Table 5.

Comparison of design performance using three alternative generalised continuation ratio models for (4,4) dimensional bivariate ordinal outcomes. Scenarios 11 and 12 have no acceptable dose, so R_select values are less relevant and thus have a gray background.

	Scenario
	1	2	3	4	5	6	7	8	9	10	11	12
Parametric Dose Standardisation (PDS)
Rselect	76	77	80	78	78	78	81	78	80	89	93	94
Rtreat	65	63	61	72	70	67	70	70	65	85	79	67
% None	2	2	1	0	1	7	1	1	0	0	95	96
% Best	32	28	32	46	39	34	39	33	48	44	–	–
# Pats	59.4	59.4	59.6	59.9	59.8	57.9	59.7	59.8	59.9	59.9	26.5	27.7
# Eff	36.9	27.1	29.3	29.4	30.2	24.1	29.8	30.0	31.9	31.9	13.2	5.0
# Tox	28.6	25.2	23.6	19.2	22.9	20.8	22.1	22.1	19.8	22.6	18.1	7.7
Generalised Aranda-Ordaz Model (GAO)
Rselect	82	72	86	69	65	72	88	72	74	87	93	95
Rtreat	71	65	63	68	65	63	75	68	57	82	79	66
% None	2	3	1	0	1	6	1	1	1	0	94	94
% Best	49	25	64	31	8	19	67	22	47	54	–	–
# Pats	59.5	59.3	59.7	60.0	59.8	58.4	59.7	59.7	59.8	59.9	27.1	32.2
# Eff	36.2	25.8	28.1	27.9	28.3	23.3	29.2	28.7	30.9	30.5	13.5	5.7
# Tox	25.7	22.9	21.2	17.6	22.1	20.6	19.7	20.8	19.0	20.9	18.5	8.9
Conventional Multiplicative Interaction (CMI)
Rselect	83	66	85	66	62	69	87	68	86	92	95	97
Rtreat	69	60	61	67	62	64	73	68	65	85	80	68
% None	1	3	1	0	1	6	1	1	1	0	91	95
% Best	56	14	62	20	2	9	65	11	68	50	–	–
# Pats	59.7	59.3	59.7	59.9	59.7	58.3	59.7	59.7	59.8	60.0	29.3	29.0
# Eff	36.8	26.0	28.8	29.4	28.9	24.0	29.9	29.9	31.9	32.2	14.6	5.3
# Tox	26.9	24.8	23.1	19.6	24.2	21.6	22.0	23.0	19.7	22.9	19.9	8.1