The power prior: theory and applications

Statistics in Medicine
Joseph G IbrahimFang Chen

Abstract

The power prior has been widely used in many applications covering a large number of disciplines. The power prior is intended to be an informative prior constructed from historical data. It has been used in clinical trials, genetics, health care, psychology, environmental health, engineering, economics, and business. It has also been applied for a wide variety of models and settings, both in the experimental design and analysis contexts. In this review article, we give an A-to-Z exposition of the power prior and its applications to date. We review its theoretical properties, variations in its formulation, statistical contexts for which it has been used, applications, and its advantages over other informative priors. We review models for which it has been used, including generalized linear models, survival models, and random effects models. Statistical areas where the power prior has been used include model selection, experimental design, hierarchical modeling, and conjugate priors. Frequentist properties of power priors in posterior inference are established, and a simulation study is conducted to further examine the empirical performance of the posterior estimates with power priors. Real data analyses are given illustrating th...Continue Reading

References

Jan 1, 1996·Journal of Clinical Oncology : Official Journal of the American Society of Clinical Oncology·J M KirkwoodR H Blum
Jun 16, 2000·Journal of Clinical Oncology : Official Journal of the American Society of Clinical Oncology·J M KirkwoodR H Blum
Jan 16, 2004·The New England Journal of Medicine·Gregg W StoneUNKNOWN TAXUS-IV Investigators
Sep 15, 2005·JAMA : the Journal of the American Medical Association·Gregg W StoneUNKNOWN TAXUS V Investigators
Jul 7, 2011·Contemporary Clinical Trials·Charlotte RietbergenHerbert J A Hoijtink
Sep 1, 2011·Clinical Trials : Journal of the Society for Clinical Trials·Donald A Berry
Dec 1, 2012·BMC Medical Research Methodology·Joseph G IbrahimHaitao Chu
Aug 6, 2013·Pharmaceutical Statistics·Meg A GamaloLisa M LaVange

❮ Previous
Next ❯

Citations

Apr 20, 2016·Statistics in Medicine·Md S WarasiChristopher R Bilder
Aug 3, 2016·Statistics in Medicine·Graeme T SpenceThomas R Fanshawe
Jan 14, 2017·Statistics in Medicine·Orestis EfthimiouUNKNOWN GetReal Work Package 4
Mar 11, 2017·Journal of Biopharmaceutical Statistics·Tarek HaddadUNKNOWN MDIC Computer Modeling and Simulation Working Group Participants
Jun 3, 2017·Pharmaceutical Statistics·Isaac GravestockUNKNOWN COMBACTE-Net consortium
May 3, 2018·Statistical Methods in Medical Research·T B BrakenhoffS Nikolakopoulos
Dec 12, 2017·Biometrics·Stavros NikolakopoulosKit C B Roes
Nov 4, 2016·Statistical Methods in Medical Research·Junsheng MaFrancesco C Stingo
Jun 26, 2018·Statistics in Medicine·Matthew A Psioda, Joseph G Ibrahim
Jul 24, 2018·Statistics in Medicine·Matthew A PsiodaJoseph G Ibrahim
Feb 13, 2018·Statistical Methods in Medical Research·Jing ZhangRam Tiwari
Oct 17, 2018·Biometrical Journal. Biometrische Zeitschrift·Isaac Gravestock, Leonhard Held
Nov 30, 2019·Research Synthesis Methods·Han DuBenjamin R Karney
Jul 3, 2019·Biometrical Journal. Biometrische Zeitschrift·Annette Kopp-SchneiderManuel Wiesenfarth
Aug 1, 2019·Biometrics·Manuel Wiesenfarth, Silvia Calderazzo
Aug 27, 2019·Pharmaceutical Statistics·Mario NagaseNidal Al-Huniti
Feb 16, 2020·Pharmaceutical Statistics·Haolun ShiGuosheng Yin
Nov 16, 2019·Statistical Methods in Medical Research·Adrien OllierSarah Zohar
Oct 1, 2020·Biometrical Journal. Biometrische Zeitschrift·Pablo Emilio Verde
Dec 15, 2018·Statistics in Medicine·Gaelle Saint-HilaryGianluca Mastrantonio
Jun 17, 2020·Pharmaceutical Statistics·Jingjing YeRajeshwari Sridhara
Mar 23, 2017·Statistical Methods in Medical Research·Joost van RosmalenEmmanuel Lesaffre
Nov 11, 2017·Toxicological Sciences : an Official Journal of the Society of Toxicology·Stanley E LazicChristopher E Pollard
Sep 25, 2018·Biostatistics·Philip S Boonstra, Ryan P Barbaro
Apr 1, 2020·Pharmaceutical Statistics·Manuel FeißtMeinhard Kieser
Oct 23, 2018·Statistics in Biosciences·Wenqing LiDipak K Dey
Jan 28, 2021·International Journal of Environmental Research and Public Health·Moreno Ursino, Nigel Stallard
Feb 13, 2021·International Journal of Environmental Research and Public Health·Adrien OllierMoreno Ursino
Jan 30, 2021·Contemporary Clinical Trials Communications·Lucie BiardSylvie Chevret
Mar 7, 2021·International Journal of Environmental Research and Public Health·Danila AzzolinaIleana Baldi
Mar 7, 2021·International Journal of Environmental Research and Public Health·Danila AzzolinaDario Gregori
May 29, 2018·Bayesian Analysis·Yu-Bo WangPaul O Lewis
Apr 5, 2021·Statistics in Medicine·Konstantinos PaterasKit C B Roes
Jun 16, 2019·Computer Methods and Programs in Biomedicine·Mohamed Amine BayarGwénaël Le Teuff
May 8, 2021·The International Journal of Biostatistics·Lei HuangFangrong Yan
Jun 8, 2021·Journal of Biopharmaceutical Statistics·Tianyu BaiRam Tiwari
Jun 8, 2021·Multivariate Behavioral Research·Milica Miočević, Shirin Golchi
May 22, 2021·Contemporary Clinical Trials·Yunshan DuanYuan Ji

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.