Table 5.

Type 1 error rates for tests of epistasis (Additive main effect pattern, Eq. 2)

Test	Error distribution	LD	α = 0.05	α = 0.01	α = 0.001
Additive only model (4)—1 df (Y)	Normal	0	0.04832	0.00936	0.00100
Cockerham model (5)—4 df (Y)	Normal	0	0.04880	0.00976	0.00098
Additive only model (4)—1 df (Blom)	Normal	0	0.02864	0.00454	0.00038
Cockerham model (5)—4 df (Blom)	Normal	0	0.03532	0.00632	0.00074
Additive only model (4)—1 df (Y)	LaPlace	0	0.04982	0.01018	0.00100
Cockerham model (5)—4 df (Y)	LaPlace	0	0.05116	0.01100	0.00124
Additive only model (4)—1 df (Blom)	LaPlace	0	0.03536	0.00544	0.00044
Cockerham model (5)—4 df (Blom)	LaPlace	0	0.03970	0.00758	0.00076
Additive only model (4)—1 df (Y)	${\chi }_{\left(1\right)}^2$	0	0.05114	0.01026	0.00108
Cockerham model (5)—4 df (Y)	${\chi }_{\left(1\right)}^2$	0	0.05132	0.01248	0.00194
Additive only model (4)—1 df (Blom)	${\chi }_{\left(1\right)}^2$	0	0.19156¥	0.06888¥	0.01274¥
Cockerham model (5)—4 df (Blom)	${\chi }_{\left(1\right)}^2$	0	0.11214¥	0.03144¥	0.00476¥
Additive only model (4)—1 df (Y)	Weibull (1, 0.5)	0	0.05502	0.01198	0.00136
Cockerham model (5)—4 df (Y)	Weibull (1, 0.5)	0	0.05376	0.01426	0.00270
Additive only model (4)—1 df (Blom)	Weibull (1, 0.5)	0	0.20128¥	0.07208¥	0.01546¥
Cockerham model (5)—4 df (Blom)	Weibull (1, 0.5)	0	0.10312¥	0.02878¥	0.00554¥
Additive only model (4)—1 df (Y)	Normal	0.3	0.05034	0.01052	0.00098
Cockerham model (5)—4 df (Y)	Normal	0.3	0.05158	0.01034	0.00106
Additive only model (4)—1 df (Blom)	Normal	0.3	0.03740	0.00636	0.00034
Cockerham model (5)—4 df (Blom)	Normal	0.3	0.03492	0.00596	0.00050
Additive only model (4)—1 df (Y)	LaPlace	0.3	0.05000	0.01040	0.00108
Cockerham model (5)—4 df (Y)	LaPlace	0.3	0.05238	0.01220	0.00198
Additive only model (4)—1 df (Blom)	LaPlace	0.3	0.04008	0.00720	0.00070
Cockerham model (5)—4 df (Blom)	LaPlace	0.3	0.03564	0.00676	0.00108
Additive only model (4)—1 df (Y)	${\chi }_{\left(1\right)}^2$	0.3	0.04994	0.00980	0.00118
Cockerham model (5)—4 df (Y)	${\chi }_{\left(1\right)}^2$	0.3	0.05576¥	0.01684¥	0.00428¥
Additive only model (4)—1 df (Blom)	${\chi }_{\left(1\right)}^2$	0.3	0.15634¥	0.05010¥	0.00858¥
Cockerham model (5)—4 df (Blom)	${\chi }_{\left(1\right)}^2$	0.3	0.12646¥	0.03384¥	0.00618¥
Additive only model (4)—1 df (Y)	Weibull (1, 0.5)	0.3	0.05292	0.01158	0.00094
Cockerham model (5)—4 df (Y)	Weibull (1, 0.5)	0.3	0.06164¥	0.02498¥	0.00992¥
Additive only model (4)—1 df (Blom)	Weibull (1, 0.5)	0.3	0.16540¥	0.05860¥	0.01208¥
Cockerham model (5)—4 df (Blom)	Weibull (1, 0.5)	0.3	0.11816¥	0.03416¥	0.00702¥

Note: 100,000 simulations

N = 200, P₁ = 0.50, P₂ = 0.50

^¥Demonstrated significantly inflated Type 1 error rate