The one way anova is constructed around the concept of determining goodness of fit between explanatory and outcome variable.

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The one-way ANOVA is a statistical test used to determine if there is a significant difference between the means of two or more independent (unrelated) groups. It is used to test the null hypothesis that the means of the groups are equal. The one-way ANOVA is constructed around the concept of determining the goodness of fit between an explanatory variable (also known as an independent variable) and an outcome variable (also known as a dependent variable). The explanatory variable is used to explain the variation in the outcome variable. The one-way ANOVA is used to determine if the means of the groups are significantly different from each other.