Contents
How are martingale residuals calculated?
Martingale residuals rMi can be defined as rMi=δi−rCi where δi is a switch taking the value 0 if observation i is censored and 1 if observation i is uncensored. Martingale residuals take a value between [1,−∞] for uncensored observations and [0,−∞] for censored observations.
How are Cox-Snell residuals calculated?
The Cox-Snell residual for this individual, evaluated at the censored survival time, is then given by roi = К;(t) = – log ŝi(ti), where Hi(t) and Si(tk) are the estimated cumulative hazard and survivor functions, respectively, for the ith individual at the censored survival time.
What is a Schoenfeld residual?
Schoenfeld residuals. The Schoenfeld residual is defined as the covariate value for the individual that failed minus its expected value. (Yields residuals for each individual who failed, for each covariate).
What is Cox Snell residuals?
Cox-Snell residuals are a type of standardized residuals used in reliability analysis. A residual is the difference between an observed data point and a predicted or fitted value. The Cox-Snell residuals are equal to the negative of the natural log of the survival probability for each observation.
What is a residual score?
Each person’s residual score is the difference between their predicted score (determined by the values of the IV’s) and the actual observed score of your DV by that individual. That “left-over” value is a residual.
What is Cox and Snell R Square?
Cox and Snell’s R 2 1 is based on the log likelihood for the model compared to the log likelihood for a baseline model. However, with categorical outcomes, it has a theoretical maximum value of less than 1, even for a “perfect” model.
What is an example of a good residual plot?
Residual Plot: Example For example, it may show obvious outliers in the data, or that there is a pattern to the data so that the prediction does not really fit the data well. In the figure appearing here, the graph on the left is data of stopping distance of a car versus its speed.