Sentence examples for between the hazard function from inspiring English sources
The relation between the hazard function and the covariates was modeled by Cox's proportional-hazard regression.
First, there is a multiplicative relationship between the hazard function and the log-linear function of covariates.
Also, it assumes a log-linear relationship between the hazard function and the time and any number of metric and/or nonmetric variables.
The association between the hazard function and the explanatory variables was analysed by using a modification of Cox proportional hazards regression models.
Second, a Cox regression model was built between the hazard function of MetS and the extracted factors in 1,565 subjects in the cohort study design: h(t) = h0 t)exp(β0age + β1F1 + β2F2 + … + βkFk), and a MSP was developed by MSP = β1F1 + β2F2 + … + βkFk.
Since the proportional hazards regression is dependent of proportionality between the hazard function of those exposed and those not exposed, the hazard functions across the follow-up period were calculated separately for men and women with the SAS procedure 'Life-test' providing tabulated and plotted hazards levels for exposed and unexposed groups.
This proves that the proportionality assumption between the hazard functions λ13 and λ23 in model J does not match the data.
The proportionality assumption and the assumption of a log-linear relationship between the prognosticators and the hazard function were fulfilled for all tested variables.
In fact, the models commonly applied, such as the Exponential, Weibull or Gompertz models, take their names from the distribution that the survival times are assumed to follow, but the most distinguishing features between them are in the hazard function.
The majority of the treatments take place within the same period (d=1), thus, the aggregate hazard curve decreases between d=1 and 2. In addition, since the more severe cases are treated within the first three periods, we observe a second drop in the hazard function between durations 3 and 4.
In the models, we allowed for stratification (see [36]) according to colony, in order to control for any variation in the shape of the hazard function between colonies, potentially due to spatial variation in ecological factors.
