Using Bonferroni, BIC and AIC to assess evidence for alternative biological pathways: covariate selection for the multilevel Embryo-Uterus model

Table 7 Significance tests for the motivating dataset

	P-values
Variable	E	U	E + U
Number of embryos transferred	0.10	0.24	0.088
Age group	<0.001	<0.001	<0.001
Number of embryos created	<0.001	<0.001	0.001
IVF Attempt number	0.016	0.003	0.024
ICSI	0.22	0.53	0.45
Pregnancy History	0.035	0.002	0.019
Duration infertile	0.033	0.001	0.008
Tubal diagnosis	0.001	<0.001	<0.001
PCO diagnosis	1.00	1.00	0.95
Endometriosis	0.17	0.074	0.20
Idiopathic diagnosis	0.66	0.53	0.45
Male diagnosis	0.24	0.40	0.50
Donor sperm	1.000	0.27	0.24
Transfer day	0.024	0.052	0.048
Treatment Year	0.003	0.001	<0.001
Treatment Centre	0.001	0.002	<0.001

P-values from formal hypothesis tests for adding each variable to the model in either the E, U or both (E + U) sub-models. Tests are 1 or 2 degree of freedom likelihood ratio tests. Highlighted values indicate the selected final model. See Table 6 for more information on the variables.

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