Table 2.

Empirical rejection probabilities for the weighted log-rank tests based on multinomial logistic regression and decision tree propensity methods. The decision tree method, we also report average number of strata (D) after the first classification (I), after pooling the strata with similar allocation proportions (I+II), after discarding the strata with no frequency in any of the three treatment groups (I+III), and pooling the strata with similar allocation proportions and discarding the strata with no frequency in any of the three treatment groups (I+II+III).(a) When K = 3

Allocation	Censoring	Multinomial		Tree (I)			Tree (I+II)			Tree (I+III)			Tree (I+II+III)
		ANO	Dun	ANO	Dun	D	ANO	Dun	D	ANO	Dun	D	ANO	Dun	D
(i) Undet H0 : β1=β2=β3
A1	19.6%	0.034	0.034	0.039	0.039	4.1	0.039	0.040	3.5	0.039	0.039	3.8	0.039	0.039	3.2
A2	19.6%	0.098	0.109	0.664	0.680	4.2	0.665	0.679	3.8	0.047	0.044	3.0	0.047	0.045	2.6
A3	17.4%	0.798	0.834	0.083	0.085	11.7	0.083	0.085	8.0	0.060	0.063	10.3	0.059	0.064	7.0
(ii) Undet H1 : β1=β2<β3
A1	26.6%	0.962	0.971	0.942	0.955	4.1	0.940	0.955	3.5	0.942	0.955	3.8	0.941	0.955	3.2
A2	24.4%	0.998	0.998	1.000	1.000	4.2	1.000	1.000	3.8	0.921	0.936	2.9	0.920	0.935	2.6
A3	23.4%	1.000	1.000	0.854	0.866	11.7	0.853	0.864	8.0	0.847	0.871	10.3	0.846	0.870	7.0
(iii) Undet H2 : β1<β2<β3
A1	24.6%	0.900	0.912	0.871	0.884	4.1	0.869	0.883	3.5	0.972	0.884	3.8	0.870	0.883	3.2
A2	21.8%	0.999	0.999	1.000	1.000	4.2	1.000	1.000	3.8	0.964	0.973	3.0	0.964	0.972	2.6
A3	21.2%	1.000	1.000	0.897	0.839	11.7	0.898	0.839	8.1	0.891	0.842	10.3	0.892	0.844	7.0