Table 4. Estimated outbreeding effects for size at age of fork length (Ln of centimeters) and SGR of fork length (% °D^-1).

Effect	Mean ± SE	d.d.f. (d.f.)	F1/d.d.f. (${\mathit{\chi }}_{\text{d.f.}}^2$)	P	Lack-of-fit
Immature
$\widehat{\mu }$ (size)	3.509 ± 0.009 (3.508 ± 0.005)	—	—	—	F1/180.4 = 0.4, P = 0.552 (${\chi }_1^2$ = 0.3 P = 0.591)
$\widehat{d}$ (size)	−0.121 ± 0.007 (−0.119 ± 0.004)	96.6 (1)	267 (244)	<0.001 <0.001
$\widehat{h}$ (size)	−0.047 ± 0.014 (−0.046 ± 0.008)	190.9 (1)	11.2 (10.4)	0.001 0.001
$\widehat{i}$ (size)	−0.072 ± 0.022 (−0.073 ± 0.012)	233.2 (1)	10.8 (10.4)	0.001 0.001
$\widehat{\mu }$ (SGR)	0.0211 ± 0.0002 (0.0211 ± 0.0002)	—	—	—	F2/152.2 = 0.9, P = 0.426 (${\chi }_2^2$ = 1.9 P = 0.382)
$\widehat{d}$ (SGR)	−0.0041 ± 0.0004 (−0.0042 ± 0.0004)	181.8 (1)	98.2 (107)	<0.001 (<0.001)
$\widehat{h}$ (SGR)	−0.0011 ± 0.0003 (−0.0011 ± 0.0003)	184.2 (1)	12.1 (14.1)	0.001 (0.001)
Female
$\widehat{\mu }$ (size)	3.602 ± 0.014 (3.602 ± 0.009)	—	—	—	F2/83.6 = 0.3, P = 0.698 (${\chi }_2^2$ = 0.7 P = 0.696)
$\widehat{d}$ (size)	−0.126 ± 0.008 (−0.126 ± 0.005)	57.4 (1)	231 (227)	<0.001 (<0.001)
$\widehat{l}$ (size)	−0.051 ± 0.016 (−0.051 ± 0.010)	113.3 (1)	10.4 (10.2)	0.002 (0.001)
$\widehat{\mu }$ (SGR)	0.00950 ± 0.00068 (0.01018 ± 0.00045)	—	—	—	F3/80.8 = 2.0, P = 0.124 (${\chi }_3^2$ = 4.9 P = 0.178)
$\widehat{d}$ (SGR)	−0.00224 ± 0.00044 (−0.00248 ± 0.00066)	126.3 (1)	25.3 (24.3)	<0.001 (<0.001)
Male
$\widehat{\mu }$ (size)	3.495 ± 0.007 (3.495 ± 0.010)	—	—	—	F3/106.1 = 2.3, P = 0.089 (${\chi }_3^2$ = 6.5 P = 0.090)
$\widehat{d}$ (size)	−0.116 ± 0.008	162.8 (1)	215 (201)	<0.001 (<0.001)
	−0.116 ± 0.012
$\widehat{\mu }$ (SGR)	0.01172 ± 0.00024 (0.01168 ± 0.00019)	—	—	—	F3/113.5 = 0.8, P = 0.520 (${\chi }_3^2$ = 2.3 P = 0.512)
$\widehat{d}$ (SGR)	−0.00243 ± 0.00030 (-0.00243 ± 0.00026)	146.9 (1)	68.0 (67)	<0.001 (<0.001)

The effects are predicted F2 cross mean ($\widehat{\mu }$), and additive ($\widehat{d}$), dominant ($\widehat{h}$), additive-by-additive ($\widehat{i}$), additive-by-dominant ($\widehat{j}$), and dominant-by-dominant ($\widehat{l}$) outbreeding effects. Given are Effects with standard errors (SE), and probabilities (P) for being different from zero, for immature, female, or male S. salar. Estimates from the LMM approach are given with respective denominator degrees of freedom (d.d.f.) and F-statistic; estimates from the WLS approach (values in parenthesis) are given with respective degrees of freedom (d.f.) and ${\chi }^2$ statistic.