Confidence Intervals on Sum of Variance Components with Unbalanced Designs

DOI10.1081/STA-200054391zbMath1073.62027MaRDI QIDQ4681051

Guo-Ying Li, Xin Min Li

Publication date: 14 June 2005

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

coverage probabilityvariance componentgeneralized pivotal quantity

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (15)

Generalized confidence regions of fixed effects in the two-way ANOVA ⋮ Inference for repeated measures models under heteroscedasticity ⋮ Bootstrap inference for skew-normal unbalanced heteroscedastic one-way classification random effects model ⋮ Confidence distributions: a review ⋮ Generalized confidence intervals for proportions of total variance in mixed linear models ⋮ A fiducial argument for generalized \(p\)-value ⋮ A Comparison of Estimation Methods on the Coverage Probability of Satterthwaite Confidence Intervals for Assay Precision with Unbalanced Data ⋮ Comparison of confidence intervals on the among group variance in the unbalanced variance component model ⋮ Generalized \(p\) value tests for variance components in a class of linear mixed models ⋮ Confidence Intervals for Linear Function of Variance Components in Two-Fold Nested Random Effects Model ⋮ Nonparametric Interval Estimation in One-Way Random-Effects Models ⋮ Inferences on the reliability in balanced and unbalanced one-way random models ⋮ Generalized Inference for a Class of Linear Models Under Heteroscedasticity ⋮ Comparison of One-Sided Tolerance Limits in Unbalanced One-Way Random Models ⋮ Confidence Intervals on Sum of Variance Components in Unbalanced Two-Fold Nested Designs with Equal Subsampling

Cites Work

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• Interval estimation for the unbalanced case of the one-way random effects model
• The functional-model basis of fiducial inference
• Generalized Confidence Intervals
• On Two Measures of Unbalancedness in a One‐Way Model and Their Relation to Efficiency
• Performance of Confidence Intervals in Regression Models with Unbalanced One-Fold Nested Error Structures

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