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Chapter 11. Regression Analysis in Body Composition Research. Correlation. Measures the strength of association or relationship between two variables. Correlation Coefficients. +1 Perfect positive correlation 0 No relationship -1 Perfect negative correlation. Graphs of Correlations.
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Chapter 11 Regression Analysis in Body Composition Research
Correlation • Measures the strength of association or relationship between two variables
Correlation Coefficients • +1 Perfect positive correlation • 0 No relationship • -1 Perfect negative correlation
Regression • Attempts to predict one variable from another
Bivariate Regression • A statistical method used to predict one variable from another variable
Multiple Regression • A statistical method used to predict one variable from two or more variables
Independent and Dependent Variables • Dependent variable (DV) • Variable that is being measured for change • Independent variable (IV) • Variable(s) used to change DV
Line of Best Fit • A regression line depicting a linear relationship between the DV variable and all of the predictor variables in the regression equation
Validity • All body composition methods and prediction equations need to be validated and cross-validated to determine their applicability and suitability for use in the field.
Standard Error of the Estimate • A type of prediction error that reflects the degree of deviation of individual data points around the line of best fit (regression line).
Total (Pure) Error • A type of prediction error that reflects the degree of deviation of individual data points around the line of identity (perfect positive relationship - slope =1)
Population-Specific Equations • Should only be used to estimate the body composition of individuals from a specific group • Major problem in body comp analysis is applying the incorrect equation to a population
General-Prediction Equations • May be used to estimate the body composition of individuals varying in age, gender, ethnicity, fatness, or physical activity level.
Selection • To judge the worth of newly developed body composition methods and prediction equations, one should use standard evaluation criteria.
Bland and Altman Method • Used to compare methods and to evaluate how well an equation works for estimating body composition of individuals within a group.