A basic application of algebraic statistics to design and analysis of experiments considers a design as a zero-dimensional variety and identifies it with the ideal of the variety. Then, a subset of a standard basis of the design ideal is used as support for identifiable regression models. Estimation of the model parameter is performed by standard least squares techniques. We consider this identifiability problem in the case where more than one measurement is taken at a design point.
Replicated measurements and algebraic statistics
RICCOMAGNO, EVA;
2010-01-01
Abstract
A basic application of algebraic statistics to design and analysis of experiments considers a design as a zero-dimensional variety and identifies it with the ideal of the variety. Then, a subset of a standard basis of the design ideal is used as support for identifiable regression models. Estimation of the model parameter is performed by standard least squares techniques. We consider this identifiability problem in the case where more than one measurement is taken at a design point.
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