You're right: it is -2 ln LR that has the chi-square distribution.I have an assignment in one of my second-year statistics courses.
My professor gave us information on the following test statistic which we haven't gone over:
Likelihood Ratio Test Statistic
Here's the website because I'm going to have trouble re-writing what he wrote:
It's on page 1, part (d).
Should it be -2 in front of the sum?
My problem is that I don't see how I would get a positive number out of this since many of the values under the ln function are between 0 and 1 (leading to negative numbers). Do you see what I'm saying? To reject the null hypothesis, I need a positive test statistic and I'm getting a large negative one. For example,
one of the expected values is 388 for an actual value of 266
Thanks for any clarification. There seems to be very little on the Internet about this statistic.