Two-way ANOVA, also called two-factor ANOVA, determines how a response is affected by two factors. For example, you might measure a response to three different drugs in both men and women. In this example, drug treatment is one factor and gender is the other. If each subject was only assessed once (different subjects got different drugs), and the males and females are not paired in some way (spouses, brother-sister), then you have ordinary (not repeated measures) two-way ANOVA.