Abstract
Given an orthogonal array we analyze the aberrations of the sub-fractions which are obtained by the deletion of some of its points. We provide formulae to compute the Generalized Word-Length Pattern of any sub-fraction. In the case of the deletion of one single point, we provide a simple methodology to find which the best sub-fractions are according to the Generalized Minimum Aberration criterion. We also study the effect of the deletion of 1, 2 or 3 points on some examples. The methodology does not put any restriction on the number of levels of each factor. It follows that any mixed level orthogonal array can be considered.
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12 September 2019
Unfortunately, due to a technical error, the articles published in issues 60:2 and 60:3 received incorrect pagination. Please find here the corrected Tables of Contents. We apologize to the authors of the articles and the readers.
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Acknowledgements
Both authors are members of GNAMPA-INdAM. This research has a financial support from Politecnico di Torino and Università del Piemonte Orientale.
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Fontana, R., Rapallo, F. On the aberrations of mixed level orthogonal arrays with removed runs. Stat Papers 60, 479–493 (2019). https://doi.org/10.1007/s00362-018-01069-5
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DOI: https://doi.org/10.1007/s00362-018-01069-5
Keywords
- Orthogonal arrays
- Generalized word-length pattern
- Generalized minimum aberration criterion
- Incomplete designs