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
收藏
页码：80 / 94
页数：15
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