Chapter 11 Regression Analysis in Body Composition Research
Correlation b Measures the strength of association or relationship between two variables
Correlation Coefficients b +1 Perfect positive correlation b 0 No relationship b -1Perfect negative correlation
Graphs of Correlations
Regression b Attempts to predict one variable from another
Bivariate Regression b A statistical method used to predict one variable from another variable
Multiple Regression b A statistical method used to predict one variable from two or more variables
Independent and Dependent Variables b Dependent variable (DV) Variable that is being measured for changeVariable that is being measured for change b Independent variable (IV) Variable(s) used to change DVVariable(s) used to change DV
Line of Best Fit b A regression line depicting a linear relationship between the DV variable and all of the predictor variables in the regression equation
Validity b 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 b 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 b 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 b Should only be used to estimate the body composition of individuals from a specific group b Major problem in body comp analysis is applying the incorrect equation to a population
General-Prediction Equations b May be used to estimate the body composition of individuals varying in age, gender, ethnicity, fatness, or physical activity level.
Selection b To judge the worth of newly developed body composition methods and prediction equations, one should use standard evaluation criteria.
Bland and Altman Method b Used to compare methods and to evaluate how well an equation works for estimating body composition of individuals within a group.