Enter the number of scores in each group, the mean score for each group, and the grand mean into the calculator to determine the sum of squares between groups.
Ss Between Formula
The following formula is used to calculate the sum of squares between groups (SSB).
SSB = Σ n * (M - GM)^2
Variables:
- SSB is the sum of squares between groups
- n is the number of scores in each group
- M is the mean score for each group
- GM is the grand mean (the mean score of all scores)
To calculate the sum of squares between groups, subtract the grand mean from the mean score for each group, then square the result. Multiply this by the number of scores in each group. Sum all these values to get the sum of squares between groups.
What is Ss Between?
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.
How to Calculate Ss Between?
The following steps outline how to calculate the Sum of Squares Between (SSB) using the given formula:
- First, determine the number of scores in each group (n).
- Next, calculate the mean score for each group (M).
- Then, calculate the grand mean (GM), which is the mean score of all scores.
- Next, subtract the grand mean from each mean score for each group (M – GM).
- Then, square the result from step 4 for each group (M – GM)^2.
- Finally, sum up all the squared differences from step 5 to calculate the Sum of Squares Between (SSB).
Example Problem:
Use the following variables as an example problem to test your knowledge:
Number of scores in each group (n) = 5
Mean score for each group (M) = 80
Grand mean (GM) = 75
Using the formula SSB = Σ n * (M – GM)^2, calculate the Sum of Squares Between (SSB).
