ArticleStatistics in medicine2018
Improving estimation and prediction in linear regression incorporating external information from an established reduced model.
Article in Statistics in medicine, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers, 1 of them a synthesis that pooled it.
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Who cites it
16 citing papers in PubMed, 1 synthesis or guideline pooled it, 26 citations in OpenAlex.
- A meta-inference framework to integrate multiple external models into a current study.Biostatistics (Oxford, England) · 2023Pooled it
- Mediation with External Summary Statistic Information.Biostatistics (Oxford, England) · 2025Article
- A Weighted Survival Regression Framework for Incorporating External Prediction Information.Journal of statistical theory and practice · 2025Article
- A comparison of some existing and novel methods for integrating historical models to improve estimation of coefficients in logistic regression.Journal of the Royal Statistical Society. Series A, (Statistics in Society) · 2025Article
- Robust data integration from multiple external sources for generalized linear models with binary outcomes.Biometrics · 2024Article
- A synthetic data integration framework to leverage external summary-level information from heterogeneous populations.Biometrics · 2023Article
- Improvement of an External Predictive Model Based on New Information Using a Synthetic Data Approach: Application to CADASIL.Neurology. Genetics · 2023Article
- Integrating Information from Existing Risk Prediction Models with No Model Details.The Canadian journal of statistics = Revue canadienne de statistique · 2023Article
- Integrative analysis of individual-level data and high-dimensional summary statistics.Bioinformatics (Oxford, England) · 2023Article
- Data integration: exploiting ratios of parameter estimates from a reduced external model.Biometrika · 2023Article
- Integrative analysis of multiple case-control studies.Biometrics · 2022Article
- Bayesian Linear Regressions Applied to Fibromyalgia Syndrome for Understanding the Complexity of This Disorder.International journal of environmental research and public health · 2022Article
- Incorporating historical models with adaptive Bayesian updates.Biostatistics (Oxford, England) · 2020Article
- Synthetic data method to incorporate external information into a current study.The Canadian journal of statistics = Revue canadienne de statistique · 2019Article
- Accounting for established predictors with the multistep elastic net.Statistics in medicine · 2019Article
- Informing a Risk Prediction Model for Binary Outcomes with External Coefficient Information.Journal of the Royal Statistical Society. Series C, Applied statistics · 2019Article
Corrections and comments
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Authors and funding
5 authors at 2 institutions in 1 country.
Funding
Abstract
We consider a situation where there is rich historical data available for the coefficients and their standard errors in a linear regression model describing the association between a continuous outcome variable Y and a set of predicting factors X, from a large study. We would like to use this summary information for improving inference in an expanded model of interest, Y given X,B. The additional variable B is a new biomarker, measured on a small number of subjects in a new dataset. We formulate the problem in an inferential framework where the historical information is translated in terms of nonlinear constraints on the parameter space and propose both frequentist and Bayes solutions to this problem. We show that a Bayesian transformation approach proposed by Gunn and Dunson is a simple and effective computational method to conduct approximate Bayesian inference for this constrained parameter problem. The simulation results comparing these methods indicate that historical information on E(Y|X) can improve the efficiency of estimation and enhance the predictive power in the regression model of interest E(Y|X,B). We illustrate our methodology by enhancing a published prediction model for bone lead levels in terms of blood lead and other covariates, with a new biomarker defined through a genetic risk score.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.