# [R] How to find statistics like that.

Duncan Murdoch murdoch at stats.uwo.ca
Thu Nov 10 12:05:04 CET 2005

```On 11/9/2005 10:01 PM, Adaikalavan Ramasamy wrote:
> 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.

Just curious about your usage:  why do you say a p-value is not a statistic?

Duncan Murdoch

>
>
>
>
> 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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>>
>
>
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