Table 4 Effect of the number of seeds per maternal plant on results of ETL mapping in random hybridization design of F₂ plants (200 replicates)

No. of seeds per plant	Statistic	b₀	σ²	ETL ₁				ETL ₂			ETL ₃		ETL ₂ × ETL ₃			False-positive rate (%)
				a₁	d₁₁	d₁₂	Posi.	a₂	d₂₁	Posi.	a₃	Posi.		Posi.	Posi.	a	d	i_aa	i_ad	i_dd
True value		100.000	—	2.000	5.200	−5.200	60.00	3.000	3.000	60.00	1.000	60.00	1.500	60.00	60.00
1	Mean	100.740	67.579	2.292	7.604	−7.397	59.51	3.049	6.486	59.14	1.551	56.52	2.300	60.77	60.77	0.11	0.00	0.12	0.00	0.00
	s.d.	1.745	6.736	0.708	2.111	1.927	4.06	0.707	1.441	5.41	0.310	11.52	0.446	19.98	19.17
	Power			0.785	0.455	0.490		0.980	0.010		0.115		0.130
3	Mean	100.712	22.778	1.908	5.227	−5.510	59.87	3.149	3.922	59.91	1.106	58.65	1.558	58.22	59.04	0.33	0.00	0.11	0.00	0.00
	s.d.	0.937	2.118	0.405	1.481	1.404	1.10	0.357	0.693	0.64	0.327	13.78	0.398	11.37	11.22
	Power			0.995	0.925	0.935		1.000	0.115		0.370		0.415
5	Mean	100.410	13.429	1.943	5.185	−4.919	59.95	3.141	3.335	59.83	0.991	57.27	1.423	58.43	58.32	0.11	0.05	0.11	0.00	0.00
	s.d.	0.666	1.194	0.313	1.059	1.055	0.50	0.306	0.569	1.23	0.279	10.71	0.325	9.04	7.64
	Power			1.000	0.995	0.990		1.000	0.325		0.660		0.765
10	Mean	100.273	6.655	1.951	5.094	−5.176	60.00	3.057	2.965	59.87	0.950	59.44	1.416	59.14	59.25	0.14	0.05	0.10	0.00	0.00
	s.d.	0.480	0.611	0.208	0.735	0.762	0.17	0.259	0.532	1.04	0.214	5.89	0.267	5.80	5.49
	Power			1.000	1.000	1.000		1.000	0.710		0.950		0.975
20	Mean	100.075	3.244	1.991	5.149	−5.157	60.00	3.010	2.843	59.74	0.949	59.67	1.459	59.87	59.81	0.08	0.06	0.08	0.00	0.00
	s.d.	0.299	0.330	0.144	0.447	0.431	0.12	0.147	0.442	1.86	0.151	2.47	0.178	1.75	2.96
	Power			1.000	1.000	1.000		1.000	0.955		0.995		0.995

Abbreviations: a, additive effect; d, dominant effect; ETL, endosperm trait locus; i, interaction effect; Posi., ETL position (cM); s.d., standard deviation.

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