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7. In a genetic linkage experiment, 197 animals are randomly assigned to four categories according to the multinomial distribution with cell 1-0 T4 71

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7. In a genetic linkage experiment, 197 animals are randomly assigned to four categories according to the multinomial distribution with cell 1-0 T4 71 0 probabilities = 1/1 + 1/1, = corresponding observations are 1-0 4, 3 = 1 and 7 = 4 If the y = (Y1, Y2,Y3, Y4)* = (125, 18, 20, 34)*, then devise an EM algorithm and use it to estimate = .6268 [218]. (Hint: Split the first category into two so that there are five categories for the complete data.) 38 9. The EM Algorithm 8. Derive the EM algorithm solving Problem 7 as an MM algorithm. No mention of missing data is necessary.

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