# we present a new method for estimating the underlying survival distribution from summary survival data

This is no shock since the proposed we present a new method for estimating the underlying survival distribution from summary survival data, we present a new method for estimating the underlying survival distribution from summary survival data, we present a new method for estimating the underlying survival distribution from summary survival data approach correctly pre dicts the figures of occasions and censorships in every time interval. As envisioned, the strategy of fitting to the IPD for each sorts nicely. Nevertheless, the proposed system is about as precise, and presents equivalent estimates of the indicate for each simulated demo. Turning now to uncertainty, we come across that the approximated uncertainty in the signify employing our proposed method was strongly correlated with that using the real IPD when the underlying distribution was exponential and with no further censoring. This indicates, at the very least for this mixture of parameter values, that the uncertainty in the mean estimated by the proposed approach is approxi mately as accurate as that estimated utilizing the real IPD. In just one of the sensitivity analyses of the authentic financial analysis, a Weibull curve was match to the Kaplan Meier graph of progression cost-free survival for interferon alpha from the Motzer et al. randomised controlled demo of sunitinib versus interferon alpha, by regressing ln from ln. Survival possibilities have been taken at regular intervals from the Kaplan Meier graph. This yielded Weibull parameters l . 16 and g . 88. Next, l for sunitinib was calculated as l for interferon alpha multiplied by the hazard ratio of . 42, reported in the demo. g for sunitinib was set equal to g for interferon alpha. This gave a suggest progression cost-free survival of 8. 6 months for inter feron alpha and 23. months for sunitinib, and an ICER of £62,000 for each top quality altered life year. Following we in shape a curve to progression totally free survival for interferon alpha by the very least squares, working with knowledge points at . 75 month-to-month intervals. This interval was selected simply because the numbers of patients at danger are presented at 3 monthly intervals, and for consistency with the proposed technique in beneath, we took four measurements from the Kaplan Meier curve for each and every measurement of numbers at chance. The inter feron alpha curve is mainly unchanged, with imply pro gression free of charge survival once more 8. 6 months. Following, we independently match a curve for sunitinib by least squares, against using info details at . seventy five month to month inter vals.

In this circumstance, development absolutely free survival became significantly shorter tailed, with a imply of 11. 5 months, and the ICER fell considerably, to £38,000 QALY, since people on sunitinib are predicted to devote considerably a lot less time having the drug, as the drug is taken whilst individuals are progression cost-free. Eventually, the proposed method was utilized using the survival chances at . seventy five month to month intervals, and the quantities at risk at 3 monthly intervals. Development free of charge survival for interferon alpha grew to become significantly shorter tailed, with a indicate of 6. 2 months, simply because this tactic attaches comparatively less value to the tail of the Kaplan Meier curve in comparison to the other strategies, because of to the smaller figures of patients at chance. Progres sion cost-free survival for sunitinib, suggest thirteen. eight months, was for a longer time tailed than employing the the very least squares strategy, but significantly shorter tailed than the technique used in the first evaluation. The ICER for the proposed technique was £43,000 QALY.