A non-linear beta-binomial regression model for mapping EORTC QLQ- C30 to the EQ-5D-3L in lung cancer patients: a comparison with existing approaches

Khan, Iftekhar; Morris, Stephen

doi:10.1186/s12955-014-0163-7

Table 2 Summary of model fit statistics

From: A non-linear beta-binomial regression model for mapping EORTC QLQ- C30 to the EQ-5D-3L in lung cancer patients: a comparison with existing approaches

*QLQ-C30*	*Linear Mixed*		*TOBIT*		*Quadratic*		*Quantile*		*CLAD*		*Beta*
*QLQ-C30*	*TOPICAL*	*SOCCAR*	*TOPICAL*	*SOCCAR*	*TOPICAL*	*SOCCAR*	*TOPICAL*	*SOCCAR*	*TOPICAL*	*SOCCAR*	*TOPICAL*	*SOCCAR*
R ²	0.63	0.64	0.65	0.63	0.64	0.62	0.66	0.62	0.55	0.53	0.75	0.71
MAE	0.14	0.14	0.13	0.10	0.16	0.129	0.13	0.09	0.14	0.71	0.10	0.13
RMSE	0.183	0.141	0.17	0.14	0.18	0.14	0.17	0.14	0.18	0.15	0.09	0.11
Predicted mean (SE)*	0.584 (0.0047)	0.771 (0.0058)	0.631 (0.0057)	0.771 (0.0068)	0.635 (0.0074)	0.774 (0.0057)	0.633 (0.0054)	0.766 (0.0062)	0.593 (0.0059)	0.782 (0.0058)	0.608(0.0040)	0.749 (0.0049)
Predicted >1 (%)	0.11%	1.04%	0	0	0	1%	2.8%	3.5%	0	0	0	0
Predicted <0 (%)	0	0	0	0	5%	2%	0.6%	0.4%	0	0	0	0
AIC (lower is better)	−1015	−782	−936.9	−593	−978.6	−782	−864	−587	−926	−601	−2215	−1529
SE of coefficients
PF	0.000264	0.000335	0.000288	0.000413	0.000686	0.000766	0.002805	0.000513	0.000295	0.000555	0.000190	0.000293
RF	0.000213	0.000231	0.000231	0.000285	0.000710	0.000635	0.000322	0.000267	0.000422	0.000287	0.000106	0.000220
EF	0.000214	0.000250	0.000233	0.000307	0.000532	0.000289	0.000312	0.000333	0.000392	0.000411	0.000289	0.000216
SF	0.000195	0.000203	0.000210	0.000249			0.000316	0.000263	0.000419	0.000313	0.000149	0.000204
CF	0.000207	0.000231	0.000225	0.000288			0.000244	0.000328	0.000447	0.000348	0.000163	0.000211
FA	0.000257	0.000296	0.000279	0.000373			0.000204	0.000373	0.000305	0.000391	0.000224	0.000251
NV	0.000234	0.000217	0.000255	0.000274			0.000255	0.000310	0.000255	0.000430	0.000258	0.000204
PA	0.000168	0.000203	0.000182	0.000250	0.000165	0.000200	0.000329	0.000410	0.000329	0.000460	0.000128	0.000211
DY	0.000154	0.000161	0.000168	0.000199			0.000201	0.000209	0.000201	0.000277	0.000159	0.000116
SL	0.000144	0.000165	0.000156	0.000203	0.000379	0.000277	0.000241	0.000211	0.000295	0.000291	0.000136	0.000149
AP	0.000138	0.000170	0.000150	0.000208			0.000242	0.000221	0.000292	0.000221	0.000129	0.000169
CO	0.000153	0.000158	0.000166	0.000196	0.000151	0.000155	0.000206	0.000207	0.000311	0.000283	0.000149	0.000206
DI	0.000152	0.000218	0.000165	0.000291	0.000405	0.000393	0.000219	0.000426	0.000213	0.000396	0.000133	0.000191
QL	0.000240	0.000294	0.000263	0.000372			0.000363	0.000210	0.000299	0.000260	0.000201	0.000241
FI	0.000204	0.000143	0.000224	0.000182			0.000101	0.000100	0.000209	0.000210	0.000243	0.000182

MAE: Mean Absolute Error; RMSE: Residual Mean Squared Error; SE: Standard Error.
*Observed post baseline Mean (SD) for TOPICAL was 0.61 (0.29) and for SOCCAR was 0.75 (0.23).

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ISSN: 1477-7525

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