Chapter 2 Notes

Unm 0 00 05 1 10 2 15 20 3 25 4 30 boxplots

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Unformatted text preview: o women have similar levels in the two groups? UNM 0 0.0 0.5 1 1.0 2 1.5 2.0 3 2.5 4 3.0 Boxplots of the data by group Town Country UNM Hypothesis testing problem, H0 : θ1 = θ2 = θ vs H1 : θ1 = θ2 Two models: Under H0 , Yjk ∼ Poisson(θ). Second model, Yjk ∼ Poisson(θj ) (nested models). Under H0 , 2 kj yjk log (θ) − θ − log (yjk !) l0 = l (θ; Y ) = j =1 k =1 The MLE is 2 kj ˆ θ= yjk /N ; N = 26 + 23 = 49 j =1 k =1 UNM Notice the MLE is ”pooled estimate” of the town and country means. ˆl The value of l0 at...
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