The Analysis of Unreplicated Factorial Experiments Using All Possible Comparisons

The Analysis of Unreplicated Factorial Experiments Using All Possible Comparisons

This article proposes a new procedure for analyzing small unreplicated factorial experiments. This procedure is based on using likelihood ratio tests to compare competing models. An easy method of implementing the procedure is presented and then demonstrated on a real set of data. Results of a simul...

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Veröffentlicht in:Technometrics 2005-02, Vol.47 (1), p.51-63
1. Verfasser: Miller, Arden
Format: Artikel
Sprache:eng
Schlagworte:
Active contrast
Applied statistics
Error rates
Exact sciences and technology
Experimental design
Experiments
Factorial design
Factorial experiments
Factorials
Geometric approach
Geometry
Half-normal plot
Lenth's method
Likelihood ratio test
Mathematical analysis
Mathematical vectors
Mathematics
Model selection
Modeling
Probability and statistics
Ratio test
Sciences and techniques of general use
Standard error
Statistics
Vector space models
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Beschreibung
Zusammenfassung:This article proposes a new procedure for analyzing small unreplicated factorial experiments. This procedure is based on using likelihood ratio tests to compare competing models. An easy method of implementing the procedure is presented and then demonstrated on a real set of data. Results of a simulation study are presented that indicate that the new procedure compares favorably with Lenth's method. Tables of constants are supplied that allow the new procedure to be easily applied to the analysis of 8-run, 12-run, and 16-run experiments.
ISSN:0040-1706
1537-2723
DOI:10.1198/004017004000000608