Anova: two way & interactions - Tutorial

7 important questions on Anova: two way & interactions - Tutorial

What are the consequences of continuing a GLM in the case that the variances are unequal?

  1. the power of your test reduces
  2. the chance of committing a Type II error increases
    • it would rapidly lead to accepting your null hypothesis; there is no difference

Can an anova be used for cases where you have 2 groups?

Yes.

Can non parametric tests be used for cases where you have a normal distribution in your data?

Yes, they are very robust, not the strongest, but they can handle any type of data distibution
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How many null-hypothesis are you testing when you have an anova with 2 independent variables?

4
  • 2 per variable
  • interaction between the 2 variables
  • intercept (regression)


  1. There is no difference in starling masses between sexes
  2. There is no difference in staling masses between seasons
  3. There is no interaction effect of sex and season of body mass
  4. The intercept is not equal to zero

If you do a one-way anova twice, instead of a 2-factor anova once, which error are you making?

A type II error.

Why if you are working with large datasets can the test for normality can not be trusted?

Shapiro-Wilk, performs best with smaller sample sizes, because relatively small deviations from normality are already enough to yield significant test results (p<0.05), indicating that the dataset supposedly deviates significantly from normality.

What do you do when you are working with large datasets?

NOT carry out a normality test, but on the basis of the histograms decide that the data do approach a normal distribution and that carrying out a (2-way) Anova is allowed.

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