One-way Analysis of Variance (ANOVA): F-test for treatment effect; post-hoc procedures for comparisons of treatment pairs; non-parametric alternative (F-test on ranks)

5 important questions on One-way Analysis of Variance (ANOVA): F-test for treatment effect; post-hoc procedures for comparisons of treatment pairs; non-parametric alternative (F-test on ranks)

What is variance in statistics?

Variantie meet de gemiddelde kwadratische afwijking van het gemiddelde.
Intuïtief Stel je hebt twee groepen cijfers:
  • Groep A: 49, 50, 51, 50
  • Groep B: 10, 30, 50, 70
Beide hebben ongeveer hetzelfde gemiddelde, maar:
  • Groep A zit dicht bij elkaar → lage variantie
  • Groep B zit ver uit elkaar → hoge variantie

What is experiment wise error?

de kans op minstens één Type I fout over alle vergelijkingen in een experiment, en die groeit als je meerdere tests doet zonder correctie.

Why is it questionable to use experiment-wise error control zoals Tukey of Bonferroni?

It questionable to use experiment-error control such as Tukey or Bonferroni, since they test are there to ensure you don't have a false positive result. It makes the test a bit too conservative, especially if you have a lot of treatment, and increases the chance of type II errors
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What is the meaning of F protection?

F-protection means you only perform LSD pairwise comparisons after a significant overall ANOVA F-test confirms that not all means are equal.

What is the difference between a Tukey test and a Fisher LSD?

The tukey test is even more conservative than a fisher lsd. Tukey offers full experimentwise error protection

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