For a 2 2 table, consider H 0 : 11 = 2 ,
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For a 2 × 2 table, consider H0: π11 = θ2, π12 = π21 = θ(1 – θ), π22 = (1 – θ)2.
a. Show that the marginal distributions are identical and that independence holds.
b. For a multinomial sample, under H0 show that θ̂ = (p1+ + p+1)/2.
c. Explain how to test H0. Show that df = 2 for the test statistic.
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a Note 1 1 b The log likelihood was kernel L n 11 log 2 n 12 n 21 log 1 n 22 log 1 2 L ...View the full answer
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