SSD Calculator

This function calculates the sum of the squared deviations of two data series. The sum of squared deviations (SSD), also known as the squared deviation, is the sum of the squared deviations of the measured values from their arithmetic mean.

To calculate, enter the values of serie X and serie Y. The individual numbers are separated by semicolons or spaces. Then click on the 'Calculate' button.

SSD Formula

\(\displaystyle d_{\mathbf{SSD}} : (x, y) \mapsto \|x-y\|_2^2 \) \(\displaystyle = \langle x-y, x-y\rangle = \sum_{i=1}^{n} (x_i-y_i)^2 \)

Example

\(\displaystyle x= 1+2+3+4+5 \)

\(\displaystyle y= 3+5+6+7+3 \)

\(\displaystyle SSD=|3-1|^2+|5-2|^2+|6-3|^2+|7-4|^2+|3-5|^2\)

\(\displaystyle \;\;\;\;\;\;\;\;\;\;=2^2+3^2+3^2+3^2+2^2\)

\(\displaystyle \;\;\;\;\;\;\;\;\;\;=4+9+9+9+4 = 35\)