Cox Models is a term used in statistical analysis, specifically in survival analysis. The correct spelling of Cox Models is /kɑks ˈmɑdəlz/. The word "Cox" is spelled with a "C" and pronounced with the vowel sound of "ah" and the consonant sound of "ks". "Models" is spelled with an "M" and pronounced with the vowel sound of "a" and the consonant sound of "dls." In Cox Models, the "Cox" refers to the name of the statistician who developed the models, Sir David Cox.
Cox Models refers to a statistical tool used in survival analysis, which is a branch of statistics focused on studying the time until an event of interest occurs. More specifically, Cox Models are used for analyzing the relationship between a set of predictor variables and the time to an event, such as death or failure.
The Cox Model is a type of regression model, also known as a proportional hazards model, that allows researchers to estimate the effect of explanatory variables on survival time while accounting for censoring, which occurs when some individuals have not experienced the event of interest by the end of the study. This censoring may arise due to loss to follow-up, withdrawal from study, or other reasons.
Cox Models assume that the hazard rate (the risk of experiencing an event at a specific time, given that the event has not yet occurred) is proportional across different levels of the explanatory variables. By estimating the hazard ratio, researchers can determine the magnitude and direction of the effect that each predictor variable has on the hazard of the event occurring.
The Cox Model provides valuable insights into the factors influencing survival time by allowing the identification of significant predictors in the presence of censoring. It is widely used in various fields, such as medical research, epidemiology, and social sciences, to study time-to-event data and make predictions about future events based on observed variables.
The term "Cox models" is named after the British statisticians Sir David Cox and Raymond O. Stirling. Sir David Cox extensively developed and popularized the proportional hazards model, known as the Cox proportional hazards model, which is commonly used in survival analysis. Thus, the term "Cox models" refers to statistical models and methods developed by Sir David Cox.