Hi All,(adsbygoogle = window.adsbygoogle || []).push({});

Say we want to linearly regress Y (dependent) against ## X_1, X_2,..., X_n ## (Independent) , all numerical variables to get a model ## Y=a_1X_1+...+a_n X_n ## .

Then we test ## H_0 ## for whether :

##H_0: 0= a_1= a_2 =...=a_n ##

## H_1 : a_i \neq 0 ## for some ## i=1,2,..,n ##

( This is a generalization on the test for equality of 2 means to equality of means, to zero )

Could someone remind me what one does when one rejects ## H_0 ## in terms of deciding, figuring

out which of the ## a_i' ##s is non-zero , other than considering the t-intervals for each of the ##a_i ## 'sand checking whether the intervals (a,b) contain 0, i.e., whether a<0<b ?

EDIT IIRC, we then do a pairwise comparison of means and then consider the intervals?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A Follow-Up on F-Test in Multi-Linear Regression

Tags:

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**