BMC Medical Research Methodology

Table 3 Ad-hoc estimators of probability of clinical stability for artificial data

From: How to handle mortality when investigating length of hospital stay and time to clinical stability

				Restricted Analysis			Assign Worst Outcome
t _i	y _i	s _i	d _i	${\hat{S}}_{c s}^{R} (t_{i})$	$1 - {\hat{S}}_{c s}^{R} (t_{i})$	SE	${\hat{S}}_{c s}^{W} (t_{i})$	$1 - {\hat{S}}_{c s}^{W} (t_{i})$	SE
2	10	2	0	1-2/8 = 0.75	0.25	0.153	1-2/10 = 0.8	0.2	0.126
3	8	0	1	0.75	0.25	0.153	0.8	0.2	0.126
4	7	1	0	0.75*(1-1/6) = 0.63	0.37	0.171	0.8*(1-1/8) = 0.7	0.3	0.145
5	6	1	1	0.63*(1-1/5) = 0.50	0.5	0.177	0.7*(1-1/7) = 0.6	0.4	0.155
7	4	1	0	0.5*(1-1/4) = 0.38	0.62	0.171	0.6*(1-1/6) = 0.5	0.5	0.158
> 7	3			0.38	0.62		0.5	0.5

t _i = ith time point; y _i = number at risk at time t _i; s _i = number clinically stable at time t _i; d _i = number who died at time t _i; SE = standard error

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