Table 5.

Analysis of the case-control study on prostate cancer, containing n₁ = 690 cases and n₀ = 717 controls. Two approaches were implemented, (1) “Logistic” is ordinary logistic regression, and (2) “Semi” is our semiparametric efficient estimator. Displayed are the estimates, bootstrap standard error (“se, bootstrap”), mean estimated asymptotic standard error (“est se, asymptotic”), bootstrap p-value (“ p-value, bootstrap”), and asymptotic p-value (“ p-value, asymptotic”) of the coefficients for the standardized polygenic risk score (G), [25(OH)D] level (X), and the interaction between them (GX).

		βG	βX	βGX
Logistic	Estimates	0.169	0.123	−0.101
	se, bootstrap	0.056	0.056	0.054
	est se, asymptotic	0.055	0.055	0.055
	p-value, bootstrap	0.002	0.028	0.064
	p-value, asymptotic	0.002	0.024	0.066
Semi	Estimates	0.168	0.124	−0.110
	se, bootstrap	0.056	0.056	0.049
	est se, asymptotic	0.055	0.054	0.042
	p-value, bootstrap	0.003	0.027	0.026
	p-value, asymptotic	0.002	0.021	0.009