spaMM (version 3.2.0)

welding: Welding data set

Description

The data give the results of an unreplicated experiment for factors affecting welding quality conducted by the National Railway Corporation of Japan (Taguchi and Wu, 1980, cited in Smyth et al., 2001). It is a toy example for heterocedastic models and is also suitable for illustrating fit of overparameterized models.

Usage

data("welding")

Format

The data frame includes 16 observations on 10 variables:

Strengh

response variable;

…

nine two-level factors.

References

Bergman B, Hyn<U+00E9>n A (1997) Dispersion effects from unreplicated designs in the \(2^{k-p}\) series. Technometrics, 39, 191<U+2013>98.

Smyth GK, Huele AF, Verbyla AP (2001). Exact and approximate REML for heteroscedastic regression. Statistical Modelling 1, 161-175.

Taguchi G, Wu Y (1980) Introduction to off-line quality control. Nagoya, Japan: Central Japan Quality Control Association.

Examples

# NOT RUN {
data("welding")
## toy example from Smyth et al.
HLfit(Strength ~ Drying + Material,resid.model = ~ Material+Preheating ,data=welding)
## toy example of overparameterized model
HLfit(Strength ~ Rods+Thickness*Angle+(1|Rods),resid.model = ~ Rods+Thickness*Angle ,data=welding)
# }