A statistical assessment of differences and equivalences between genetically modified and reference plant varieties

Table 1 Simulation results for various choices of true GMO mean M_G and true counterpart mean M_C.

M_G	M_C	power test D	power test E1	power test E2	power test E3
~ N(M_R, V_g)	~ N(M_R, V_g)	0.8289	0.9485	0.7603	0.0076
~ N(M_R, V_g)	= M_R (= 0)	0.7587	0.9481	0.7668	0.0091
~ N(M_R, V_g)	= M_G	0.1024	0.9496	0.7704	0.0076
M_R+LSD(GR;2;95)	~ N(M_R, V_g)	0.9724	0.4957	0.0524	0.0523
M_R+LSD(GR;2;95)	= M_R (= 0)	1.0000	0.4964	0.0551	0.0537
M_R+LSD(GR;2;95)	= M_G	0.1006	0.4954	0.0514	0.0509

True reference mean M_R = 0 in all cases. "~ N(M_R, V_g)" refers to a random draw from a normal distribution with the specified mean and variance. LSD(GR;2;95) refers to the theoretical least significant difference calculated using equation 3 with theoretical variances and infinite degrees of freedom. Number of iterations was 10,000. Values in bold can be compared to theoretical values (0.1, 0.95, 0.5 or 0.05).

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