Statistics › Section M · The F distribution and ANOVA › Topic M.1

One-way ANOVA and the F ratio

Two groups were compared with t tests; three or more demand a bigger instrument. Analysis of variance asks whether several group means differ by weighing variation BETWEEN the groups against variation WITHIN them - one F ratio, one verdict.

In this topic

  • Three means, one question
  • The idea: between versus within
  • The F ratio
  • Computing the pieces
  • Worked example: three teaching methods
  • Worked example: reading the methods' verdict
  • The ANOVA table
  • Conditions
  • Common mistakes to avoid
  • Key takeaways

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