Prediction variance of a central composite design with missing observation

Kohei Fujiwara, Shun Matsuura

研究成果: Article査読

1 被引用数 (Scopus)

抄録

Central composite design has been widely used in response surface methods. This article studies how much the variance of a predicted response is inflated when an observation is missing in a central composite design. A mathematical expression is derived for the inflation amount of the prediction variance. It turns out that, for rotatable central composite designs, the inflation amount of the prediction variance depends only on the Euclidean norms and the inner product of the two vectors of factor values at which the observation is missing and the response is predicted. Several numerical examples are presented to show relationships between the inflation amount of the prediction variance and the angle formed by the two vectors.

本文言語English
ページ(範囲)6016-6031
ページ数16
ジャーナルCommunications in Statistics - Theory and Methods
49
24
DOI
出版ステータスPublished - 2020

ASJC Scopus subject areas

  • 統計学および確率

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