Tests of Linear Combinations of Means, Independent Groups (6 of 7)

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Summary of Computations

1. Specify the null and alternate hypotheses. This is done by choosing the coefficients (a's). The null hypothesis is Σa_iµ_i = 0. The alternate hypothesis is Σa_iµ_i ≠ 0. (On rare occasions, the null hypothesis will be that Σa_iµ_i is some value other than zero.)
   
   
2. Compute L = Σa_iM_i.
   
   
3. Compute
   
   
   where "a" is the number of groups.
   
   
   
4. Compute
   
   
   
   where n is the number of subjects in each group (there must be equal n).
   
   
5. Compute
   
   
   
   
6. Compute df = a(n-1) where "a" is the number of groups.
   
   
7. Use a t table to find the probability value of t.