Optimality and efficiency of circular neighbor balanced designs for correlated observations

被引:0
|
作者
K. Filipiak
A. Markiewicz
机构
[1] Agricultural University of Poznań,Department of Mathematical and Statistical Methods
来源
Metrika | 2005年 / 61卷
关键词
Optimal experimental designs; interference model; circular neighbor balanced designs at distances 1 and 2; circular autoregressive process;
D O I
暂无
中图分类号
学科分类号
摘要
The purpose of this paper is to apply the Kunert and Martin’s (2000b) method for finding optimal designs into the case of dependence. Using this method we study optimality of circular neighbor balanced designs at distances 1 and 2 under the one-dimensional interference model with errors correlated according to a circular autoregressive process. We determine the efficiency of binary designs for specified values of correlation coefficient, for which these designs are not optimal.
引用
收藏
页码:17 / 27
页数:10
相关论文
共 50 条
  • [1] Optimality and efficiency of circular neighbor balanced designs for correlated observations
    Filipiak, K
    Markiewicz, A
    METRIKA, 2005, 61 (01) : 17 - 27
  • [2] Optimality of circular neighbor-balanced designs for total effects with autoregressive correlated observations
    Ai, Mingyao
    Yu, Yunlong
    He, Shuyuan
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2009, 139 (07) : 2293 - 2304
  • [3] EFFICIENCY OF NEAREST NEIGHBOR BALANCED BLOCK-DESIGNS FOR CORRELATED OBSERVATIONS
    GILL, PS
    SHUKLA, GK
    BIOMETRIKA, 1985, 72 (03) : 539 - 544
  • [4] Optimality of circular equineighbored block designs under correlated observations
    Khodsiani, Razieh
    Pooladsaz, Saeid
    STATISTICAL PAPERS, 2022, 63 (06) : 1743 - 1755
  • [5] Optimality of circular equineighbored block designs under correlated observations
    Razieh Khodsiani
    Saeid Pooladsaz
    Statistical Papers, 2022, 63 : 1743 - 1755
  • [6] On Universal Optimality of Circular Weakly Neighbor Balanced Designs Under an Interference Model
    Filipiak, Katarzyna
    Markiewicz, Augustyn
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2012, 41 (13-14) : 2356 - 2366
  • [7] A note on circular neighbor balanced designs
    Jaggi, Seema
    Pateria, Dinesh Kumar
    Varghese, Cini
    Varghese, Eldho
    Bhowmik, Arpan
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2018, 47 (10) : 2896 - 2905
  • [8] Optimality of neighbor-balanced designs for total effects
    Bailey, RA
    Druilhet, P
    ANNALS OF STATISTICS, 2004, 32 (04): : 1650 - 1661
  • [9] Construction of circular quasi rees neighbor designs which can be converted into minimal circular balanced and strongly balanced neighbor designs
    Hassan, Jamshaidul
    Noreen, Khadija
    Rasheed, H. M. Kashif
    ul Hassan, Mahmood
    Ahmed, Rashid
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (16) : 5587 - 5605
  • [10] Optimality of neighbor balanced designs under mixed effects model
    Filipiak, K
    Markiewicz, A
    STATISTICS & PROBABILITY LETTERS, 2003, 61 (03) : 225 - 234