ANOVA – Fresh Take

  • Complete a one-way ANOVA hypothesis test
  • Write the conclusion of a one-way ANOVA hypothesis test in context of the problem

steps for one-way ANOVA

  1. Set up the null and alternative hypotheses.
  2. Check the conditions/assumptions for the ANOVA hypothesis test.
    • The right types of data—factor of interest should be categorical, and the response variable should be numeric and continuous
    • Similar levels of variability
    • Randomly assigned, independent groups
  3. Calculate the [latex]F[/latex]-statistic.
  4. Calculate the P-value.
  5. Compare the P-value to the significance level, [latex]\alpha[/latex], to make a decision.
  6. Write a conclusion in context (e.g., we do/do not have convincing evidence…).