Section: Topic 9 | Design and Analysis of Experiments (2013) | phd moodle

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Section outline

Topic 9
Topics:

Analysis of variance with two random factors.

The two-way mixed model.

Three-way analysis of variance.

Response curves and surfaces.

Read: Montgomery, Sec. 13.1-13.3, 5.4, 5.5.

Location: Niels Jernes Vej 14, room 3-119

Remarks:

For the mixed model, Sec. 13.3, the unrestricted model seems more natural than the restricted one. To me the restricted model is an artifice to avoid negative variance components.

If a negative variance component occurs in an unrestricted mixed model, there is no problem if it is non-significant. Just remove it from the model. If significant, modelling requiring the multidimensional normal distribution is required.

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