Biomaterial Database

Hazard regression with interval-censored data. 1997

C Kooperberg, and D B Clarkson

Department of Statistics, University of Washington, Seattle 98195-4322, USA.

In a recent paper, Kooperberg, Stone, and Truong (1995a) introduced hazard regression (HARE), in which linear splines and their tensor products are used to estimate the conditional log-hazard function based on possibly censored, positive response data and one or more covariates. Model selection is carried out in an adaptive fashion using maximum likelihood estimation of the unknown coefficients, Rao and Wald statistics to carry out stepwise addition and deletion of basis functions, and the Bayesian Information Criterion (BIC) to select the final model. In the present paper, the HARE methodology is extended to accommodate interval-censored data, time-dependent covariates, and cubic splines. The presence of interval-censored data means that the log-likelihood function may no longer be concave, presenting additional numerical challenges. The extended methodology is applied to a data set containing both interval-censoring and time-dependent covariates. The new software will be available in a future release of S-Plus.

UI	MeSH Term	Description	Entries
D008297	Male		Males
D005500	Follow-Up Studies	Studies in which individuals or populations are followed to assess the outcome of exposures, procedures, or effects of a characteristic, e.g., occurrence of disease.	Followup Studies,Follow Up Studies,Follow-Up Study,Followup Study,Studies, Follow-Up,Studies, Followup,Study, Follow-Up,Study, Followup
D006679	HIV Seropositivity	Development of neutralizing antibodies in individuals who have been exposed to the human immunodeficiency virus (HIV/HTLV-III/LAV).	AIDS Seroconversion,AIDS Seropositivity,Anti-HIV Positivity,HIV Antibody Positivity,HIV Seroconversion,HTLV-III Seroconversion,HTLV-III Seropositivity,AIDS Seroconversions,AIDS Seropositivities,Anti HIV Positivity,Anti-HIV Positivities,Antibody Positivities, HIV,Antibody Positivity, HIV,HIV Antibody Positivities,HIV Seroconversions,HIV Seropositivities,HTLV III Seroconversion,HTLV III Seropositivity,HTLV-III Seroconversions,HTLV-III Seropositivities,Positivities, Anti-HIV,Positivities, HIV Antibody,Positivity, Anti-HIV,Positivity, HIV Antibody,Seroconversion, AIDS,Seroconversion, HIV,Seroconversion, HTLV-III,Seroconversions, AIDS,Seroconversions, HIV,Seroconversions, HTLV-III,Seropositivities, AIDS,Seropositivities, HIV,Seropositivities, HTLV-III,Seropositivity, AIDS,Seropositivity, HIV,Seropositivity, HTLV-III
D006801	Humans	Members of the species Homo sapiens.	Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000163	Acquired Immunodeficiency Syndrome	An acquired defect of cellular immunity associated with infection by the human immunodeficiency virus (HIV), a CD4-positive T-lymphocyte count under 200 cells/microliter or less than 14% of total lymphocytes, and increased susceptibility to opportunistic infections and malignant neoplasms. Clinical manifestations also include emaciation (wasting) and dementia. These elements reflect criteria for AIDS as defined by the CDC in 1993.	AIDS,Immunodeficiency Syndrome, Acquired,Immunologic Deficiency Syndrome, Acquired,Acquired Immune Deficiency Syndrome,Acquired Immuno-Deficiency Syndrome,Acquired Immuno Deficiency Syndrome,Acquired Immuno-Deficiency Syndromes,Acquired Immunodeficiency Syndromes,Immuno-Deficiency Syndrome, Acquired,Immuno-Deficiency Syndromes, Acquired,Immunodeficiency Syndromes, Acquired,Syndrome, Acquired Immuno-Deficiency,Syndrome, Acquired Immunodeficiency,Syndromes, Acquired Immuno-Deficiency,Syndromes, Acquired Immunodeficiency
D001003	Anal Canal	The terminal segment of the LARGE INTESTINE, beginning from the ampulla of the RECTUM and ending at the anus.	Anal Gland, Human,Anal Sphincter,Anus,Anal Gland,Anal Glands, Human,Detrusor External Sphincter,External Anal Sphincter,Internal Anal Sphincter,Anal Sphincter, External,Anal Sphincter, Internal,Anal Sphincters,Detrusor External Sphincters,External Anal Sphincters,Human Anal Gland,Human Anal Glands,Internal Anal Sphincters,Sphincter, Anal,Sphincter, Detrusor External,Sphincter, External Anal,Sphincter, Internal Anal,Sphincters, Anal
D001499	Bayes Theorem	A theorem in probability theory named for Thomas Bayes (1702-1761). In epidemiology, it is used to obtain the probability of disease in a group of people with some characteristic on the basis of the overall rate of that disease and of the likelihood of that characteristic in healthy and diseased individuals. The most familiar application is in clinical decision analysis where it is used for estimating the probability of a particular diagnosis given the appearance of some symptoms or test result.	Bayesian Analysis,Bayesian Estimation,Bayesian Forecast,Bayesian Method,Bayesian Prediction,Analysis, Bayesian,Bayesian Approach,Approach, Bayesian,Approachs, Bayesian,Bayesian Approachs,Estimation, Bayesian,Forecast, Bayesian,Method, Bayesian,Prediction, Bayesian,Theorem, Bayes
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
D016013	Likelihood Functions	Functions constructed from a statistical model and a set of observed data which give the probability of that data for various values of the unknown model parameters. Those parameter values that maximize the probability are the maximum likelihood estimates of the parameters.	Likelihood Ratio Test,Maximum Likelihood Estimates,Estimate, Maximum Likelihood,Estimates, Maximum Likelihood,Function, Likelihood,Functions, Likelihood,Likelihood Function,Maximum Likelihood Estimate,Test, Likelihood Ratio