9. (requires calculus) Find the least squares estimates of , , ..., for the linear model

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9. (requires calculus) Find the least squares estimates of µ₁, µ₂, ..., µν for the linear model Yᵢⱼ = µᵢ + εᵢⱼ (i = 1,.r; i = 1, 2,..., v), where the εᵢⱼ's are independent random variables with mean zero and variance σ². Compare these estimates with the least squares estimates of μ + τᵢ (i = 1, 2, ..., v) in model (3.3.1), page 36.

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Design And Analysis Of Experiments

ISBN: 9780387985619

1st Edition

Authors: Angela M. Dean, Daniel Voss

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