#StackBounty: #statistical-significance #sample-size #power Figuring out how many participants I need

Bounty: 50

I have a test of a skill which will return a value between 0 and 30 for a participant as a measure of that skill. I have five ordinal groups of participants (they are corresponding to university level attainment – first years, honours students, PhD students, etc) and I intend to have a number of participants from each group take the test. I then intend on performing an ANOVA to investigate the difference in skill level across each group.

Although I have an idea of what I want to do, I want to be clear on a few of things:

  1. How can I determine that my results are statistically significant?
  2. How many participants should I take from each group (which are of varying sizes) to ensure that my results are reliable?
  3. How would I go about calculating the statistical power of the experiment?

Get this bounty!!!

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