Modified Robust Second-Order Slope-Rotatable Designs

被引：3

作者：

Das, Rabindra Nath ^{[1
]}

Pal, Partha ^{[2
]}

Park, Sung H. ^{[3
]}

机构：

[1] Univ Burdwan, Dept Stat, Burdwan 713104, W Bengal, India

[2] Maulana Azad Coll, Dept Stat, Kolkata, W Bengal, India

[3] Seoul Natl Univ, Dept Stat, Seoul, South Korea

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2015年 / 44卷 / 01期

关键词：

Correlated errors; Response surface designs; Robust designs; Robust modified slope-rotatability; Robust slope-rotatability;

D O I：

10.1080/03610926.2012.732183

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Generally it is very difficult to construct robust slope-rotatable designs along axial directions. Present paper focuses on modified second-order slope-rotatable designs (SOSRDs) with correlated errors. Modified robust second-order slope-rotatability conditions are derived for a general variance-covariance structure of errors. These conditions get simplified for intraclass correlation structure. A few robust second-order slope-rotatable designs (over all directions, or with equal maximum directional variance slope, or Doptimal slope) are examined with respect to modified robust slope-rotatability. It is observed that robust second-order slope-rotatable designs over all directions, or with equal maximum directional variance slope, or D-optimal slope are not generally modified robust second-order slope-rotatable designs.

引用

页码：80 / 94

页数：15

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