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Math Help - Statistically different than 1

  1. #1
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    Statistically different than 1

    Usually I am determining if a regressand is statistically different than 0. How do I determine if it is statistically different than 1?

    Thanks.
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  2. #2
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    Testing statistically different than uses the same t-critical values as two tailed test but the t-value is found by:

    \displaystyle t=\frac{\hat{\beta}-1}{se(\hat{\beta})}\Rightarrow \begin{cases}<br />
 |t|>t-crit, & \mbox{reject the null that}\ \hat{\beta}=1 \\<br />
|t|\leq t-crit , & \mbox{fail to reject the null}<br />
\end{cases}

    If you want to find out if it is statistically different than -1, you add 1 to beta hat.
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