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Using quantile plots of the prediction variance for comparing designs for a constrained mixture region: an application involving a fertilizer experiment

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Abstract:

Summary. Vining and co-workers have used plots of the prediction variance trace (PVT) along the so-called prediction rays to compare mixture designs in a constrained region R. In the present paper, we propose a method for describing the distribution of the prediction variance within the region R by using quantile plots. More comprehensive comparisons between mixture designs are possible through the proposed plots than with the PVT plots. The utility of the quantile plots is illustrated with a four-component fertilizer experiment that was initiated in São Paulo, Brazil.

Keywords: Comparison of designs; Design criteria; Mixture designs; Scheffé models

Document Type: Original Article

DOI: http://dx.doi.org/10.1111/1467-9876.00169

Affiliations: University of Florida, Gainesville, USA

Publication date: January 1, 1999

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