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Generalized confidence intervals for the ratio of means of two normal populations

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TLDR
Based on the generalized p-values and generalized confidence interval developed by Tsui and Weerahandi (J. Amer. Statist. as discussed by the authors, respectively, hypothesis testing and confidence intervals for the ratio of means of two normal populations are developed to solve Fieller's problems.
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This article is published in Journal of Statistical Planning and Inference.The article was published on 2004-06-01. It has received 36 citations till now. The article focuses on the topics: Generalized p-value & Fieller's theorem.

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Design and Analysis of Bioavailability and Bioequivalence Studies

TL;DR: This book provides broad coverage and detailed discussion of statistical and scientiŽ c issues related to bioavailability and bioequivalence tests, and branch out to testing procedures based on parametric, nonparametric, and Bayesian approaches.
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Exact confidence interval estimation for the Youden index and its corresponding optimal cut-point

TL;DR: The proposed approach is to make use of a generalized approach to estimate the confidence intervals of the Youden index and its corresponding optimal cut-point and is illustrated via an application to a data set from a study on Duchenne muscular dystrophy.
Posted Content

Ratios: A short guide to confidence limits and proper use

TL;DR: In this article, a simple geometrical interpretation is given for the Fieller method and Monte Carlo simulations show when these methods are appropriate and that the most frequently used methods (index method and zero-variance method) can lead to large liberal deviations from the desired confidence level.
Journal ArticleDOI

Generalized inferences on the common mean vector of several multivariate normal populations

TL;DR: In this article, a generalized confidence region is derived using the concepts of generalized method based on the generalized p-value for the common mean vector of several multivariate normal populations when the covariance matrices are unknown and possibly unequal.
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Generalized inferences on the common mean of several normal populations

TL;DR: In this paper, a new generalized pivotal is proposed based on the best linear unbiased estimator of the common mean and the generalized inference, and an exact confidence interval is also derived.
References
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Book

Linear statistical inference and its applications

TL;DR: Algebra of Vectors and Matrices, Probability Theory, Tools and Techniques, and Continuous Probability Models.
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Linear Statistical Inference and its Applications

J. Aitchison, +1 more
- 01 Dec 1966 - 
TL;DR: Causal inference in statistics: An overview Linear Statistical Inference And Its Bayesian inference Wikipedia Springer Series in Statistics Stanford University Statistical Modeling, Causal Inference, and Social Science.
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Comparison of tests used to distinguish smokers from nonsmokers.

TL;DR: It is concluded that cotinine is the measure of choice, but for most clinical applications carbon monoxide provides an acceptable degree of discrimination and is considerably cheaper and simpler to apply.
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