Design of Experiments in Statistics
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Models and Information Matrix. Most of the results in experimental design theory are related to the linear regression models:
$$ E\{ y|x\} = \eta ({\theta ^T},x) and Var\{ y|x\} = \sigma 2(x), $$
(17.1.1)
where the observation y is a random variable, E and Var stand for expectation and variance, respectively.