Example simulated trial. An example of a simulated trial (extra censoring, decreasing hazard) when the regression and least squares methods greatly overestimate the mean time. The Kaplan-Meier curve is the stepped function with tick marks indicating censorships. The time intervals are 0.5 units, indicated by the filled dots. The least squares and regression methods fit to these filled dots, and their fitted curves are the top two continuous lines, which are almost co-incident. The curves fit by maximum likelihood applied to the IPD and by the proposed method and are shown by the other pair of continuous lines, also almost co-incident. The underlying population Weibull distribution is shown by the lowest continuous curve.