Summary of 1-Way ANOVA

• Although there are multiple groups, they vary on one independent variable.
• The dependent variable is what the numbers measure. The numbers are dependent on the performance of the subjects.
• The independent variable is what the experimenter manipulates. It is independent of the subjects performance.
• The F is a ratio of the variance between the groups to the variation within the groups.
• The F test assumes that the variation within a group is due to ability and chance.
• The F test assumes that the variation between groups is due to ability, chance, and manipulation of the independent variable.
• The F test assumes that variance due to ability and chance (between and with subjects) will cancel each other out, so that what remains is a measurement of the effect of the independent variable on the dependent variable.
• Mean Squares is a variance term.
• Mean Squares equals Sum of Squares divided by its appropriate degrees of freedom (SS/df)
• Between-Ss degrees of freedom equals the number of groups minus 1 (k-1).
• Within-Ss degrees of freedom equals the total number of people minus the number of groups (N-k).
• Total degrees of freedom equals the total number of people minus 1 (N-1).
• ANOVA stands for ANalysis Of VAriance.