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Perfoming ANOVA test using orthogonal contrasts

  1. Feb 13, 2015 #1
    I have to test treatments B,C,D and E where ##H_0:\mu_B=\mu_C=\mu_D=\mu_E## vs ## H_1: not H_0##. Use ##\alpha=0.05## given this problem. 1.png

    Now ##\mu_A## is not included in the hypothesis so I am trying to figure out how to go about this problem. I was thinking of using orthogonal contrasts and this is what I came up with.
    contrast.jpg
    ##C_1-C_4## are my 4 orthogonal contrasts (all pairwise) for the ##5## treatments. The part that confuses me is what to do with ##\mu_A## since it was never included in the null hypothesis? Also i'm guessing that I test C1-C4 to see if I can violate the null hypothesis but what if each of my contrasts support the null hypothesis? There should be a better way of doing this problem I think. I am not sure if I was to ask this question here, but since this deals with statistics I asked it here. Thanks.

    Edit- I just noticed that my contrasts are not linear independent. I will have to come up with new ones.
     
    Last edited: Feb 13, 2015
  2. jcsd
  3. Feb 18, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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