Test choice

3 important questions on Test choice

What are the misuses of p-value?

  1. Large p-value means no difference: wrong
    • p-value decreases when sample size increases
    • absence of evidence is not evidence of absence
  2. Multiple testing & 0.05
    • doing experiment 100 times and finally succeed, can 0,05 be used
    • 1 dataset: many models to test which hypothesis fits best, can 0.05 be used? Type I error
    • Multiple testing: Bonferroni correction for example
  3. Smaller p-value is more significant? Not necessarily
    • effect size is also important

How do you add more than 1 independent variable?

  • First: 1 by 1 and look at the effect
    • this is often not final result: high change of Type I error
  • Then variable together: Forward and Backward
    • forward: start with 1 and add 1 by 1
    • backward: start with all and drop 1 by 1
  • stop when model has only significant variables

What do you base you selection of a model on?

  • Hypothesis
  • p-values for independent variables
  • effect size
  • adjusted R^2
  • information criteria: AIC

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