When testing for significance among three or more groups, it may be difficult to determine where the significant differences are in a dataset. An Analysis of Variance (ANOVA) can pinpoint the difference(s). The correct option is B.
Analysis of variance is a collection of statistical models and the estimation procedures that go with them that are used to analyze the differences between means. Ronald Fisher, a statistician, invented ANOVA. ANOVA is a method for determining whether the means of two groups differ. Inferential statistics uses samples to infer population properties. Statistical tests such as ANOVA assist us in determining whether sample results are applicable to populations.
The null hypothesis in ANOVA states that there is no difference between group means. The ANOVA will report a statistically significant result if any group differs significantly from the overall group mean. ANOVA is a statistical method that divides observed variance data into different components for use in additional tests. For three or more groups of data, a one-way ANOVA is used to learn about the relationship between the dependent and independent variables.
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