Constrained parameters in applications: Review of issues and approaches
L Kopylev - International Scholarly Research Notices, 2012 - Wiley Online Library
This review article provides an introduction to statistical issues that arise when some
statistical model parameters are constrained. This often happens in applications, in …
statistical model parameters are constrained. This often happens in applications, in …
Dose–schedule finding in phase I/II clinical trials using a Bayesian isotonic transformation
A dose–schedule‐finding trial is a new type of oncology trial in which investigators aim to
find a combination of dose and treatment schedule that has a large probability of efficacy yet …
find a combination of dose and treatment schedule that has a large probability of efficacy yet …
Semi-parametric survival analysis via Dirichlet process mixtures of the First Hitting Time model
JA Race, ML Pennell - Lifetime Data Analysis, 2021 - Springer
Time-to-event data often violate the proportional hazards assumption inherent in the popular
Cox regression model. Such violations are especially common in the sphere of biological …
Cox regression model. Such violations are especially common in the sphere of biological …
Inference for the existence of hormetic dose–response relationships in toxicology studies
SB Kim, SM Bartell, DL Gillen - Biostatistics, 2016 - academic.oup.com
In toxicology studies hormesis refers to a dose–response relationship with a stimulatory
response at low doses and an inhibitory response at high doses. In this manuscript, we …
response at low doses and an inhibitory response at high doses. In this manuscript, we …
Maximally selected Chi-squared statistics and non-monotonic associations: An exact approach based on two cutpoints
AL Boulesteix, C Strobl - Computational Statistics & Data Analysis, 2007 - Elsevier
Binary outcomes that depend on an ordinal predictor in a non-monotonic way are common
in medical data analysis. Such patterns can be addressed in terms of cutpoints: for example …
in medical data analysis. Such patterns can be addressed in terms of cutpoints: for example …
Bayesian local extremum splines
We consider shape-restricted nonparametric regression on a closed set where it is
reasonable to assume that the function has no more than local extrema interior to. Following …
reasonable to assume that the function has no more than local extrema interior to. Following …
Nonparametric Bayes testing of changes in a response distribution with an ordinal predictor
ML Pennell, DB Dunson - Biometrics, 2008 - academic.oup.com
In certain biomedical studies, one may anticipate changes in the shape of a response
distribution across the levels of an ordinal predictor. For instance, in toxicology studies …
distribution across the levels of an ordinal predictor. For instance, in toxicology studies …
Semiparametric Bayes multiple testing: applications to tumor data
Summary In National Toxicology Program (NTP) studies, investigators want to assess
whether a test agent is carcinogenic overall and specific to certain tumor types, while …
whether a test agent is carcinogenic overall and specific to certain tumor types, while …
Bayesian multiple comparisons of simply ordered means using priors with a point mass
K Nashimoto, FT Wright - Computational statistics & data analysis, 2008 - Elsevier
Comparison of k treatment means under the simple-order assumption (μ1≤ μ2≤⋯≤ μk) is
considered. Under an order restriction, isotonic estimates and global tests of homogeneity …
considered. Under an order restriction, isotonic estimates and global tests of homogeneity …
The Bayes factor versus other model selection criteria for the selection of constrained models
Abstract Model assessment and model comparison are a crucial part of statistical analysis.
Due to recent computational advances, sophisticated techniques for Bayesian model …
Due to recent computational advances, sophisticated techniques for Bayesian model …