130.47N for CMJF and 32.49N for IMTP. Validity analyses revealed no significant differences for CMJ (p=0.263) but significant differences for CMJRF (p=0.001) in t-test results. According to Bland-Altman analysis, the mean absolute difference was 0.00016 cm for CMJ (-0.010 cm - 0.008 cm) and 0.015 N for CMJRF (-0.215 N - 0.286 N). Regression analyses showed high R2 values (0.967 - 0.988), with regression intercept confidence intervals containing 0 and slope confidence intervals containing 1 for both measurements. The results of this study indicate that the developed device exhibits high levels of test-retest reliability and concurrent validity, demonstrating suitability for practical application.

Etik Beyan

Bu araştırma, AYBÜ Fen ve Mühendislik Bilimleri Etik Kurulunun 12/04/2023 tarih 03-03 sayılı kararı ile etik açıdan uygun bulunmuştur.

Destekleyen Kurum

Bu çalışma, Ankara Yıldırım Beyazıt Üniversitesi Bilimsel Araştırma Projeleri Koordinasyon Birimi tarafından THD-2023-2492 kodlu proje desteği ile gerçekleştirilmiştir.

Proje Numarası

THD-2023-2492

Kaynakça

  • Ashworth, B., Hogben, P., Singh, N., Tulloch, L. ve Cohen, D. D. (2018). The Athletic Shoulder (ASH) test: reliability of a novel upper body isometric strength test in elite rugby players. BMJ Open Sport Exerc Med, 4(1), e000365. doi:10.1136/bmjsem-2018-000365
  • Atkinson, G. veNevill, A. M. (1998). Statistical methods for assessing measurement error (reliability) in variables relevant to sports medicine. Sports Medicine, 26(4), 217-238. doi:10.2165/00007256-199826040-00002
  • Badby, A. J., Mundy, P. D., Comfort, P., Lake, J. P. ve McMahon, J. J. (2023). The validity of Hawkin Dynamics wireless dual force plates for measuring countermovement jump and drop jump variables. Sensors, 23(10), 4820.
  • Barbalho, M., Kleiner, A. F. R., Callegari, B., de Lima, R. C., da Silva Souza, G., e Silva, A. d. A. C. ve Coswig, V. S. (2020). Assessing interlimb jump asymmetry in young soccer players: the my jump 2 APP. International Journal of Sports Physiology and Performance, 16(1), 19-27.
  • Beckerman, H., Roebroeck, M., Lankhorst, G., Becher, J., Bezemer, P. D. ve Verbeek, A. (2001). Smallest real difference, a link between reproducibility and responsiveness. Quality of Life Research, 10, 571-578.
  • Beckham, G., Suchomel, T. ve Mizuguchi, S. (2014). Force plate use in performance monitoring and sport science testing. New Studies in Athletics, 29(3), 25-37.
  • Beingolea, J. R., Rodrigues, H. A., Zegarra, M., Sulla-Espinoza, E., Torres-Silva, R. ve Rendulich, J. (2021). Designing a multiaxial extensometric force platform: a manufacturing experience. Electronics, 10(16). doi:10.3390/electronics10161907
  • Celik, H., Yildirim, A., Unver, E., Mavili, C., Yilmaz, E., Ozturk, F., . . . Alpan Cinemre, S. (2023). Force-time analysis of the drop jump: reliability of jump measures and calculation methods for measuring jump height. Measurement in Physical Education and Exercise Science, 1-14.
  • Cormack, S. J., Newton, R. U., McGuigan, M. R. ve Doyle, T. L. (2008). Reliability of measures obtained during single and repeated countermovement jumps. International Journal Sports Physiol Perform, 3(2), 131-144. doi:10.1123/ijspp.3.2.131
  • Courel-Ibanez, J., Martinez-Cava, A., Moran-Navarro, R., Escribano-Penas, P., Chavarren-Cabrero, J., Gonzalez-Badillo, J. J. ve Pallares, J. G. (2019). Reproducibility and repeatability of five different technologies for bar velocity measurement in resistance training. Ann Biomed Eng, 47(7), 1523-1538. doi:10.1007/s10439-019-02265-6
  • Çelik, H., Mavili, C., Yılmaz, E., Ünver, E., Öztürk, F., Bulut, S., . . . Cinemre, Ş. A. (2023). Genç basketbol oyuncularında izometrik orta uyluk çekme testinin güvenirliği. Spor Bilimleri Dergisi, 34(2), 59-70. doi:10.17644/sbd.1180205
  • Duarte, M. ve Freitas, S. M. (2010). Revisão sobre posturografia baseada em plataforma de força para avaliação do equilíbrio. Brazilian Journal of Physical Therapy, 14, 183-192.
  • Eagles, A. N., Sayers, M. G. L., Bousson, M. ve Lovell, D. I. (2015). Current methodologies and implications of phase identification of the vertical jump: A systematic review and meta-analysis. Sports Medicine, 45, 1311-1323.
  • Eythorsdottir, I. E. T. (2022). The force platform project: how to compare jump height measured by different force platform systems?
  • Fransz, D. P., Huurnink, A., Kingma, I., Verhagen, E. A. ve van Dieen, J. H. (2013). A systematic review and meta-analysis of dynamic tests and related force plate parameters used to evaluate neuromusculoskeletal function in foot and ankle pathology. Clin Biomech (Bristol, Avon), 28(6), 591-601.
  • García-López, J., Morante, J. C., Ogueta-Alday, A. ve Rodríguez-Marroyo, J. A. (2013). The type of mat (contact vs. photocell) affects vertical jump height estimated from flight time. The Journal of Strength & Conditioning Research, 27(4), 1162-1167.
  • Garnacho-Castaño, M. V., López-Lastra, S. ve Maté-Muñoz, J. L. (2015). Reliability and validity assessment of a linear position transducer. Journal of Sports Science & Medicine, 14(1), 128.
  • Gençoğlu, C., Ulupınar, S., Özbay, S., Turan, M., Savaş, B. Ç., Asan, S. ve İnce, İ. (2023). Validity and reliability of “My Jump app” to assess vertical jump performance: a meta-analytic review. Scientific Reports, 13(1), 20137.
  • González-Badillo, J. J. ve Sánchez-Medina, L. (2010). Movement velocity as a measure of loading intensity in resistance training. International journal of Sports Medicine, 347-352.
  • Hatze, H. (1998). Validity and Reliability of methods for testing vertical jumping performance. Journal of Applied Biomechanics, 14(2), 127-140. doi:10.1123/jab.14.2.127
  • Hopkins, W. G. (2000). Measures of reliability in sports medicine and science. Sports Medicine, 30, 1-15.
  • Hopkins, W. G. (2014). A scale of magnitudes for effect statistics. 2002. A new view of statistics from http://sportsci. org/resource/stats/effectmag. html. Accessed, 1.
  • Hori, N., Newton, R. U., Andrews, W. A., Kawamori, N., McGuigan, M. R. ve Nosaka, K. (2008). Does performance of hang power clean differentiate performance of jumping, sprinting, and changing of direction? The Journal of Strength & Conditioning Research, 22(2), 412-418.
  • İnce, İ. (2019). Effects of split style olympic weightlifting training on leg stiffness vertical jump change of direction and sprint in collegiate volleyball players. Universal Journal of Educational Research, 7(1), 24-31.
  • İnce, I. ve Ulupınar, S. (2020). Prediction of competition performance via selected strength-power tests in junior weightlifters. The Journal of Sports Medicine and Physical Fitness, 60(2), 236-243.
  • İnce, İ., Ulupınar, S. ve Özbay, S. (2020). Body composition isokinetic knee extensor strength and balance as predictors of competition performance in junior weightlifters. Isokinetics and Exercise Science, 28(2), 215-222.
  • James, L. P., Roberts, L. A., Haff, G. G., Kelly, V. G. ve Beckman, E. M. (2017). Validity and reliability of a portable isometric mid-thigh clean pull. The Journal of Strength & Conditioning Research, 31(5), 1378-1386.
  • Kellis, S. E., Tsitskaris, G. K., Nikopoulou, M. D. ve Mousikou, K. C. (1999). The evaluation of jumping ability of male and female basketball players according to their chronological age and major leagues. The Journal of Strength & Conditioning Research, 13(1), 40-46.
  • Keogh, C., Collins, D., Warrington, G. ve Comyns, T. (2020). Intra-trial reliability and usefulness of isometric mid-thigh pull testing on portable force plates. Journal of Human Kinetics, 71(1), 33-45.
  • Królikowska, A., Mika, A., Plaskota, B., Daszkiewicz, M., Kentel, M., Kołcz, A., . . . Reichert, P. (2022). Reliability and validity of the athletic shoulder (ASH) test performed using portable isometric-based strength training device. Biology, 11(4), 577.
  • Lake, J., Mundy, P., Comfort, P., McMahon, J. J., Suchomel, T. J. ve Carden, P. (2018). Concurrent validity of a portable force plate using vertical jump force-time characteristics. J Appl Biomech, 34(5), 410-413. doi:10.1123/jab.2017-0371
  • Lindberg, K., Solberg, P., Bjørnsen, T., Helland, C., Rønnestad, B., Thorsen Frank, M., . . . Paulsen, G. (2022). Strength and power testing of athletes: a multicenter study of test–retest reliability. International journal of Sports Physiology and Performance, 17(7), 1103-1110. doi:10.1123/ijspp.2021-0558
  • Linthorne, N. P. (2001). Analysis of standing vertical jumps using a force platform. American Journal of Physics, 69(11), 1198-1204.
  • Lombard, W., Reid, S., Pearson, K. ve Lambert, M. (2017). Reliability of metrics associated with a counter-movement jump performed on a force plate. Measurement in Physical Education and Exercise Science, 21(4), 235-243.
  • Ludbrook, J. (1997). Special article comparing methods of measurement. Clinical and Experimental Pharmacology and Physiology, 24(2), 193-203.
  • Maffiuletti, N. A., Aagaard, P., Blazevich, A. J., Folland, J., Tillin, N. ve Duchateau, J. (2016). Rate of force development: physiological and methodological considerations. Eur J Appl Physiol, 116(6), 1091-1116. doi:10.1007/s00421-016-3346-6
  • Manske, R. ve Reiman, M. (2013). Functional performance testing for power and return to sports. Sports Health, 5(3), 244-250.
  • Marques, M., Saavedra, F., Abrantes, C. ve Aidar, F. (2011). Associations between rate of force development metrics and throwing velocity in elite team handball players: a short research report. Journal of Human Kinetics, 29(Special-Issue), 53-57.
  • Matheson, L. A., Duffy, S., Maroof, A., Gibbons, R., Duffy, C. ve Roth, J. (2013). Intra- and inter-rater reliability of jumping mechanography muscle function assessments. J Musculoskelet Neuronal Interact, 13(4), 480-486.
  • McLellan, C. P., Lovell, D. I. ve Gass, G. C. (2011). The role of rate of force development on vertical jump performance. The Journal of Strength & Conditioning Research, 25(2), 379-385.
  • Merrigan, J. J., Stone, J. D., Hornsby, W. G. ve Hagen, J. A. (2021). Identifying reliable and relatable force–time metrics in athletes—considerations for the isometric mid-thigh pull and countermovement jump. Sports, 9(1), 4.
  • Merrigan, J. J., Strang, A., Eckerle, J., Mackowski, N., Hierholzer, K., Ray, N. T., . . . Briggs, R. A. (2024). Countermovement Jump Force-Time Curve Analyses: Reliability and Comparability Across Force Plate Systems. The Journal of Strength & Conditioning Research, 2024, 38.1: 30-37.
  • Moir, G. L., Garcia, A. ve Dwyer, G. B. (2009). Intersession reliability of kinematic and kinetic variables during vertical jumps in men and women. International Journal of Sports Physiology And Performance, 4(3), 317-330. doi:10.1123/ijspp.4.3.317
  • Nimphius, S., McGuigan, M. R. ve Newton, R. U. (2010). Relationship between strength, power, speed, and change of direction performance of female softball players. The Journal of Strength & Conditioning Research, 24(4), 885-895.
  • Olds, M., McLaine, S. ve Magni, N. (2023). Validity and Reliability of the Kinvent Handheld Dynamometer in the Athletic Shoulder Test. Journal of Sport Rehabilitation, 1(aop), 1-9.
  • Pardos-Mainer, E., Lozano, D., Torrontegui-Duarte, M., Cartón-Llorente, A. ve Roso-Moliner, A. (2021). Effects of strength vs. plyometric training programs on vertical jumping, linear sprint and change of direction speed performance in female soccer players: a systematic review and meta-analysis. Int J Environ Res Public Health, 18(2). doi:10.3390/ijerph18020401
  • Patoz, A., Lussiana, T., Breine, B., Gindre, C. ve Malatesta, D. (2022). A single sacral-mounted inertial measurement unit to estimate peak vertical ground reaction force, contact time, and flight time in running. Sensors, 22(3), 784.
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  • Peterson Silveira, R., Stergiou, P., Carpes, F. P., Castro, F. A. d. S., Katz, L. ve Stefanyshyn, D. J. (2017). Validity of a portable force platform for assessing biomechanical parameters in three different tasks. Sports Biomechanics, 16(2), 177-186.
  • Prue, P., McGuigan, M. ve Newton, R. (2010). Influence of strength on magnitude and mechanisms of adaptation to power training. Med. Sci. Sports Exerc, 42, 1566-1581.
  • Ramirez-Campillo, R., Andrade, D. C., Nikolaidis, P. T., Moran, J., Clemente, F. M., Chaabene, H. ve Comfort, P. (2020). Effects of plyometric jump training on vertical jump height of volleyball players: a systematic review with meta-analysis of randomized-controlled trial. J Sports Sci Med, 19(3), 489-499.
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  • Silva, M. G., Moreira, P. V. S. ve Rocha, H. M. (2017). Development of a low cost force platform for biomechanical parameters analysis. Research on Biomedical Engineering, 33(3), 259-268. doi:10.1590/2446-4740.01217
  • Souza, A. A., Bottaro, M., Rocha, V. A., Lage, V., Tufano, J. J. ve Vieira, A. (2020). Reliability and test-retest agreement of mechanical variables obtained during countermovement jump. Int J Exerc Sci, 13(4), 6-17.
  • Suchomel, T. J., Techmanski, B. S., Kissick, C. R. ve Comfort, P. (2023). Reliability, validity, and comparison of barbell velocity measurement devices during the jump shrug and hang high pull. Journal of Functional Morphology and Kinesiology, 8(1), 35.
  • Thomas, C., Dos’Santos, T., Comfort, P. ve Jones, P. A. (2017). Between-session reliability of common strength- and power-related measures in adolescent athletes. Sports, 5(1), 15.
  • Thompson, S. W., Rogerson, D., Dorrell, H. F., Ruddock, A. ve Barnes, A. (2020). The Reliability and validity of current technologies for measuring barbell velocity in the free-weight back squat and power clean. Sports, 8(7), 94.
  • Ulupınar, S. ve İnce, İ. (2021). Prediction of competition performance via commonly used strength-power tests in junior female weightlifters. Isokinetics and Exercise Science, 29(3), 309-317.
  • Ulupınar, S. ve İzzet, İ. (2021). Spor Bilimlerinde etki büyüklüğü ve alternatif istatistik yaklaşımları. Spormetre Beden Eğitimi ve Spor Bilimleri Dergisi, 19(1), 1-17.
  • Weyand, P. G., Sandell, R. F., Prime, D. N. ve Bundle, M. W. (2010). The biological limits to running speed are imposed from the ground up. Journal of Applied Physiology, 108(4), 950-961.
Toplam 64 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Konular Antrenman, Spor Biliminde Biyomekanik
Bölüm Makaleler
Yazarlar

İzzet İnce 0000-0002-6566-5201

Proje Numarası THD-2023-2492
Yayımlanma Tarihi 31 Temmuz 2024
Gönderilme Tarihi 31 Ocak 2024
Kabul Tarihi 21 Haziran 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 29 Sayı: 3

Kaynak Göster

APA İnce, İ. (2024). Düşük Maliyetle Geliştirilen Bir Kuvvet Platformunun Doğrulama Çalışması. Gazi Journal of Physical Education and Sport Sciences, 29(3), 124-133. https://doi.org/10.53434/gbesbd.1428875

Gazi Beden Eğitimi ve Spor Bilimleri Dergisi yılda dört kez (Mart, Haziran, Eylül, Aralık) yayımlanan bilimsel ve hakemli bir dergidir.