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Fifty Years of the Cox Model

Fifty Years of the Cox Model
Author: John D. Kalbfleisch
Publisher:
Total Pages: 0
Release: 2023
Genre:
ISBN:

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The Cox model is now 50 years old. The seminal paper of Sir David Cox has had an immeasurable impact on the analysis of censored survival data, with applications in many different disciplines. This work has also stimulated much additional research in diverse areas and led to important theoretical and practical advances. These include semiparametric models, nonparametric efficiency, and partial likelihood. In addition to quickly becoming the go-to method for estimating covariate effects, Cox regression has been extended to a vast number of complex data structures, to all of which the central idea of sampling from the set of individuals at risk at time can be applied. In this article, we review the Cox paper and the evolution of the ideas surrounding it. We then highlight its extensions to competing risks, with attention to models based on cause-specific hazards, and to hazards associated with the subdistribution or cumulative incidence function. We discuss their relative merits and domains of application. The analysis of recurrent events is another major topic of discussion, including an introduction to martingales and complete intensity models as well as the more practical marginal rate models. We include several worked examples to illustrate the main ideas.


Dodge & Cox

Dodge & Cox
Author: E. Morris Cox
Publisher:
Total Pages: 28
Release: 1980
Genre: Investment advisors
ISBN:

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Data Analysis and Related Applications 4

Data Analysis and Related Applications 4
Author: Yiannis Dimotikalis
Publisher: John Wiley & Sons
Total Pages: 420
Release: 2024-10-08
Genre: Computers
ISBN: 1786309920

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Regression with Linear Predictors

Regression with Linear Predictors
Author: Per Kragh Andersen
Publisher: Springer
Total Pages: 502
Release: 2010-07-15
Genre: Mathematics
ISBN: 144197170X

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This is a book about regression analysis, that is, the situation in statistics where the distribution of a response (or outcome) variable is related to - planatory variables (or covariates). This is an extremely common situation in the application of statistical methods in many ?elds, andlinear regression,- gistic regression, and Cox proportional hazards regression are frequently used for quantitative, binary, and survival time outcome variables, respectively. Several books on these topics have appeared and for that reason one may well ask why we embark on writing still another book on regression. We have two main reasons for doing this: 1. First, we want to highlightsimilaritiesamonglinear,logistic,proportional hazards,andotherregressionmodelsthatincludealinearpredictor. These modelsareoftentreatedentirelyseparatelyintextsinspiteofthefactthat alloperationsonthemodelsdealingwiththelinearpredictorareprecisely the same, including handling of categorical and quantitative covariates, testing for linearity and studying interactions. 2. Second, we want to emphasize that, for any type of outcome variable, multiple regression models are composed of simple building blocks that areaddedtogetherinthelinearpredictor:thatis,t-tests,one-wayanalyses of variance and simple linear regressions for quantitative outcomes, 2×2, 2×(k+1) tables and simple logistic regressions for binary outcomes, and 2-and (k+1)-sample logrank testsand simple Cox regressionsfor survival data. Thishastwoconsequences. Allthesesimpleandwellknownmethods can be considered as special cases of the regression models. On the other hand, the e?ect of a single explanatory variable in a multiple regression model can be interpreted in a way similar to that obtained in the simple analysis, however, now valid only for the other explanatory variables in the model “held ?xed”.


Studying the Power Elite

Studying the Power Elite
Author: G. William Domhoff
Publisher: Routledge
Total Pages: 261
Release: 2017-08-04
Genre: Political Science
ISBN: 1351588613

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This book critiques and extends the analysis of power in the classic, Who Rules America?, on the fiftieth anniversary of its original publication in 1967—and through its subsequent editions. The chapters, written especially for this book by twelve sociologists and political scientists, provide fresh insights and new findings on many contemporary topics, among them the concerted attempt to privatize public schools; foreign policy and the growing role of the military-industrial component of the power elite; the successes and failures of union challenges to the power elite; the ongoing and increasingly global battles of a major sector of agribusiness; and the surprising details of how those who hold to the egalitarian values of social democracy were able to tip the scales in a bitter conflict within the power elite itself on a crucial banking reform in the aftermath of the Great Recession. These social scientists thereby point the way forward in the study of power, not just in the United States, but globally. A brief introductory chapter situates Who Rules America? within the context of the most visible theories of power over the past fifty years—pluralism, Marxism, Millsian elite theory, and historical institutionalism. Then, a chapter by G. William Domhoff, the author of Who Rules America?, takes us behind the scenes on how the original version was researched and written, tracing the evolution of the book in terms of new concepts and research discoveries by Domhoff himself, as well as many other power structure researchers, through the 2014 seventh edition. Readers will find differences of opinion and analysis from chapter to chapter. The authors were encouraged to express their views independently and frankly. They do so in an admirable and useful fashion that will stimulate everyone’s thinking on these difficult and complex issues, setting the agenda for future studies of power.


Fifty Years of Aviation Progress

Fifty Years of Aviation Progress
Author: United States. National Committee to Observe the 50th Anniversary of Powered Flight
Publisher:
Total Pages: 68
Release: 1953
Genre: Aeronautics
ISBN:

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50 Years of Discovery

50 Years of Discovery
Author: Daniel Levy (M.D.)
Publisher:
Total Pages: 624
Release: 1999
Genre: Cardiovascular system
ISBN:

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Survival Analysis

Survival Analysis
Author: John O'Quigley
Publisher: Springer Nature
Total Pages: 475
Release: 2021-04-27
Genre: Mathematics
ISBN: 3030334392

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This book provides an extensive coverage of the methodology of survival analysis, ranging from introductory level material to deeper more advanced topics. The framework is that of proportional and non-proportional hazards models; a structure that is broad enough to enable the recovery of a large number of established results as well as to open the way to many new developments. The emphasis is on concepts and guiding principles, logical and graphical. Formal proofs of theorems, propositions and lemmas are gathered together at the end of each chapter separate from the main presentation. The intended audience includes academic statisticians, biostatisticians, epidemiologists and also researchers in these fields whose focus may be more on the applications than on the theory. The text could provide the basis for a two semester course on survival analysis and, with this goal in mind, each chapter includes a section with a range of exercises as a teaching aid for instructors.


Homelands

Homelands
Author: Nadav G. Shelef
Publisher: Cornell University Press
Total Pages: 398
Release: 2020-07-15
Genre: Political Science
ISBN: 1501709720

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Why are some territorial partitions accepted as the appropriate borders of a nation's homeland, whereas in other places conflict continues despite or even because of division of territory? In Homelands, Nadav G. Shelef develops a theory of what homelands are that acknowledges both their importance in domestic and international politics and their change over time. These changes, he argues, driven by domestic political competition and help explain the variation in whether partitions resolve conflict. Homelands also provides systematic, comparable data about the homeland status of lost territory over time that allow it to bridge the persistent gap between constructivist theories of nationalism and positivist empirical analyses of international relations.


Fifty Years a Journalist

Fifty Years a Journalist
Author: Melville Elijah Stone
Publisher:
Total Pages: 414
Release: 1921
Genre:
ISBN:

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