Journal ArticleDOI
Generalized confidence intervals for proportions of total variance in mixed linear models
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TLDR
In this paper, the authors investigated the utility of generalized confidence intervals for a proportion of total variance in mixed linear models having more than two variance components in situations where the data exhibit complete balance, partial balance, and partial imbalance.About:
This article is published in Journal of Statistical Planning and Inference.The article was published on 2007-07-01. It has received 13 citations till now. The article focuses on the topics: Coverage probability & Confidence interval.read more
Citations
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Book
Confidence intervals on variance components
TL;DR: The authors summarize information scattered in the technical literature on a subject too new to be included in most textbooks, but which is of interest to statisticians, and those who use statistics in science and education, at an advanced undergraduate or higher level.
Journal ArticleDOI
Statistical Analysis in the Safety Evaluation of Genetically-Modified Crops: Equivalence Tests
Qing Kang,Christopher I. Vahl +1 more
TL;DR: A basic strategy for the equivalence tests described by EFSA in terms of parameters in the mixed model is proposed and generalized inference is employed to overcome two challenges in testing equivalences: the unconventional parameter of interest and the limited number of reference varieties.
Journal ArticleDOI
Equivalence criteria for the safety evaluation of a genetically modified crop: a statistical perspective
Christopher I. Vahl,Q. Kang +1 more
TL;DR: In this paper, the authors explored several equivalence criteria and discussed their pros and cons, including super, conditional and marginal equivalence, over an array of parameter values estimated from a real-world dataset.
Journal ArticleDOI
Generalized confidence regions of fixed effects in the two-way ANOVA*
TL;DR: The authors derive the generalized p-values for testing the equality of fixed effects and the generalized confidence regions for these effects from the unbalanced two-way ANOVA model under heteroscedasticity.
Journal ArticleDOI
Prediction intervals for general balanced linear random models
Tsai-Yu Lin,Chen-Tuo Liao +1 more
TL;DR: In this article, two methods based on the concept of a generalized pivotal quantity (GPQ) and one based on ANOVA estimators are presented, and a simulation study using the balanced one-way random model is conducted to evaluate the proposed methods.
References
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Book ChapterDOI
Generalized Confidence Intervals
TL;DR: In this paper, a generalized version of the confidence interval is defined, and the generalized confidence interval can be applied to the problem of constructing confidence intervals for the difference in two exponential means and for variance components in mixed models.
Journal ArticleDOI
Exact Statistical Methods for Data Analysis
Book
Confidence intervals on variance components
TL;DR: The authors summarize information scattered in the technical literature on a subject too new to be included in most textbooks, but which is of interest to statisticians, and those who use statistics in science and education, at an advanced undergraduate or higher level.
Book
Statistical Tests for Mixed Linear Models
TL;DR: A comparison of Random Models with Unequal Cell Frequencies in the Last Stage with Balanced Random and Mixed Models and Multivariate Mixed and Random Models shows that the latter are more prone to bias than the former.