Answer:
In a one-way ANOVA, the is calculated by taking the squared difference between each person and their specific groups mean, while the
is calculated by taking the squared difference between each group and the grand mean.
Step-by-step explanation:
The one-way analysis of variance (ANOVA) is used "to determine whether there are any statistically significant differences between the means of two or more independent groups".
The sum of squares is the sum of the square of variation, where variation is defined as the spread between each individual value and the mean.
If we assume that we have p groups and each gtoup have a size then we have different sources of variation, the formulas related to the sum of squares are:
A measure of total variation.
A measure of variation between each group and the grand mean.
A measure of variation between each person and their specific groups mean.