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What is the main difference between one-way and composite analysis of variance? What is one-way Analysis of Variance used for? If you want to test

What is the main difference between one-way and composite analysis of variance?

What is one-way Analysis of Variance used for?

If you want to test the equality of three means on a sample, why can't we do three separate hypothesis tests for:

1 = 2; 2 = 3; 1 = 3

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