analysis of variance

A group of statistical techniques that test the difference of means between three or more groups. This is an extension of Student t-test statistic

Type

• one-way ANOVA: compares the means of 1 continuous dependent variable in three or more groups that are represented by 1 categorical variable.
• two-way ANOVA: compares the means of 1 continuous dependent variable in three or more groups that are represented by 2 or more categorical variables.

Notice that relationships are unpacked into pairs of hypotheses below

Combination of tests

1. Conduct simple regression to determine IF and by HOW MUCH independent variables impact the dependent variable
2. Then we use Student t-test statistic or analysis of variance to test if the relationship identified is due to chance. Student t-test statistic can test if two means (from two groups) are statistically different, ANOVA can apply to categorical variables (where each has more than 2 groups)
3. Then we can conduct post-hoc test like Turkey’s HST