What is Analysis of Variance (ANOVA) and how does it compare to one- and two-sample tests?

ANOVA stands for 'analysis of variations'. A one-way ANOVA is a hypothesis testing

technique used to compare means from 3 or more populations.

A two-way ANOVA test is when you want to test the effect of two independent

variables, or factors, on one dependent variable. The conditions for a two way ANOVA are

the same as in a one-way with the additional condition that all samples are the same size.

A two-way ANOVA has 3 null hypotheses. Two for each main effect and one for the

interaction effect. The main effect is the effect of one independent variable on the

dependent variable and the interaction effect is the effect of both independent

variables on the dependent variable.

Read all about it in a beginning stats text or Google it. Most calculators do ANOVA tests.

So, unless for some silly reason you are made to, do not struggle through the tedious

formulas. Excel does them if you do not have a calculator that does.