Bayes and empirical Bayes methods for reduced rank regression models in matched case-control studies. 2016

Jaya M Satagopan, and Ananda Sen, and Qin Zhou, and Qing Lan, and Nathaniel Rothman, and Hilde Langseth, and Lawrence S Engel
Department of Epidemiology and Biostatistics, Memorial Sloan Kettering Cancer Center, New York 10017, U.S.A.

Matched case-control studies are popular designs used in epidemiology for assessing the effects of exposures on binary traits. Modern studies increasingly enjoy the ability to examine a large number of exposures in a comprehensive manner. However, several risk factors often tend to be related in a nontrivial way, undermining efforts to identify the risk factors using standard analytic methods due to inflated type-I errors and possible masking of effects. Epidemiologists often use data reduction techniques by grouping the prognostic factors using a thematic approach, with themes deriving from biological considerations. We propose shrinkage-type estimators based on Bayesian penalization methods to estimate the effects of the risk factors using these themes. The properties of the estimators are examined using extensive simulations. The methodology is illustrated using data from a matched case-control study of polychlorinated biphenyls in relation to the etiology of non-Hodgkin's lymphoma.

UI MeSH Term Description Entries
D008228 Lymphoma, Non-Hodgkin Any of a group of malignant tumors of lymphoid tissue that differ from HODGKIN DISEASE, being more heterogeneous with respect to malignant cell lineage, clinical course, prognosis, and therapy. The only common feature among these tumors is the absence of giant REED-STERNBERG CELLS, a characteristic of Hodgkin's disease. Non-Hodgkin Lymphoma,Diffuse Mixed Small and Large Cell Lymphoma,Diffuse Mixed-Cell Lymphoma,Diffuse Small Cleaved-Cell Lymphoma,Diffuse Undifferentiated Lymphoma,Lymphatic Sarcoma,Lymphoma, Atypical Diffuse Small Lymphoid,Lymphoma, Diffuse,Lymphoma, Diffuse, Mixed Lymphocytic-Histiocytic,Lymphoma, High-Grade,Lymphoma, Intermediate-Grade,Lymphoma, Low-Grade,Lymphoma, Mixed,Lymphoma, Mixed Cell, Diffuse,Lymphoma, Mixed Lymphocytic-Histiocytic,Lymphoma, Mixed Small and Large Cell, Diffuse,Lymphoma, Mixed-Cell,Lymphoma, Mixed-Cell, Diffuse,Lymphoma, Non-Hodgkin's,Lymphoma, Non-Hodgkin, Familial,Lymphoma, Non-Hodgkins,Lymphoma, Nonhodgkin's,Lymphoma, Nonhodgkins,Lymphoma, Pleomorphic,Lymphoma, Small Cleaved Cell, Diffuse,Lymphoma, Small Cleaved-Cell, Diffuse,Lymphoma, Small Non-Cleaved-Cell,Lymphoma, Small Noncleaved-Cell,Lymphoma, Small and Large Cleaved-Cell, Diffuse,Lymphoma, Undifferentiated,Lymphoma, Undifferentiated, Diffuse,Lymphosarcoma,Mixed Small and Large Cell Lymphoma, Diffuse,Mixed-Cell Lymphoma,Mixed-Cell Lymphoma, Diffuse,Non-Hodgkin's Lymphoma,Reticulosarcoma,Reticulum Cell Sarcoma,Reticulum-Cell Sarcoma,Sarcoma, Lymphatic,Sarcoma, Reticulum-Cell,Small Cleaved-Cell Lymphoma, Diffuse,Small Non-Cleaved-Cell Lymphoma,Small Noncleaved-Cell Lymphoma,Undifferentiated Lymphoma,Diffuse Lymphoma,Diffuse Lymphomas,Diffuse Mixed Cell Lymphoma,Diffuse Mixed-Cell Lymphomas,Diffuse Small Cleaved Cell Lymphoma,Diffuse Undifferentiated Lymphomas,High-Grade Lymphoma,High-Grade Lymphomas,Intermediate-Grade Lymphoma,Intermediate-Grade Lymphomas,Low-Grade Lymphoma,Low-Grade Lymphomas,Lymphatic Sarcomas,Lymphocytic-Histiocytic Lymphoma, Mixed,Lymphocytic-Histiocytic Lymphomas, Mixed,Lymphoma, Diffuse Mixed-Cell,Lymphoma, Diffuse Undifferentiated,Lymphoma, High Grade,Lymphoma, Intermediate Grade,Lymphoma, Low Grade,Lymphoma, Mixed Cell,Lymphoma, Mixed Lymphocytic Histiocytic,Lymphoma, Non Hodgkin,Lymphoma, Non Hodgkin's,Lymphoma, Non Hodgkins,Lymphoma, Nonhodgkin,Lymphoma, Small Non Cleaved Cell,Lymphoma, Small Noncleaved Cell,Lymphosarcomas,Mixed Cell Lymphoma,Mixed Cell Lymphoma, Diffuse,Mixed Lymphocytic-Histiocytic Lymphoma,Mixed Lymphocytic-Histiocytic Lymphomas,Mixed Lymphoma,Mixed Lymphomas,Mixed-Cell Lymphomas,Non Hodgkin Lymphoma,Non Hodgkin's Lymphoma,Non-Cleaved-Cell Lymphoma, Small,Non-Hodgkins Lymphoma,Noncleaved-Cell Lymphoma, Small,Nonhodgkin's Lymphoma,Nonhodgkins Lymphoma,Pleomorphic Lymphoma,Pleomorphic Lymphomas,Reticulosarcomas,Reticulum Cell Sarcomas,Reticulum-Cell Sarcomas,Sarcoma, Reticulum Cell,Small Cleaved Cell Lymphoma, Diffuse,Small Non Cleaved Cell Lymphoma,Small Non-Cleaved-Cell Lymphomas,Small Noncleaved Cell Lymphoma,Small Noncleaved-Cell Lymphomas,Undifferentiated Lymphoma, Diffuse,Undifferentiated Lymphomas
D011078 Polychlorinated Biphenyls Industrial products consisting of a mixture of chlorinated biphenyl congeners and isomers. These compounds are highly lipophilic and tend to accumulate in fat stores of animals. Many of these compounds are considered toxic and potential environmental pollutants. PCBs,Polychlorinated Biphenyl,Polychlorobiphenyl Compounds,Biphenyl, Polychlorinated,Biphenyls, Polychlorinated,Compounds, Polychlorobiphenyl
D012044 Regression Analysis Procedures for finding the mathematical function which best describes the relationship between a dependent variable and one or more independent variables. In linear regression (see LINEAR MODELS) the relationship is constrained to be a straight line and LEAST-SQUARES ANALYSIS is used to determine the best fit. In logistic regression (see LOGISTIC MODELS) the dependent variable is qualitative rather than continuously variable and LIKELIHOOD FUNCTIONS are used to find the best relationship. In multiple regression, the dependent variable is considered to depend on more than a single independent variable. Regression Diagnostics,Statistical Regression,Analysis, Regression,Analyses, Regression,Diagnostics, Regression,Regression Analyses,Regression, Statistical,Regressions, Statistical,Statistical Regressions
D003198 Computer Simulation Computer-based representation of physical systems and phenomena such as chemical processes. Computational Modeling,Computational Modelling,Computer Models,In silico Modeling,In silico Models,In silico Simulation,Models, Computer,Computerized Models,Computer Model,Computer Simulations,Computerized Model,In silico Model,Model, Computer,Model, Computerized,Model, In silico,Modeling, Computational,Modeling, In silico,Modelling, Computational,Simulation, Computer,Simulation, In silico,Simulations, Computer
D003627 Data Interpretation, Statistical Application of statistical procedures to analyze specific observed or assumed facts from a particular study. Data Analysis, Statistical,Data Interpretations, Statistical,Interpretation, Statistical Data,Statistical Data Analysis,Statistical Data Interpretation,Analyses, Statistical Data,Analysis, Statistical Data,Data Analyses, Statistical,Interpretations, Statistical Data,Statistical Data Analyses,Statistical Data Interpretations
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D001699 Biometry The use of statistical and mathematical methods to analyze biological observations and phenomena. Biometric Analysis,Biometrics,Analyses, Biometric,Analysis, Biometric,Biometric Analyses
D015233 Models, Statistical Statistical formulations or analyses which, when applied to data and found to fit the data, are then used to verify the assumptions and parameters used in the analysis. Examples of statistical models are the linear model, binomial model, polynomial model, two-parameter model, etc. Probabilistic Models,Statistical Models,Two-Parameter Models,Model, Statistical,Models, Binomial,Models, Polynomial,Statistical Model,Binomial Model,Binomial Models,Model, Binomial,Model, Polynomial,Model, Probabilistic,Model, Two-Parameter,Models, Probabilistic,Models, Two-Parameter,Polynomial Model,Polynomial Models,Probabilistic Model,Two Parameter Models,Two-Parameter Model
D016022 Case-Control Studies Comparisons that start with the identification of persons with the disease or outcome of interest and a control (comparison, referent) group without the disease or outcome of interest. The relationship of an attribute is examined by comparing both groups with regard to the frequency or levels of outcome over time. Case-Base Studies,Case-Comparison Studies,Case-Referent Studies,Matched Case-Control Studies,Nested Case-Control Studies,Case Control Studies,Case-Compeer Studies,Case-Referrent Studies,Case Base Studies,Case Comparison Studies,Case Control Study,Case Referent Studies,Case Referrent Studies,Case-Comparison Study,Case-Control Studies, Matched,Case-Control Studies, Nested,Case-Control Study,Case-Control Study, Matched,Case-Control Study, Nested,Case-Referent Study,Case-Referrent Study,Matched Case Control Studies,Matched Case-Control Study,Nested Case Control Studies,Nested Case-Control Study,Studies, Case Control,Studies, Case-Base,Studies, Case-Comparison,Studies, Case-Compeer,Studies, Case-Control,Studies, Case-Referent,Studies, Case-Referrent,Studies, Matched Case-Control,Studies, Nested Case-Control,Study, Case Control,Study, Case-Comparison,Study, Case-Control,Study, Case-Referent,Study, Case-Referrent,Study, Matched Case-Control,Study, Nested Case-Control

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