# [R] How to find statistics like that.

Thu Nov 10 04:01:27 CET 2005

I think an alternative is to use a p-value from F distribution. Even
tough it is not a statistics, it is much easier to explain and popular
than 1/F. Better yet to report the confidence intervals.

On Wed, 2005-11-09 at 17:09 -0600, Mike Miller wrote:
> On Wed, 9 Nov 2005, Gao Fay wrote:
>
> > Hi there,
> >
> > Suppose mu is constant, and error is normally distributed with mean 0 and
> > fixed variance s. I need to find a statistics that:
> > Y_i = mu + beta1* I1_i beta2*I2_i + beta3*I1_i*I2_i + +error, where I_i is 1
> > Y_i is from group A, and 0 if Y_i is from group B.
> >
> > It is large when  beta1=beta2=0
> > It is small when beta1 and/or beta2 is not equal to 0
> >
> > How can I find it by R? Thank you very much for your time.
>
>
> That's a funny question.  Usually we want a statistic that is small when
> beta1=beta2=0 and large otherwise.
>
> Why not compute the usual F statistic for the null beta1=beta2=0 and then
> use 1/F as your statistic?
>
> Mike
>
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