Hypothesis test for the difference of the difference of means?

  • Thread starter CaptainP
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  • #1
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Hello all,

Consider 3 different samples. Each sample is independent.

1: 23, 25, 21, 22, 21, 22, 20, 23, 19, 22, 19, 21
2: 28, 27, 27, 29, 26, 29, 27, 30, 28, 27, 26, 29
3: 23, 20, 25, 21, 22, 23, 21, 20, 19, 20, 22, 21

I am being asked to test whether μ2 - μ1 = μ3 - μ2 with 99% confidence. How am I meant to perform this test? I know how to test for the difference of means, that's quite simple, but how does one test for the difference of differences?
 

Answers and Replies

  • #3
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ANOVA tests whether the means of all samples are the same, so in this case an ANOVA test would test whether μ1 = μ2 = μ3. I need something rather different, testing whether the differences between specific pairs are equal.
 
  • #4
WWGD
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Sorry I misread the post.
 

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