A PREDICTION EQUATION FOR ESTIMATING BODY FAT PERCENTAGE IN WOMEN USING SIMPLE MEASURES 1056
Larry A. Tucker, Denise S. Demers, PA Kelly
Abstract
Larry A. Tucker, Denise S. Demers, PA Kelly
Abstract
To develop a regression equation to predict body fat percentage (BF%) using simple measures, 200 white women, 20-65 yrs, were equally distributed across four age categories, and within each age category, three BMI categories. All were hydrostatically weighed and residual volumes, circumferences, and lifestyles were assessed. Estimation and cross-validation groups were formed randomly. A regression model was created using the estimation group and the equation was then cross-validated using the second group with excellent results: R=0.91, SEE=3.5%. Equations from the two groups were statistically equivalent, so the groups were combined and a final equation was developed using the total sample: BF%=0.001637 (Age2) + 1.087765 (A) + 0.582779(BMI) + 2.041608 (Hip) - 0.741206 (B) - 0.612696 (Neck) - 0.007792(Hip2) - 0.500325 (C) - 93.236853. Question A was “Compared to other women your age, how physically active are you?” with responses[1-7]: extremely (ex.) active, very (v.) active, active, in between, inactive, v. inactive, ex. inactive. Question B was “How careful are you concerning what you eat?” with responses [1-6]: ex. careful, v. careful, somewhat careful, not v. careful, rather laxed, v. laxed. Question C was“How difficult would it be for you to rapidly jog 2 miles without stopping?” with responses [1-7]: ex. difficult, v. difficult, difficult, in between, easy, v. easy, ex. easy. BMI: wt in kg. ÷ (ht in m.)2. Hip: circumference in cm. around the buttocks at the largest point. Neck: circumference in cm. taken at a right angle to the long axis of the neck just inferior to the laryngeal prominence. A simpler model was also created without the neck measure with virtually the same SEE. The findings indicate that BF% can be accurately estimated across a variety of white women using simple measures.
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To develop a regression equation to predict body fat percentage (BF%) using simple measures, 200 white women, 20-65 yrs, were equally distributed across four age categories, and within each age category, three BMI categories. All were hydrostatically weighed and residual volumes, circumferences, and lifestyles were assessed. Estimation and cross-validation groups were formed randomly. A regression model was created using the estimation group and the equation was then cross-validated using the second group with excellent results: R=0.91, SEE=3.5%. Equations from the two groups were statistically equivalent, so the groups were combined and a final equation was developed using the total sample: BF%=0.001637 (Age2) + 1.087765 (A) + 0.582779(BMI) + 2.041608 (Hip) - 0.741206 (B) - 0.612696 (Neck) - 0.007792(Hip2) - 0.500325 (C) - 93.236853. Question A was “Compared to other women your age, how physically active are you?” with responses[1-7]: extremely (ex.) active, very (v.) active, active, in between, inactive, v. inactive, ex. inactive. Question B was “How careful are you concerning what you eat?” with responses [1-6]: ex. careful, v. careful, somewhat careful, not v. careful, rather laxed, v. laxed. Question C was“How difficult would it be for you to rapidly jog 2 miles without stopping?” with responses [1-7]: ex. difficult, v. difficult, difficult, in between, easy, v. easy, ex. easy. BMI: wt in kg. ÷ (ht in m.)2. Hip: circumference in cm. around the buttocks at the largest point. Neck: circumference in cm. taken at a right angle to the long axis of the neck just inferior to the laryngeal prominence. A simpler model was also created without the neck measure with virtually the same SEE. The findings indicate that BF% can be accurately estimated across a variety of white women using simple measures.
Key concepts: Circumference, Statistics, Mathematics, Regression analysis, Demography, Medicine, Simple linear regression, Residual