Nonlinear relationships between anthropometric and physical fitness variables in untrained pubescent boys. 2013

Natasa Zenić, and Nikola Foretić, and Mateo Blazević
University of Split, Faculty of Kinesiology, Split, Croatia. natasazenic@yahoo.com

Previous studies evidently actualized nonlinear regressions as a step forward in defining the true nature of the relationships between anthropometric and physical fitness (PF) variables in trained subjects. In this paper we have sampled 1176 nontrained boys aged 14-16 years and tested them on (1) five anthropometric predictors, including: body height, body weight, triceps skinfold, upper arm circumference, and body mass index (BMI); and (2) five PF criteria measuring: static (static strength) and dynamic muscle endurance (repetitive strength), aerobic endurance, explosive strength, and coordination. Linear (y = a + bx) and nonlinear (second-order polynomial: y = a + bx + cx2) regressions were calculated simultaneously. BMI is found to be the most significant anthropometric predictor of PF status. Although the calculation and interpretation of nonlinear regressions are far more complicated in comparison to those of linear regressions, the variance of the criteria are in some cases far better explained through a significant nonlinear model. Even more, we have found evidence that an exclusive discussion of the linear correlation model could lead to serious interpretative mistakes. This mostly relates to the fact that a linear regression model implies a continuous relationship (dependence) between the predictor and the criteria, while a nonlinear one effectively identifies possible breakpoints in the regression line and consequently highlights the real nature of the relationship between variables.

UI MeSH Term Description Entries
D008297 Male Males
D010809 Physical Fitness The ability to carry out daily tasks and perform physical activities in a highly functional state, often as a result of physical conditioning. Fitness, Physical
D011627 Puberty A period in the human life in which the development of the hypothalamic-pituitary-gonadal system takes place and reaches full maturity. The onset of synchronized endocrine events in puberty lead to the capacity for reproduction (FERTILITY), development of secondary SEX CHARACTERISTICS, and other changes seen in ADOLESCENT DEVELOPMENT. Puberties
D012044 Regression Analysis Procedures for finding the mathematical function which best describes the relationship between a dependent variable and one or more independent variables. In linear regression (see LINEAR MODELS) the relationship is constrained to be a straight line and LEAST-SQUARES ANALYSIS is used to determine the best fit. In logistic regression (see LOGISTIC MODELS) the dependent variable is qualitative rather than continuously variable and LIKELIHOOD FUNCTIONS are used to find the best relationship. In multiple regression, the dependent variable is considered to depend on more than a single independent variable. Regression Diagnostics,Statistical Regression,Analysis, Regression,Analyses, Regression,Diagnostics, Regression,Regression Analyses,Regression, Statistical,Regressions, Statistical,Statistical Regressions
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000293 Adolescent A person 13 to 18 years of age. Adolescence,Youth,Adolescents,Adolescents, Female,Adolescents, Male,Teenagers,Teens,Adolescent, Female,Adolescent, Male,Female Adolescent,Female Adolescents,Male Adolescent,Male Adolescents,Teen,Teenager,Youths
D000886 Anthropometry The technique that deals with the measurement of the size, weight, and proportions of the human or other primate body.
D016014 Linear Models Statistical models in which the value of a parameter for a given value of a factor is assumed to be equal to a + bx, where a and b are constants. The models predict a linear regression. Linear Regression,Log-Linear Models,Models, Linear,Linear Model,Linear Regressions,Log Linear Models,Log-Linear Model,Model, Linear,Model, Log-Linear,Models, Log-Linear,Regression, Linear,Regressions, Linear
D017711 Nonlinear Dynamics The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos. Chaos Theory,Models, Nonlinear,Non-linear Dynamics,Non-linear Models,Chaos Theories,Dynamics, Non-linear,Dynamics, Nonlinear,Model, Non-linear,Model, Nonlinear,Models, Non-linear,Non linear Dynamics,Non linear Models,Non-linear Dynamic,Non-linear Model,Nonlinear Dynamic,Nonlinear Model,Nonlinear Models,Theories, Chaos,Theory, Chaos
D041923 Adolescent Development The continuous sequential physiological and psychological changes during ADOLESCENCE, approximately between the age of 13 and 18. Development, Adolescent

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