# how to find the probability of Type II error

• February 21st 2009, 06:46 AM
szpengchao
how to find the probability of Type II error
$f(x : \theta)=\frac{\theta}{(x+\theta)^{2}} , \ \ \ H_{0}:\theta=1, \ \ \ H_{1}:\theta=2$

Mr F edit: Additional information given to me via pm:

Quote:

x>0, theta>0, is an unknown parameter.

find the likelihood ratio test .
and show the probability of TYPE II error is

19/21
• February 23rd 2009, 03:03 AM
mr fantastic
Quote:

Originally Posted by szpengchao
$f(x : \theta)=\frac{\theta}{(x+\theta)^{2}} , \ \ \ H_{0}:\theta=1, \ \ \ H_{1}:\theta=2$

Mr F edit: Additional information given to me via pm:

Quote:

x>0, theta>0, is an unknown parameter.

find the likelihood ratio test .
and show the probability of TYPE II error is

19/21

More information is needed here I think to calculator $\beta$. A value of $\alpha$, perhaps ....?
• February 23rd 2009, 08:12 PM
matheagle
Once we have alpha we can get Beta.