a glm can be related to a standard regression model:

Design & Analysis of Experiments 8E 2012 Montgomery

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A GLM can be related to a standard regression model:


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Approximate Methods• Estimating missing values• Setting dada aside


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15.3 The Analysis of CovarianceA useful technique for dealing with

uncontrollable but observable nuisance factors


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The Basic ANCOVA Model

• The model is a combination of an ANOVA and a regression model• The analysis is an “adjusted” ANOVA• The procedure actually fits the covariate first, then fids the

contribution of the treatment factor over and above the covariate• Details of computing are in the text• JMP, Minitab, and SAS can do the analysis


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Design of Experiments with Known Covariates

• In many situations the covariates are observed along with the response variable(s), so there is no opportunity to use information about the covariates to design the experiment

• Sometimes the covariates are known in advance, and when this is the case, this information can be used in constructing a design

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Motor Oil Additive Experiment

• Properties of the product depend on two controllable factors

• They also depend on the viscosity and molecular weight of a raw material used to manufacture the product

• The raw material properties are known in advance, because there are 40 samples of this material available for use in the experiment

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a glm can be related to a standard regression model:

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