Functional mapping of reaction norms to multiple environmental signals through nonparametric covariance estimation

Table 3 Averaged QTL position, mean curve parameters, log-likelihood values, maximum log-likelihood ratios (maxLR), entropy and quadratic losses and their standard errors (given in parentheses) for two QTL genotypes in a backcross population based on 100 simulation replicates (C₁ with n = 400 and σ² = 2, 4).

		QTL	QTL genotype 1			QTL genotype 2			log-likelihood
Covariance	σ ²	Location	${\hat{α}}_{1}$	${\hat{P}}_{m 1} (20)$	${\hat{θ}}_{1}$	${\hat{α}}_{2}$	${\hat{P}}_{m 2} (20)$	${\hat{θ}}_{2}$	H ₀	H ₁	max LR	L _E	L _Q
Σ_AR(1)	2	72.40	0.02	2.05	0.89	0.01	1.52	0.87	-5437	-5373	128.51	19.45	684.37
		(0.44)	(0.00)	(0.01)	(0.01)	(0.00)	(0.02)	(0.01)	(7.36)	(7.31)	(2.45)	(0.05)	(4.44)
	4	74.20	0.02	2.11	0.88	0.01	1.52	0.84	-8175	-8141	65.55	19.44	683.82
		(0.69)	(0.00)	(0.02)	(0.01)	(0.00)	(0.03)	(0.02)	(7.32)	(7.31)	(1.80)	(0.05)	(4.46)
C ₁	2	71.96	0.02	2.01	0.90	0.01	1.54	0.88	-4088	-4021	133.41	0.01	0.13
		(0.29)	(0.00)	(0.01)	(0.00)	(0.00)	(0.02)	(0.01)	(7.17)	(7.16)	(2.15)	(0.00)	(0.02)
	4	71.96	0.02	2.03	0.89	0.01	1.57	0.86	-6822	-6788	69.07	0.01	0.13
		(0.44)	(0.00)	(0.01)	(0.01)	(0.00)	(0.03)	(0.02)	(7.16)	(7.16)	(1.57)	(0.00)	(0.02)
N P	2	72.16	0.02	2.01	0.89	0.01	1.54	0.87	-3967	-3912	109.79	0.53	1.05
		(0.29)	(0.00)	(0.01)	(0.00)	(0.00)	(0.02)	(0.01)	(6.87)	(6.89)	(1.66)	(0.00)	(0.01)
	4	71.64	0.02	2.01	0.89	0.01	1.57	0.84	-6713	-6684	59.92	0.53	1.04
		(0.49)	(0.00)	(0.01)	(0.01)	(0.00)	(0.03)	(0.02)	(6.89)	(6.93)	(1.27)	(0.00)	(0.01)
	True:	72.00	0.02	2.00	0.90	0.01	1.50	0.90

ISSN: 1471-2229