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Under pre-specified assumptions, and based on Greenwood's formula for standard error of survival [ 25], with a sample of 50 patients in the study, the rate of adherence will be 86% by the beginning of the sixth cycle when more than 50% of patients will be expected to discontinue pemetrexed treatment.
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Standard errors of survival rates were calculated according to Greenwood's (1926) method.
Standard errors of survival estimates were calculated according to Greenwood's (1926) method.
We did not include standard errors of survival estimates obtained with the various methods.
Therefore, the standard error is commonly computed as the ratio between the standard error of absolute survival and the expected survival (Parkin and Hakulinen, 1991; Estéve et al, 1994).
As the age variability within these age groups is much smaller, the correlation of absolute and expected survival and the standard error of expected survival may be much lower.
To investigate the assumption of negligible standard error of expected survival and negligible correlation between absolute and expected survival, standard errors for non-standardised expected survival were estimated by bootstrapping, and Pearson's correlation coefficients of the point estimates of non-standardised absolute and expected survival in the bootstrap samples were calculated.
For all cancer sites, they were higher for 10-year than for 5-year survival and, although lower than standard error of absolute survival, generally not negligible.
In the computation of the standard error of relative survival it is commonly assumed that the variance of expected survival is zero (which implies that the covariance with absolute survival is also zero), as the database underlying the population life tables is usually very large.
The commonly used definition of the standard error of relative survival is based on the assumption of zero standard error of expected survival.
The accuracy of the standard error of relative survival was estimated by the ratio between the conventional and bootstrap standard error.
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