SS Between Calculator

Calculate SS Between Groups





Formula

To calculate the Sum of Squares Between (SSB):

\[ SSB = \sum n \cdot (M - GM)^2 \]

Where:

SS Between Definition

SS Between, also known as Sum of Squares Between, is a statistical measure used in analysis of variance (ANOVA). It quantifies the variability between group means in a dataset. In other words, it measures how much each group's mean differs from the overall mean of the data. A larger SS Between indicates a greater difference between group means, suggesting that the grouping variable has a significant effect on the data.

Example Calculation 1

Let's assume the following values:

Using the formula:

\[ SSB = 5 \cdot (10 - 20)^2 + 5 \cdot (20 - 20)^2 + 5 \cdot (30 - 20)^2 = 500 + 0 + 500 = 1000 \]

The Sum of Squares Between (SSB) is 1000.

Example Calculation 2

Let's assume the following values:

Using the formula:

\[ SSB = 3 \cdot (15 - 25)^2 + 4 \cdot (25 - 25)^2 + 3 \cdot (35 - 25)^2 = 300 + 0 + 300 = 600 \]

The Sum of Squares Between (SSB) is 600.