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You are asked to compare three sample groups, which hypothesis test do you use? Using your...

You are asked to compare three sample groups, which hypothesis test do you use?

Using your own words, give 3 reasons why.

Provide a real-life example for each reason to support your explanation

Math   Statistics-And-Probability   
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Answer #1

I would use the one-way analysis of variance (ANOVA) test. The one-way analysis of variance (ANOVA) is used to determine whether there are any statistically significant differences between the means of two or more independent (unrelated) groups.

  1. The-way ANOVA can be used to test for differences among at least three groups.
  2. It prevents the Type I error.
  3. It is very reliable even when the assumptions are violated.

For example, a researcher wishes to know whether different pacing strategies affect the time to complete a marathon. The researcher randomly assigns a group of volunteers to either a group that (a) starts slow and then increases their speed, (b) starts fast and slows down or (c) runs at a steady pace throughout. The time to complete the marathon is the outcome (dependent) variable. Here, we have 3 groups, so we need to perform the one-way analysis of variance (ANOVA) test.

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