Measurement Error Models

Measurement Error Models (ISBN: 9780470316665) was written by Wayne A. Fuller in 1987.

A measurement Xt is decomposed into the true value xt and the measurement error ut.

When a linear model is constructed as Yt = β0 + β1xt + et but estimated as Yt = β0 + β1Xt + et = β0 + β1(xt + ut) + et, then the expected values are characterized by:

exp1.svg

exp2.svg

And the covariance matrix is specified as:

covar.svg


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