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05EstimatingEstimableFunctionsOfBeta2(1)

# 05EstimatingEstimableFunctionsOfBeta2(1) - Estimating...

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Estimating Estimable Functions of β : An Example movie 1 2 3 1 4 1 ? Can we guess ratings customer 2 ? 3 5 for customer/movie 3 ? ? 3 combinations not 4 3 1 ? in the dataset? Y ij = customer i ’s rating Which movie is of movie j best? Y ij = μ + C i + m j + ij Copyright c 2010 (Iowa State University) Statistics 511 1 / 7 4 1 3 5 3 3 1 = 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 + μ C 1 C 2 C 3 C 4 M 1 M 2 M 3 + 11 12 22 23 33 41 42 y = X β + Copyright c 2010 (Iowa State University) Statistics 511 2 / 7 X β = μ + C 1 + M 1 μ + C 1 + M 2 μ + C 2 + M 2 μ + C 2 + M 3 μ + C 3 + M 3 μ + C 4 + M 1 μ + C 4 + M 2 Can we estimate μ + C 1 + M 3 ?

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05EstimatingEstimableFunctionsOfBeta2(1) - Estimating...

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