Coefficient of Determination

 

Location:

Report Variable (Peak Calibration)

Type:

Floating point number

Dimension:

%

Value Range:

0 - 1

Default:

 

Related Parameters:

Correlation Coefficient,

DOF-Adjusted Coefficient of Determination

Description:

Use this variable to display the Coefficient of Determination, which reflects the deviation of the measured data points from the calibration curve. The coefficient of determination can have any value between 0 and 1 (0 to 100%). A coefficient of 1 indicates that all calibration points are exactly on the calibration curve.

Function:

Use the following formula to calculate the coefficient of determination:

With:

N

Number of standard samples participating in the calibration

 

i

Index for standard samples

 

Wi

Weight factor of the standard sample no. i

 

F(x)

Model function of the calibration

 

Xi

X-value of the standard sample no. i

 

Yi

Y-value of the standard sample no. i

 

Weighted average of all Y-values.

 Tip:

 

For a linear calibration plot that is not forced through the origin, the coefficient of determination is identical to the squared Correlation Coefficient. In all other cases, this does not apply.