Abstract
There have been several publications on identifying dispersion effects from an unreplicated fractional or full factorial experiment. Some of these methods implicitly assume that unknown location effects are first identified correctly from the data. In practice, however, an empirical location-effects identification procedure may leave some small to moderate location effects undetected. It is shown in this study that such unidentified location effects can cumulatively impair subsequent dispersione effects identification. Numerical evidence based on a welding experiment and results from a simulation study are provided. A mathematical explanation of the impact of unidentified location effects on dispersion-effects identification is given. The dispersion-effects identification methods initially proposed for unreplicated data can be naturally extended to replicated experiments with the impact of unidentified location effects eliminated. A fluorescent-lamp experiment is analyzed to illustrate these methods.
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