Table 4 Results of the two applications.

application	method	set	\({\hat{\pi }}_{0}\)	\({\hat{\pi }}_{1}\)	\(\hat{\theta }\)	SE	95% CI
A - Multiple sclerosis	GC	outcome	20.3	28.2	0.432	0.189	[0.062, 0.802]
		treatment*	20.3	28.3	0.436	0.195	[0.054, 0.819]
		common*	20.3	28.3	0.436	0.195	[0.054, 0.819]
		entire	20.3	28.2	0.431	0.191	[0.056, 0.806]
	IPTW	outcome	21.2	28.8	0.406	0.195	[0.023, 0.789]
		treatment*	20.3	28.2	0.433	0.191	[0.059, 0.808]
		common*	20.3	28.2	0.433	0.191	[0.059, 0.808]
		entire	21.3	28.9	0.406	0.196	[0.022, 0.791]
	TMLE	outcome	21.2	28.8	0.407	0.195	[0.025, 0.790]
		treatment*	20.3	28.2	0.433	0.190	[0.061, 0.806]
		common*	20.3	28.2	0.433	0.190	[0.061, 0.806]
		entire	21.1	28.9	0.410	0.196	[0.026, 0.794]
	FM	outcome	19.1	29.0	0.549	0.189	[0.178, 0.921]
		treatment*	19.9	30.6	0.575	0.187	[0.210, 0.941]
		common*	19.9	30.6	0.575	0.187	[0.210, 0.941]
		entire	21.1	31.9	0.561	0.183	[0.201, 0.920]
B - ICU	GC	outcome	66.3	81.1	0.778	0.294	[0.201, 1.354]
		treatment	65.3	81.1	0.824	0.298	[0.240, 1.407]
		common	65.0	81.1	0.836	0.289	[0.270, 1.402]
		entire	66.5	81.1	0.769	0.295	[0.191, 1.347]
	IPTW	outcome	31.0	81.1	0.656	0.356	[−0.042, 1.354]
		treatment	68.2	81.1	0.693	0.355	[−0.002, 1.388]
		common	67.4	81.1	0.729	0.353	[0.038, 1.421]
		entire	69.2	81.1	0.645	0.362	[−0.064, 1.354]
	TMLE	outcome	66.2	79.6	0.692	0.293	[0.118, 1.266]
		treatment	65.4	80.2	0.758	0.288	[0.194, 1.322]
		common	64.8	79.9	0.769	0.298	[0.185, 1.354]
		entire	66.4	79.4	0.668	0.285	[0.109, 1.228]
	FM	outcome	73.8	81.1	0.419	0.342	[−0.252, 1.090]
		treatment	67.2	81.1	0.739	0.337	[0.078, 1.399]
		common	65.1	81.1	0.831	0.336	[0.173, 1.490]
		entire	66.2	81.1	0.782	0.336	[0.123, 1.442]

*Treatment and common sets contain same covariates. π₀: Percentage of event in the Natalizumab (or control) group, π₁: Percentage of event in the Fingolimod (or Barbiturates) group, SE: standard error.

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