Sentence examples for baseline hazard function and from inspiring English sources

Here, the function h 0 (t) is an unspecified baseline hazard function and gives the shape of the hazard function.

The true hazard is assumed to be 1where is the baseline hazard function and and are coefficients for X and C, respectively.

The hazard function is described as the product of a baseline hazard function and a positive (exponential) function of possibly time-dependent fixed and random covariates.

Modelling the baseline hazard function and relaxing the PH assumption were also proposed using either regression splines or fractional polynomials [ 21- 23].

The regression analyses were performed using flexible parametric models (Royston and Lambert, 2011), described earlier, with which we were able to examine the baseline hazard function and assess the need for model recalibration for use in cohorts outside Japan.

The proposed model defines the survival function of subject i with covariate Z i as follows (3) where λ0 t) is an unspecified baseline hazard function and β an unknown regression parameter.

Regression analyses using flexible parametric models with fractional polynomials enabled fitting of appropriate baseline hazard functions and functional form of covariates.

For convenience, we write the parameters to be estimated as, the mixing proportions,, the set of baseline hazard functions and, the coefficient vectors.

To examine associations between measures of craving, eating factors, and eating behaviors and subsequent or concurrent weight loss or weight gain, a proportional hazards Cox regression with study-specific baseline hazard functions and time-varying covariates was employed, with disease (psychiatric diagnosis) as one of the baseline covariates in the model.

h(t ij )/ h0(t j ) represents an individual's (i) mortality hazard ratio (HR) at time t j and is therefore a product of the baseline hazard function h0, and the individuals true risk score at a given time (i.e. the antilog of each raw coefficient - β1 X1 i + β2 X2 ij ).

In this case, the hazard function of the liability h(t) = h0 t)exp(Xβ + Z 1 h + Z 2 u) is the product of two terms, the baseline hazard function h0 and the regression coefficients term.