Match the following ANOVA terms to their definition Variabil

Match the following ANOVA terms to their definition:

Variability between groups; difference of group means from one group to another (e.g. Group A vs. Group B vs. Group C, etc.). Answer 1
Degrees of Freedom for SSB Answer 2
The denominator for MSE Answer 3
F-Statistic; test to calculate the variance between groups versus within groups. Answer 4
Variability within a group; difference between each observation and its group mean. Answer 5

Solution

An F statistic is a value you get when you run an ANOVA test or a regression analysis to find out if the means between two populations are significantly different.

variability between groups:

is used compare the means for n independent groups on a dependent variable.

The variance due to the interaction between the samples is denoted MS(B) for Mean Square Between groups. This is the between group variation divided by its degrees of freedom

variablitiy Within-a group designs are appropriate for pretest-posttest type designs. With this design, subjects are observed prior to any treatment, then they receive a treatment, and finally they are observed at posttest. It is possible to extend this design to include a retention test at a later time.