Optimal designs for a mixed interference model |
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Authors: | K Filipiak A Markiewicz |
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Institution: | (1) Department of Mathematical and Statistical Methods, Agricultural University of Poznań, Wojska Polskiego 28, 60637 Poznań, Poland |
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Abstract: | This paper generalizes Kunert and Martin’s (Ann Stat 28:1728–1742, 2000) method for finding optimal designs under a fixed
interference model, to find optimal designs under a mixed interference model. The results are based on the properties of information
matrices in fixed and mixed models given in Markiewicz (J Stat Plan Inference 59:127–137, 1997). The method is applied to
find a design which is optimal for any given variances of random neighbor effects.
Research partially supported by the KBN Grant Number 5 P03A 041 21. |
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Keywords: | Interference model Mixed model Neighbor effects Circular design Optimal design Universal optimality |
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