Cited by 107Statistical Methods and Bayesian InferenceMarkov Chains and Monte Carlo MethodsBayesian Methods and Mixture Models

The DOI matches its Crossref record; 27 of the 28 references it cites were found in a registry or an index.

Inference for Multivariate Normal Hierarchical Models

Everson, Philip J., Morris, Carl N.·2000·Journal of the Royal Statistical Society Series B: Statistical Methodology

DOI 10.1111/1467-9868.00239

Open this paper in CoChat — free account

Abstract

Summary: This paper provides a new method and algorithm for making inferences about the parameters of a two-level multivariate normal hierarchical model. One has observed J p-dimensional vector outcomes, distributed at level 1 as multivariate normal with unknown mean vectors and with known covariance matrices. At level 2, the unknown mean vectors also have normal distributions, with common unknown covariance matrix A and with means depending on known covariates and on unknown regression coefficients. The algorithm samples independently from the marginal posterior distribution of A by using rejection procedures. Functions such as posterior means and covariances of the level 1 mean vectors and of the level 2 regression coefficient are estimated by averaging over posterior values calculated conditionally on each value of A drawn. This estimation accounts for the uncertainty in A, unlike standard restricted maximum likelihood empirical Bayes procedures. It is based on independent draws from the exact posterior distributions, unlike Gibbs sampling. The procedure is demonstrated for profiling hospitals based on patients' responses concerning p=2 types of problems (non-surgical and surgical). The frequency operating characteristics of the rule corresponding to a particular vague multivariate prior distribution are shown via simulation to achieve their nominal values in that setting.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

Integrity signals

Registry

Crossref · 10.1111/1467-9868.00239

Cites

27 of 27 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Hierarchical Linear Models: Applications and Data Analysis Methods.
Longford, N. T., Bryk, A. S., & Raudenbush, S. W. (1993) · Contemporary Sociology A Journal of Reviews · doi:10.2307/2075823 · Cited by 18,773
Sampling-based approaches to calculating marginal densities
Gelfand, A. E., & Smith, A. F. M. (1990) · Journal of the American Statistical Association · doi:10.1080/01621459.1990.10476213 · Cited by 6,606
The Calculation of Posterior Distributions by Data Augmentation
Tanner, M. A., & Wong, W. H. (1987) · Journal of the American Statistical Association · doi:10.1080/01621459.1987.10478458 · Cited by 3,929
Hierarchical Linear Models: Applications and Data Analysis Methods.
Goldstein, H., Bryk, A. S., & Raudenbush, S. W. (1993) · Journal of the American Statistical Association · doi:10.2307/2290750 · Cited by 3,320
Multilevel Statistical Models
Courgeau, D., & Goldstein, H. (1997) · Population · doi:10.2307/1534624 · Cited by 2,596
Estimation with Quadratic Loss
James, W., & Stein, C. M. (1992) · Springer series in statistics · doi:10.1007/978-1-4612-0919-5_30 · Cited by 2,319
Stochastic Simulation
Ripley, B. D. (1987) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316726 · Cited by 2,241
Bayes and Empirical Bayes Methods for Data Analysis
Carlin, B. P., & Louis, T. A. (2001) · Technometrics · doi:10.1198/tech.2001.s608 · Cited by 2,110
Sampling-Based Approaches to Calculating Marginal Densities
Gelfand, A. E., & Smith, A. F. M. (1990) · Journal of the American Statistical Association · doi:10.2307/2289776 · Cited by 1,531
Parametric empirical Bayes inference: theory and applications
Morris, C. N. (1983) · Journal of the American Statistical Association · doi:10.1080/01621459.1983.10477920 · Cited by 1,448
Self-citation

Show all 28 references

Research works printed but not linked: 2

Everson, P. (1995) Inference for multivariate normal hierarchical models. PhD Dissertation. Department of Statistics, Harvard University, Cambridge.
Hox, J. (1998) Multilevel modeling in windows: a review of MLWin. Multilev Modllng Newslett., 10, no. 2, 2±5.

Sorted by citations

Fine Particulate Air Pollution and Hospital Admission for Cardiovascular and Respiratory Diseases
Dominici, F., Peng, R. D., Bell, M. L., Pham, L. D., McDermott, A., Zeger, S. L., & Samet, J. M. (2006) · JAMA · doi:10.1001/jama.295.10.1127 · Cited by 2,686
Weather-Related Mortality
Anderson, B. G., & Bell, M. L. (2009) · Epidemiology · doi:10.1097/ede.0b013e318190ee08 · Cited by 1,233
Heat Waves in the United States: Mortality Risk during Heat Waves and Effect Modification by Heat Wave Characteristics in 43 U.S. Communities
Anderson, G. B., & Bell, M. L. (2011) · Environmental Health Perspectives · doi:10.1289/ehp.1002313 · Cited by 1,191
Heat Effects on Mortality in 15 European Cities
Baccini, M., Biggeri, A., Accetta, G., Kosatsky, T., Katsouyanni, K., Analitis, A., Anderson, H. R., Bisanti, L., D’Ippoliti, D., Dáňová, J., et al. (2008) · Epidemiology · doi:10.1097/ede.0b013e318176bfcd · Cited by 887
Model Choice in Time Series Studies of Air Pollution and Mortality
Peng, R. D., Dominici, F., & Louis, T. A. (2006) · Journal of the Royal Statistical Society Series A: Statistics in Society · doi:10.1111/j.1467-985x.2006.00410.x · Cited by 583
Emergency Admissions for Cardiovascular and Respiratory Diseases and the Chemical Composition of Fine Particle Air Pollution
Peng, R. D., Bell, M. L., Geyh, A. S., McDermott, A., Zeger, S. L., Samet, J. M., & Dominici, F. (2009) · Environmental Health Perspectives · doi:10.1289/ehp.0800185 · Cited by 560
The Exposure–Response Curve for Ozone and Risk of Mortality and the Adequacy of Current Ozone Regulations
Bell, M. L., Peng, R. D., & Dominici, F. (2006) · Environmental Health Perspectives · doi:10.1289/ehp.8816 · Cited by 481
“We fit this two-stage normal–normal model by use of a two-level normal independent sampling estimation (TLNise 2006) with noninformative priors (Everson and Morris 2000).”
Influential
Hospital Admissions and Chemical Composition of Fine Particle Air Pollution
Bell, M. L., Ebisu, K., Peng, R. D., Samet, J. M., & Dominici, F. (2009) · American Journal of Respiratory and Critical Care Medicine · doi:10.1164/rccm.200808-1240oc · Cited by 500
Seasonal analyses of air pollution and mortality in 100 US cities
Peng, R. D., Dominici, F., Pastor-Barriuso, R., Zeger, S. L., & Samet, J. M. (2005) · American Journal of Epidemiology · doi:10.1093/aje/kwi075 · Cited by 450
Coarse Particulate Matter Air Pollution and Hospital Admissions for Cardiovascular and Respiratory Diseases Among Medicare Patients
Peng, R. D. (2008) · JAMA · doi:10.1001/jama.299.18.2172 · Cited by 409
Heat-Related Mortality and Adaptation to Heat in the United States
Bobb, J. F., Peng, R. D., Bell, M. L., & Dominici, F. (2014) · Environmental Health Perspectives · doi:10.1289/ehp.1307392 · Cited by 370
Revised Analyses of the National Morbidity, Mortality, and Air Pollution Study: Mortality Among Residents Of 90 Cities
Dominici, F., McDermott, A., Daniels, M. J., Zeger, S. L., & Samet, J. M. (2005) · Journal of Toxicology and Environmental Health · doi:10.1080/15287390590935932 · Cited by 335
Local and Global Effects of Climate on Dengue Transmission in Puerto Rico
Johansson, M. A., Dominici, F., & Glass, G. E. (2009) · PLoS neglected tropical diseases · doi:10.1371/journal.pntd.0000382 · Cited by 329
Air Pollution and Mortality: Estimating Regional and National Dose-Response Relationships
Dominici, F., Daniels, M., Zeger, S. L., & Samet, J. M. (2002) · Journal of the American Statistical Association · doi:10.1198/016214502753479266 · Cited by 303
Heat-related Emergency Hospitalizations for Respiratory Diseases in the Medicare Population
Anderson, G. B., Dominici, F., Wang, Y., McCormack, M. C., Bell, M. L., & Peng, R. D. (2013) · American Journal of Respiratory and Critical Care Medicine · doi:10.1164/rccm.201211-1969oc · Cited by 275
Nonconjugate Bayesian Estimation of Covariance Matrices and Its Use in Hierarchical Models
Daniels, M. J., & Kass, R. E. (1999) · Journal of the American Statistical Association · doi:10.1080/01621459.1999.10473878 · Cited by 220
Particulate Air Pollution and Mortality in the United States: Did the Risks Change from 1987 to 2000?
Dominici, F., Peng, R. D., Zeger, S. L., White, R. H., & Samet, J. M. (2007) · American Journal of Epidemiology · doi:10.1093/aje/kwm222 · Cited by 158
Effect Modification by Community Characteristics on the Short-term Effects of Ozone Exposure and Mortality in 98 US Communities
Bell, M. L., & Dominici, F. (2008) · American Journal of Epidemiology · doi:10.1093/aje/kwm396 · Cited by 183
Health Effects of Air Pollution: A Statistical Review
Dominici, F., Sheppard, L. A., & Clyde, M. A. (2003) · International Statistical Review · doi:10.1111/j.1751-5823.2003.tb00195.x · Cited by 176
Urban residence, neighborhood poverty, race/ethnicity, and asthma morbidity among children on Medicaid
Keet, C. A., Matsui, E. C., McCormack, M. C., & Peng, R. D. (2017) · Journal of Allergy and Clinical Immunology · doi:10.1016/j.jaci.2017.01.036 · Cited by 171
Both low and high temperature may increase the risk of stroke mortality
Chen, R., Wang, C., Meng, X., Chen, H., Thach, T., Wong, C.-M., & Kan, H. (2013) · Neurology · doi:10.1212/wnl.0b013e3182a4a43c · Cited by 170
Improved Semiparametric Time Series Models of Air Pollution and Mortality
Dominici, F., McDermott, A., & Hastie, T. J. (2004) · Journal of the American Statistical Association · doi:10.1198/016214504000000656 · Cited by 168
Bayesian analysis of covariance matrices and dynamic models for longitudinal data
Daniels, M. J. (2002) · Biometrika · doi:10.1093/biomet/89.3.553 · Cited by 167
A prior for the variance in hierarchical models
Daniels, M. J. (1999) · Canadian Journal of Statistics · doi:10.2307/3316112 · Cited by 157
Seasonal variation in the acute effect of particulate air pollution on mortality in the China Air Pollution and Health Effects Study (CAPES)
Chen, R., Peng, R. D., Meng, X., Zhou, Z., Chen, B., & Kan, H. (2013) · The Science of The Total Environment · doi:10.1016/j.scitotenv.2013.02.040 · Cited by 135
A Meta-Analysis and Multisite Time-Series Analysis of the Differential Toxicity of Major Fine Particulate Matter Constituents
Levy, J. I., Diez, D. M., Dou, Y., Barr, C. D., & Dominici, F. (2012) · American Journal of Epidemiology · doi:10.1093/aje/kwr457 · Cited by 128
Mixed beta regression: A Bayesian perspective
Figueroa-Zúñiga, J., Arellano-Valle, R. B., & Ferrari, S. L. P. (2012) · Computational Statistics & Data Analysis · doi:10.1016/j.csda.2012.12.002 · Cited by 121
Excessive Heat and Respiratory Hospitalizations in New York State: Estimating Current and Future Public Health Burden Related to Climate Change
Lin, S., Hsu, W.-H., Van Zutphen, A. R., Saha, S., Luber, G., & Hwang, S.-A. (2012) · Environmental Health Perspectives · doi:10.1289/ehp.1104728 · Cited by 105
Bayesian correlation estimation
Liechty, J. (2004) · Biometrika · doi:10.1093/biomet/91.1.1 · Cited by 105
Does the Effect of PM10 on Mortality Depend on PM Nickel and Vanadium Content? A Reanalysis of the NMMAPS Data
Dominici, F., Peng, R. D., Ebisu, K., Zeger, S. L., Samet, J. M., & Bell, M. L. (2007) · Environmental Health Perspectives · doi:10.1289/ehp.10737 · Cited by 105
Are the acute effects of particulate matter on mortality in the National Morbidity, Mortality, and Air Pollution Study the result of inadequate control for weather and season? A sensitivity analysis using flexible distributed lag models
Welty, L. J., & Zeger, S. L. (2005) · American Journal of Epidemiology · doi:10.1093/aje/kwi157 · Cited by 105
Adverse Health Effects of Particulate Air Pollution
Bell, M. L., Ebisu, K., Peng, R. D., & Dominici, F. (2009) · Epidemiology · doi:10.1097/ede.0b013e3181aba749 · Cited by 103
Seasonal and temperature modifications of the association between fine particulate air pollution and cardiovascular hospitalization in New York state
Hsu, W., Hwang, S., Kinney, P. L., & Lin, S. (2016) · The Science of The Total Environment · doi:10.1016/j.scitotenv.2016.11.008 · Cited by 95
Reassessing the relationship between ozone and short-term mortality in U.S. urban communities
Smith, R. L., Xu, B., & Switzer, P. (2009) · Inhalation Toxicology · doi:10.1080/08958370903161612 · Cited by 88
Diurnal temperature range and short-term mortality in large US communities
Lim, Y., Reid, C. E., Mann, J. K., Jerrett, M., & Kim, H. (2014) · International Journal of Biometeorology · doi:10.1007/s00484-014-0941-2 · Cited by 89
Impact of climate change on ambient ozone level and mortality in southeastern United States
Chang, H. H., Zhou, J., & Fuentes, M. (2010) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph7072866 · Cited by 82
Temperature, ozone, and mortality in urban and non-urban counties in the northeastern United States
Madrigano, J., Jack, D. W., Anderson, G. B., Bell, M. L., & Kinney, P. L. (2015) · Environmental Health · doi:10.1186/1476-069x-14-3 · Cited by 82
Ambient Coarse Particulate Matter and Hospital Admissions in the Medicare Cohort Air Pollution Study, 1999–2010
Powell, H., Krall, J. R., Wang, Y., Bell, M. L., & Peng, R. D. (2015) · Environmental Health Perspectives · doi:10.1289/ehp.1408720 · Cited by 80
Estimating the acute health effects of coarse particulate matter accounting for exposure measurement error
Chang, H. H., Peng, R. D., & Dominici, F. (2011) · Biostatistics · doi:10.1093/biostatistics/kxr002 · Cited by 80
Airborne Fine Particles and Risk of Hospital Admissions for Understudied Populations: Effects by Urbanicity and Short-Term Cumulative Exposures in 708 U.S. Counties
Bravo, M. A., Ebisu, K., Dominici, F., Wang, Y., Peng, R. D., & Bell, M. L. (2016) · Environmental Health Perspectives · doi:10.1289/ehp257 · Cited by 71
The impact of heat waves on mortality in Northwest India
Nori-Sarma, A., Anderson, G. B., Rajiva, A., ShahAzhar, G., Gupta, P., Pednekar, M. S., Son, J.-Y., Peng, R. D., & Bell, M. L. (2019) · Environmental Research · doi:10.1016/j.envres.2019.108546 · Cited by 70
High temperatures-related elderly mortality varied greatly from year to year: important information for heat-warning systems
Guo, Y., Barnett, A. G., & Tong, S. (2012) · Scientific Reports · doi:10.1038/srep00830 · Cited by 68
Mortality Related to Extreme Temperature for 15 Cities in Northeast Asia
Chung, Y., Lim, Y., Honda, Y., Guo, Y. L., Hashizume, M., Bell, M. L., Chen, B., & Kim, H. (2015) · Epidemiology · doi:10.1097/ede.0000000000000229 · Cited by 64
Fast Low-Rank Bayesian Matrix Completion With Hierarchical Gaussian Prior Models
Yang, L., Fang, J., Duan, H., Li, H., & Zeng, B. (2018) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2018.2816575 · Cited by 62
Posterior propriety and admissibility of hyperpriors in normal hierarchical models
Berger, J. O., Strawderman, W. E., & Tang, D. (2005) · The Annals of Statistics · doi:10.1214/009053605000000075 · Cited by 55
Asian dust and daily all-cause or cause-specific mortality in western Japan
Kashima, S., Yorifuji, T., Tsuda, T., & Eboshida, A. (2012) · Occupational and Environmental Medicine · doi:10.1136/oemed-2012-100797 · Cited by 55
Seasonal analysis of the short-term effects of air pollution on daily mortality in Northeast Asia
Kim, S. E., Honda, Y., Hashizume, M., Kan, H., Lim, Y., Lee, H., Kim, C. T., Yi, S., & Kim, H. (2016) · The Science of The Total Environment · doi:10.1016/j.scitotenv.2016.10.036 · Cited by 50
Conservative prior distributions for variance parameters in hierarchical models
Gustafson, P., Hossain, S., & MacNab, Y. C. (2006) · Canadian Journal of Statistics · doi:10.1002/cjs.5550340302 · Cited by 49
Shrinkage Estimation in Multilevel Normal Models
Morris, C. N., & Lysy, M. (2012) · Statistical Science · doi:10.1214/11-sts363 · Cited by 46
Self-citation
Ozone and childhood respiratory disease in three US cities: evaluation of effect measure modification by neighborhood socioeconomic status using a Bayesian hierarchical approach
O’Lenick, C. R., Chang, H. H., Kramer, M. R., Winquist, A. G., Mulholland, J. A., Friberg, M. D., & Sarnat, S. E. (2017) · Environmental Health · doi:10.1186/s12940-017-0244-2 · Cited by 46
A Bayesian Hierarchical Distributed Lag Model for Estimating the Time Course of Risk of Hospitalization Associated with Particulate Matter Air Pollution
Peng, R. D., Dominici, F., & Welty, L. J. (2008) · Journal of the Royal Statistical Society Series C (Applied Statistics) · doi:10.1111/j.1467-9876.2008.00640.x · Cited by 31
Structural Equation Modeling
(2006) · Statistics, a series of textbooks and monographs · doi:10.1201/b15891-14 · Cited by 31
Temperature-mortality relationship in North Carolina, USA: Regional and urban-rural differences
Choi, H. M., Chen, C., Son, J.-Y., & Bell, M. L. (2021) · The Science of The Total Environment · doi:10.1016/j.scitotenv.2021.147672 · Cited by 28
The effect of primary organic particles on emergency hospital admissions among the elderly in 3 US cities
Kioumourtzoglou, M., Zanobetti, A., Schwartz, J. D., Coull, B. A., Dominici, F., & Suh, H. H. (2013) · Environmental Health · doi:10.1186/1476-069x-12-68 · Cited by 28
A multicity study of air pollution and cardiorespiratory emergency department visits: Comparing approaches for combining estimates across cities
Krall, J. R., Chang, H. H., Waller, L. A., Mulholland, J. A., Winquist, A. G., Talbott, E. O., Rager, J. R., Tolbert, P. E., & Sarnat, S. E. (2018) · Environment International · doi:10.1016/j.envint.2018.07.033 · Cited by 26
Applying a moving total mortality count to the cities in the NMMAPS database to estimate the mortality effects of particulate matter air pollution
Roberts, S., & Martin, M. A. (2006) · Occupational and Environmental Medicine · doi:10.1136/oem.2005.023317 · Cited by 25
Hierarchical bivariate time series models: a combined analysis of the effects of particulate matter on morbidity and mortality
Dominici, F. (2004) · Biostatistics · doi:10.1093/biostatistics/5.3.341 · Cited by 25
Air quality and acute deaths in California, 2000–2012
Young, S. S., Smith, R. L., & Lopiano, K. K. (2017) · Regulatory Toxicology and Pharmacology · doi:10.1016/j.yrtph.2017.06.003 · Cited by 27
Associations of Particulate Matter With Stroke Mortality
Yorifuji, T., & Kashima, S. (2013) · Journal of Occupational and Environmental Medicine · doi:10.1097/jom.0b013e3182973092 · Cited by 23
Classifying heatwaves: developing health-based models to predict high-mortality versus moderate United States heatwaves
Anderson, G. B., Oleson, K. W., Jones, B., & Peng, R. D. (2016) · Climatic Change · doi:10.1007/s10584-016-1776-0 · Cited by 23
Do temporal trends of associations between short-term exposure to fine particulate matter (PM2.5) and risk of hospitalizations differ by sub-populations and urbanicity—a study of 968 U.S. counties and the Medicare population
Chen, C., Chan, A. Y., Dominici, F., Peng, R. D., Sabath, M. B., Di, Q., Schwartz, J. D., & Bell, M. L. (2021) · Environmental Research · doi:10.1016/j.envres.2021.112271 · Cited by 21
Distributed Reproducible Research Using Cached Computations
Peng, R. D., & Eckel, S. P. (2008) · Computing in Science & Engineering · doi:10.1109/mcse.2009.6 · Cited by 22
The Bayesian Analysis of Complex, High-Dimensional Models: Can It Be CODA?
Ritov, Y., Bickel, P. J., Gamst, A. C., & Kleijn, B. (2014) · Statistical Science · doi:10.1214/14-sts483 · Cited by 18
A Bayesian Algorithm for Functional Mapping of Dynamic Complex Traits
Liu, T., & Wu, R. (2009) · Algorithms · doi:10.3390/a2020667 · Cited by 16
Caching and Distributing Statistical Analyses inR
Peng, R. D. (2008) · Journal of Statistical Software · doi:10.18637/jss.v026.i07 · Cited by 16
The choice of prior distribution for a covariance matrix in multivariate meta‐analysis: a simulation study
Rúa, S. M. H., Mazumdar, M., & Strawderman, R. L. (2015) · Statistics in Medicine · doi:10.1002/sim.6631 · Cited by 15
Empirical Bayes Confidence Intervals for Selected Parameters in High-Dimensional Data
Hwang, J. T. G., & Zhao, Z. (2013) · Journal of the American Statistical Association · doi:10.1080/01621459.2013.771102 · Cited by 13
Low-Rank Phase Retrieval via Variational Bayesian Learning
Liu, K., Wang, J., Xing, Z., Yang, L., & Fang, J. (2018) · IEEE Access · doi:10.1109/access.2018.2889518 · Cited by 12
Simulation from Wishart Distributions with Eigenvalue Constraints
Everson, P. J., & Morris, C. N. (2000) · Journal of Computational and Graphical Statistics · doi:10.2307/1390660 · Cited by 11
Self-citation
The effects of ambient temperature variation on respiratory hospitalizations in summer, New York State
Lin, S., Insaf, T. Z., Luo, M., & Hwang, S. (2012) · International Journal of Occupational and Environmental Health · doi:10.1179/1077352512z.00000000028 · Cited by 10
Methods for Bias Reduction in Time-Series Studies of Particulate Matter Air Pollution and Mortality
Roberts, S., & Martin, M. A. (2007) · Journal of Toxicology and Environmental Health · doi:10.1080/15287390600974668 · Cited by 9
On automating Markov chain Monte Carlo for a class of spatial modelsPreprint
Haran, M., & Tierney, L. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1205.0499 · Cited by 9
Issues In Semi-Parametric Regression With Applications In Time Series Models For Air Pollution And Mortality
Dominici, F., McDermott, A., & Hastie, T. J. (2003) · Cited by 8
A hierarchical modeling approach to estimate regional acute health effects of particulate matter sources
Krall, J. R., Hackstadt, A. J., & Peng, R. D. (2017) · Statistics in Medicine · doi:10.1002/sim.7210 · Cited by 8
A class of shrinkage priors for the dependence structure in longitudinal data
Daniels, M. J. (2003) · Journal of Statistical Planning and Inference · doi:10.1016/j.jspi.2003.09.026 · Cited by 8
A Heterogeneous Clustering Approach for Human Activity Recognition
Kafle, S., & Dou, D. (2016) · Lecture notes in computer science · doi:10.1007/978-3-319-43946-4_5 · Cited by 7
The National Morbidity, Mortality, and Air Pollution Study Database in R
Peng, R. D., Welty, L. J., & McDermott, A. (2004) · Collection of Biostatistics Research Archive (COBRA) · Cited by 7
A NOTE ON FIRST-STAGE APPROXIMATION IN TWO-STAGE HIERARCHICAL MODELS*
Daniels, M. J., & Kass, R. E. (2016) · Cited by 7
Posterior Propriety for Hierarchical Models with Log-Likelihoods That Have Norm Bounds
Michalak, S., & Morris, C. N. (2015) · Bayesian Analysis · doi:10.1214/15-ba962 · Cited by 6
Self-citation
LEARNING FROM NEAR MISSES IN MEDICATION ERRORS: A BAYESIAN APPROACH
Myers, J. A., Dominici, F., & Morlock, L. (2008) · Collection of Biostatistics Research Archive · Cited by 6
Hierarchical Bayesian Approach to a Multi-Site Hidden Markov Model
Kim, D. H., Goh, G., & Kim, Y. (2013) · Communications in Statistics - Simulation and Computation · doi:10.1080/03610918.2012.732171 · Cited by 6
An objective prior for hyperparameters in normal hierarchical models
Berger, J. O., Sun, D., & Song, C. (2020) · Journal of Multivariate Analysis · doi:10.1016/j.jmva.2020.104606 · Cited by 5
The temporal trend and disparity in short-term health impacts of fine particulate matter in California (2006–2019)
Chen, C., Teyton, A., & Benmarhnia, T. (2024) · The Science of The Total Environment · doi:10.1016/j.scitotenv.2024.176543 · Cited by 4
A statistical inference for concentrations of benzo[a]pyrene partially measured in the ambient air of an industrial city in Korea
Kim, Y., Seo, Y.-K., & Baek, S. (2013) · Atmospheric Environment · doi:10.1016/j.atmosenv.2013.08.056 · Cited by 4
Variation in New Zealand hospital outcomes: combining hierarchical Bayesian modeling and propensity score methods for hospital performance comparisons
Graham, P. J., Hider, P. N., Cumming, J., Raymont, A., & Finlayson, M. (2012) · Health Services and Outcomes Research Methodology · doi:10.1007/s10742-012-0079-9 · Cited by 3
Frequency coverage properties of a uniform shrinkage prior distribution
Tak, H. (2017) · Journal of Statistical Computation and Simulation · doi:10.1080/00949655.2017.1349769 · Cited by 3
Data transforming augmentation for heteroscedastic models
Tak, H., You, K., Ghosh, S. K., Su, B., & Kelly, J. (2019) · Journal of Computational and Graphical Statistics · doi:10.1080/10618600.2019.1704295 · Cited by 3
Air quality and acute deaths in California, 2000-2012Preprint
Lopiano, K. K., Smith, R. L., & Young, S. S. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1502.03062 · Cited by 3
Exact bayesian inference for normal hierarchical models
Everson, P. J. (2001) · Journal of Statistical Computation and Simulation · doi:10.1080/00949650108812068 · Cited by 2
Self-citation
Nonparametric Bayesian analysis for multi-site hidden Markov model
Kim, D. H., Jo, A., & Kim, Y. (2016) · Communications in Statistics - Simulation and Computation · doi:10.1080/03610918.2015.1137592 · Cited by 2
Conjugate distributions in hierarchical Bayesian ANOVA for computational efficiency and assessments of both practical and statistical significancePreprint
Geinitz, S., & Furrer, R. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1303.3390 · Cited by 2
Fast and Exact Simulation of Multivariate Normal and Wishart Random Variables with Box ConstraintsPreprint
Koch, H., & Bopp, G. P. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1907.00057 · Cited by 2
Posterior propriety of an objective prior for generalized hierarchical normal linear models
Lin, C., Sun, D., & Song, C. (2022) · Statistical Theory and Related Fields · doi:10.1080/24754269.2021.1978206 · Cited by 1
COVARIANCE MATRICES AND SKEWNESS: MODELING AND APPLICATIONS IN FINANCE
Liechty, M. W. (2003) · Cited by 1
An analysis of the potential impact of various ozone regulatory standards on mortality
Kim, Y. (2011) · Journal of the Korean Data and Information Science Society
Meta‐analysis and multilevel models
Congdon, P. D. (2014) · Wiley series in probability and statistics · doi:10.1002/9781118895047.ch5
Air Pollution Risk
Smith, R. L. (2014) · Wiley StatsRef: Statistics Reference Online · doi:10.1002/9781118445112.stat03779
Estimating the effects of ambient temperature on mortality : methodological challenges and proposed solutions
Guo, Y. (2012)
BAYES AND EMPIRICAL BAYES BENCHMARKING FOR SMALL AREA ESTIM ATION
Steorts, R. C. (2012)
Statistical estimation and changepoint detection methods in public health surveillance
Reynolds, S. B. (2015) · SMARTech Repository (Georgia Institute of Technology)

Authors: Everson, P. J., & Morris, C. N.
Affiliations: Swarthmore College (US)
Harvard University (US)
Corresponding author: Everson, Philip J.
Venue: Journal of the Royal Statistical Society Series B: Statistical Methodology
Publisher: Oxford University Press (OUP)
Published: 2000-07-01
Volume: 62
Issue: 2
Pages: 399-412
ISSN: 1369-7412 (ISSN-L)
1467-9868
DOI: 10.1111/1467-9868.00239
OpenAlex: W1992951219
Cited by: 107
References: 28
Citations by year: 2025: 1 · 2024: 1 · 2022: 1 · 2021: 3 · 2020: 1 · 2019: 4 · 2018: 3 · 2017: 5 · 2016: 7 · 2015: 7 · 2014: 6 · 2013: 9 · 2012: 11
FWCI: 3.99
Type: journal article
Language: en
Open access: closed
Licence: academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model (vor)
Locations: Journal of the Royal Statistical Society Series B (Statistical Methodology) (publishedVersion)
Works - Scholarship, Research, & Creative Expression (Swarthmore College) (submittedVersion)
RePEc: Research Papers in Economics (submittedVersion)
Funders: Harvard University
Topics: Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
Physical Sciences › Mathematics › Statistics and Probability › Markov Chains and Monte Carlo Methods
Physical Sciences › Computer Science › Artificial Intelligence › Bayesian Methods and Mixture Models
Keywords: two-level model, marginal posterior distributions, rejection sampling, empirical Bayes, posterior mean estimation, operating characteristics

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

Inference for Multivariate Normal Hierarchical Models

Abstract

Overview

Integrity signals

Verification

Claims the paper makes

Self-check

Citations

Cites

Cited by

Related

Metadata

Record

About these checks