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One-way ANOVA Inference for one-way ANOVA - page 5 / 41

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We first examine the multiple populations or multiple treatments to test for overall statistical significance as evidence of any difference among the parameters we want to compare. ANOVA F-test

If that overall test showed statistical significance, then a detailed follow-up analysis is legitimate.

If we planned our experiment with specific alternative hypotheses in mind (before gathering the data), we can test them using contrasts.

If we do not have specific alternatives, we can examine all pair-wise parameter comparisons to define which parameters differ from which, using multiple comparisons procedures.

An Overview of ANOVA

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