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Unformatted text preview: is ˆ0 = −68.3868.
If H1 is true,
2 kj yjk log (θj ) − θj − log (yjk !) l1 = l (θ1 , θ2 ; Y ) =
j =1 k =1 Sum of terms with θ1 plus sum of terms with θ2 .
The MLEs are
θ1 = 1.423; θ2 = 0.913
The value of l1 at the MLEs is ˆ1 = −67.0230
UNM Notice that regardless of the data ˆ1 ≥ ˆ0 . Why?
How can we decide if difference in log-likelihood is
Need to know the sampling distribution of l (θ; Y ).
What is the distribution of ˆ1 − ˆ0 ?
Could also rely on the...
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- Fall '13