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When using the term One-way Analysis of Variance, what does the one-way refer to? What does that mean? When conducting a two-way (or higher order)

  1. When using the term "One-way Analysis of Variance", what does the "one-way" refer to? What does that mean?
  2. When conducting a two-way (or higher order) analysis of variance, does it matter if the factor variables have a significant interaction? Why or why not?
  3. In what circumstance could you use a t-test OR an F-test and get the same result?
  4. Let's say you ran an analysis of covariance and found that the covariate is significant. Does that mean a one-way ANOVA ignoring that covariate is accurate or not?

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