Generalized confidence regions of fixed effects in the two-way ANOVA

被引：9

作者：

Mu, Weiyan ^{[1
]}

Xiong, Shifeng ^{[2
]}

Xu, Xingzhong ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2008年 / 21卷 / 02期

基金：

中国国家自然科学基金;

关键词：

ANOVA; generalized confidence region; generalized p-value; heteroscedasticity; unbalanced;

D O I：

10.1007/s11424-008-9111-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors discuss the unbalanced two-way ANOVA model under heteroscedasticity. By taking the generalized approach, the authors derive the generalized p-values for testing the equality of fixed effects and the generalized confidence regions for these effects. The authors also provide their frequentist properties in large-sample cases. Simulation studies show that the generalized confidence regions have good coverage probabilities.

引用

页码：276 / 282

页数：7

共 50 条

[31] A Visualization Tool for One- and Two-Way Analysis of Variance [J].

Sturm-Beiss, Rachel .

JOURNAL OF STATISTICS EDUCATION, 2005, 13 (01)

[32] Two-way analysis of high-dimensional collinear data [J].

Huopaniemi, Ilkka ;

Suvitaival, Tommi ;

Nikkila, Janne ;

Oresic, Matej ;

Kaski, Samuel .

DATA MINING AND KNOWLEDGE DISCOVERY, 2009, 19 (02) :261-276

[33] A Non-Parametric Test for a Two-Way Analysis of Variance [J].

Bonnini, Stefano ;

Borghesi, Michela ;

Piscopo, Gianfranco ;

Giacalone, Massimiliano .

MATHEMATICS, 2025, 13 (07)

[34] Two-way analysis of high-dimensional collinear data [J].

Ilkka Huopaniemi ;

Tommi Suvitaival ;

Janne Nikkilä ;

Matej Orešič ;

Samuel Kaski .

Data Mining and Knowledge Discovery, 2009, 19 :261-276

[35] Synergistic interaction effects of process parameters on surface finish in two-way AFM of SS446 [J].

Krishna, Gautam G. ;

Jinesh, N. .

INTERNATIONAL JOURNAL OF INTERACTIVE DESIGN AND MANUFACTURING - IJIDEM, 2025, 19 (04) :2367-2384

[36] Generalized confidence intervals for the ratio of means of two normal populations [J].

Lee, JC ;

Lin, SH .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2004, 123 (01) :49-60

[37] Confidence intervals and sample size calculations for the weighted eta-squared effect sizes in one-way heteroscedastic ANOVA [J].

Shieh, Gwowen .

BEHAVIOR RESEARCH METHODS, 2013, 45 (01) :25-37

[38] Approximate tests in unbalanced two-way random models without interaction [J].

Guven, Bilgehan .

STATISTICAL PAPERS, 2012, 53 (03) :753-766

[39] A parametric bootstrap approach for two-way error component regression models [J].

Yue, Li-Li ;

Shi, Jian-Hong ;

Song, Wei-Xing .

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2017, 46 (05) :3952-3961

[40] A new method for testing interaction in unreplicated two-way analysis of variance [J].

Kharrati-Kopaei, M. ;

Sadooghi-Alvandi, S. M. .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (13-16) :2787-2803

← 1 2 3 4 5 →