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As with any statistical method, **Two-Way ANOVA** has its assumptions and limitations. It's essential to understand these before you dive in. First, the data should be normally distributed within each group. This means that the distribution of your dependent variable should resemble a bell curve. This assumption is not always strict, but it is important to take it into account. Secondly, the variances within each group should be approximately equal (homogeneity of variance). You can test this using Levene's test. If the variances are significantly different, you might need to use a non-parametric alternative or transform your data. Thirdly, the data points should be independent of each other. This means that one data point should not influence another. For example, the test scores of one student should not influence the test scores of another student. Lastly, the dependent variable should be continuous. This means that it should be measured on a scale that allows for fractional values (e.g., height, weight, or test scores).
