ATTRACTIVENESS RATINGS

INPUT   DATA ♥ EXAMPLE Of Input/Output

Title  

Body Mass Index, BMI   kg/m2

       

Waist-to-Hips Ratio, WHR    
Waist-to-Chest Ratio, WCR    
Volume-to-Height Index, VHI   liters/m2 

     Reset

OUTPUT   VARIABLES   &   GRAPHS

Variables   Values   Scaled: 0.0 => 1.0
 ♦  Attractiveness RatingTovee  
 ♦  Attractiveness RatingSmith    
 ♦  Attractiveness RatingFan    
 ♦  Attractiveness RatingBCI  
THEORY  &   FORMULAE

Attractiveness Derived From Anthropometric Measures

The anthropometric measures (BMI, WHR, WCR and VHI) are major determinant of physical attractiveness of a woman. A number of researchers have recently attempted to establish mathematical relationships between attractiveness and one or combinations of these measures.

1. Attractiveness Rating Equation by Tovee & others.

bmi_eq Tovee & others have researched and produced a graph relating human female attractiveness to BMI. The graph of their results shows a smooth trend-line that peaks at BMI of 19 - 20. Attractiveness seems to drop sharply below BMI of 17, and it drops gradually for BMI values over 25.

Scaled Tovee's Attractiveness Rating
Here, we will scale the Attractiveness rating to vary from zero (minimum) to 1.0 (maximum). This is achieved as the Attractive rating in the graph divided by the maximum rating (=5).








2. Attractiveness Rating Equation by Smith & others

Smith et al have provided a quadratic equation relating female attractiveness to WHR, WCR and BMIPAR:

smith_eq
(this published equation gives a lot higher value than expected; authors have been contacted for verification)

BMIPAR, is the area of the body divided by the perimeter length around the edge of the body. BMIPAR has been shown to be an accurate proxy for BMI. We derived the following linear equation from the BMI-vs-BMIPAR graph as:

BMIPAR = 17.25 + 0.0714*BMI.

Scaled Smiths's Attractiveness Rating

Here, we will scale the Attractiveness rating to vary from zero (minimum) to 1.0 (maximum). This is achieved as the Attractive rating calculated from the equation divided by the peak rating (=???).

3. Attractiveness Rating Equation by Fan & others
VHI-e

Research by Fan et al have indicated that the body volume divided by the square of height, defined as Volume Height Index (VHI), is the most important and direct visual determinant of female physical attractiveness. Attractiveness Rating can be related to VHI by the following fitted two-half bell-shaped exponential equations.

Scaled Fan's Attractiveness Rating

Here, we will scale the Attractiveness rating to vary from zero (minimum) to 1.0 (maximum). This is achieved as the Attractive rating in the graph divided by the maximum rating (=8).





4. Attractiveness Rating based on Body Curviness Index (BCI)

There's no doubt that a slim waistline between shapely hips and prominent breasts makes a woman highly appealing, this is regardless of the woman's overall body size and weight. Colloquially, people refer to female body which has significant and pleasing constrasts between the chest, waist and hips as "curvy". Other terms used to describe such body contours include: bosomy, busty, buxom, curvaceous, full-bosomed, well-endowed, stacked, voluptuous, shapely.

Until now, there is no known methodology or biometric parameter for quantifying and thus comparing the relative curviness of two or more female bodies. Hand gestures are often used to describe the hourglass shape of a woman. Significant body curves usually occur at the breasts, waistline and hips. Each curve adds to the curviness of the body, the total curviness would involve some sort of aggregation of the curviness contributions of each curve.

Here we propose to the world for the first time (Jan-2008) a simple index (BCI) for the describing the overall female body contour (details to appear in the literature):

BCI = ([C*H]/[W*W]) - 1   = [1 - WHR*WCR]/[WHR*WCR];

where
   C = chest circumference;    W = waist circumference;    H = hips circumference;    WHR = W/H = waist-to-hips ratio;    WCR = W/C = waist-to-chest ratio.

The BCI has the following features:
    - The higher the index the curvier the body
    - Zero value implies a tubular body; chest=waist=hips circumference
    - Negative value implies that the waist has the widest circumference (barrel-shaped, obese, pregnant)
    - Minimum theoretically possible negative value is -1.0
    - Value of 1.0 corresponds to Singh's peak attractiveness rating: WHR = WCR = 0.7
    - Value of 1.25 corresponds to the classical beauty queens' vital statistics of 36-24-36.
    - Letter "C" or "H" is appended to the Index to uniquely indicate whether the subject is widest at the Chest or the Hips. Thus one will be able to distinguish between triangular and inverted-triangular body shapes having the same BCI.
BCI

Scaled BCI Rating

Here, we will scale the BCI Attractiveness rating to vary from zero (minimum) to 1.0 (maximum) as follows: BCI values between 0 and 1 remains unchanged; a value less than 0 is set to zero (tubular or preganant shapes are all set to non-curvy); a value greater than 1 is set to one (curvy and very very curvy are lumped together as curvy).



Tips

    ◊ Use link EXAMPLE Of Input/Output  to demo data entry expectations and results; you may edit & use it as starting point

BIBLIOGRAPHY
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