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Home Q & A Board Science-Related Homework Help Mathematics Statistics and Probability
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Catracho Catracho
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5 years ago
Explain the assumptions that must be satisfied in order to validly use the one-way ANOVA formulas.
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#1
Staff Member
5 years ago
From Wikipedia:

The results of a one-way ANOVA can be considered reliable as long as the following assumptions are met:

  • Response variable residuals are normally distributed (or approximately normally distributed).
  • Variances of populations are equal.
  • Responses for a given group are independent and identically distributed normal random variables (not a simple random sample).

If data are ordinal, a non-parametric alternative to this test should be used instead. If the variances are not known to be equal, a generalization of 2-sample Welch's t-test can be used.

Hope this helps!
Ask another question, I may be able to help!
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#2
Educator
5 years ago
@Catracho

Please mark this topic solved if satisfied with the answer
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#3
Staff Member
2 years ago

Ask another question, I may be able to help!
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