Approximate tests in unbalanced two-way random models without interaction

被引：1
|
作者：
Guven, Bilgehan [1 ]
机构：
[1] Canakkale Onsekiz Mart Univ, Dept Math, TR-17100 Canakkale, Turkey
来源：
STATISTICAL PAPERS | 2012年 / 53卷 / 03期
关键词：
Two-way random model; Asymptotic normality; Approximate F test; Robustness of approximate test; ANOVA; VARIANCE; NUMBER;
D O I：
10.1007/s00362-011-0378-1
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：
In the presence of non-normality, we consider testing for the significance of the variance components in the unbalanced two-way random model without interaction. The approximate test is based on the F-statistic for this model. The asymptotic distribution of the F-statistic is derived as the number of treatments tends to infinity while the number of observations for a treatment in any block takes value from a finite set of positive integers. Robustness of the approximate test is given.
引用
收藏
页码：753 / 766
页数：14
相关论文
共 50 条
  • [31] A note on the modified two-way MANOVA tests
    Zhang, Jin-Ting
    Xiao, Shengning
    STATISTICS & PROBABILITY LETTERS, 2012, 82 (03) : 519 - 527
  • [32] Exact tests for two-way symmetriccontingency tables
    JOHN W. McDONALD
    DAVID C. DeROURE
    DANIUS T. MICHAELIDES
    Statistics and Computing, 1998, 8 : 391 - 399
  • [33] On synchronized permutation tests in two-way ANOVA
    Basso, Dario
    Salmaso, Luigi
    Pesarin, Fortunato
    MODA 8 - ADVANCES IN MODEL-ORIENTED DESIGN AND ANALYSIS, 2007, : 25 - +
  • [34] Testing for Main Random Effects in Two-Way Random and Mixed Effects Models: Modifying the F Statistic
    Gaugler, Trent
    Akritas, Michael G.
    JOURNAL OF PROBABILITY AND STATISTICS, 2013, 2013
  • [35] Two-way interaction of input variables in the sensitivity analysis of neural network models
    Gevrey, Muriel
    Dimopoulos, Ioannis
    Lek, Sovan
    ECOLOGICAL MODELLING, 2006, 195 (1-2) : 43 - 50
  • [36] Bootstrap Inference on the Variance Component Functions in the Two-Way Random Effects Model with Interaction
    YE Rendao
    GE Wenting
    LUO Kun
    JournalofSystemsScience&Complexity, 2021, 34 (02) : 774 - 791
  • [37] Bootstrap Inference on the Variance Component Functions in the Two-Way Random Effects Model with Interaction
    Rendao Ye
    Wenting Ge
    Kun Luo
    Journal of Systems Science and Complexity, 2021, 34 : 774 - 791
  • [38] Bootstrap Inference on the Variance Component Functions in the Two-Way Random Effects Model with Interaction
    Ye, Rendao
    Ge, Wenting
    Luo, Kun
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 34 (02) : 774 - 791
  • [39] Two-Way Semantic Communications Without Feedback
    Yu, Kaiwen
    He, Qi
    Wu, Gang
    IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 2024, 73 (06) : 9077 - 9082
  • [40] Estimation of Random Components and Prediction in One and Two-Way Error Component Regression Models
    Subhash C. Sharma
    Anil K. Bera
    Journal of Quantitative Economics, 2021, 19 : 419 - 441
12345