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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
Author(s) -
Khuri A. I.,
Harrison J. M.,
Cornell J. A.
Publication year - 1999
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1111/1467-9876.00169
Subject(s) - quantile , variance (accounting) , statistics , variance components , mathematics , econometrics , gamma distribution , fertilizer , trace (psycholinguistics) , distribution (mathematics) , agronomy , economics , accounting , mathematical analysis , linguistics , philosophy , biology
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.