This document provides an overview of one-way analysis of variance (ANOVA). It begins by explaining the basic concepts and settings for ANOVA, including comparing population means across three or more groups. It then covers the hypotheses, ideas, assumptions, and calculations involved in one-way ANOVA. These include splitting total variability into parts between and within groups, computing an F-statistic to test if population means are equal, and potentially performing multiple comparisons between pairs of groups if the F-test is significant. Worked examples are provided to illustrate key ANOVA concepts and calculations.