. Author manuscript; available in PMC: 2021 Jul 14.

Published in final edited form as: Multivariate Behav Res. 2016 Dec 16;52(2):178–199. doi: 10.1080/00273171.2016.1259980

Table 6.

Parameter Estimates and Fit Statistics in the Fitted ALT models for the Square Root of Family Income from 1986 to 1994 (N=3995)

Model	Unconditional ALT				Conditoinal ALT
	Model 1	Model 2	Model 3	Model 4	Model 5	Model 6	Model 7	Model 8
Label	Prelnv	OngInv	HIInv	PreVry	HIVry	PreCVry	OngCInv	HICVry
Parameter	Estimates/Standard Errors
γ_y,minority						−0.67/0.06
γ_α,minority						−0.58/0.07	−0.54/0.04	−0.69/0.05
γ_β,minority						−0.12/0.03	−0.10/0.01	−0.04/0.02
γ_A,minority							−0.68/0.05
γ_B,minority							−0.12/0.02
μ₁	4.66/0.03			4.66/0.03		4.93/0.04
μ_α	3.95/0.08	3.61/0.08	4.60/0.03	3.92/0.22	4.64/0.03	4.14/0.23	3.83/0.08	4.92/0.04
μ_β	0.32/0.01	0.29/0.01	0.34/0.01	0.39/0.12	−0.11/0.05	0.44/0.12	0.33/0.01	−0.09^*/0.06
$σ_{ζ_{α}}^{2}$	1.74/0.13	0.86/0.07	1.82/0.06	1.69/0.19	1.50/0.07	1.59/0.18	0.80/0.07	1.39/0.07
$σ_{ζ_{β}}^{2}$	0.16/0.01	0.08/0.01	0.17/0.01	0.15/0.02	0.06/0.01	0.15/0.02	0.07/0.01	0.06/0.01
σ_α,β	−0.13/0.03	0.07/0.01	−0.04/0.02	−0.09/0.04	−0.06/0.02	−0.10/0.04	0.05/0.01	−0.06/0.02
σ_1,α	1.16/0.08			1.19/0.13		1.09/0.12
σ_1,β	0.08/0.02			0.09^*/0.05	0	0.07^*/0.05
ρ	0.17/0.02	0.24/0.02	0.04/0.01				0.24/0.02
ρ_2,1				0.15/0.03	0.10/0.01	0.15/0.03		0.10/0.01
ρ_3,2				0.17/0.02	0.22/0.02	0.17/0.02		0.22/0.02
ρ_4,3				0.12/0.03	0.26/0.03	0.12/0.03		0.25/0.03
ρ_5,4				0.13/0.05	0.34/0.04	0.12/0.05		0.34/0.04
$σ_{ϵ}^{2}$	1.33/0.03	1.59/0.03	1.38/0.02				1.59/0.03
$σ_{ϵ_{1}}^{2}$	3.31/0.07	1.69/0.04		3.31/0.07	1.94/0.07	3.20/0.07	1.69/0.04	1.93/0.07
$σ_{ϵ_{2}}^{2}$				1.25/0.07	1.46/0.05	1.25/0.07		1.47/0.05
$σ_{ϵ_{3}}^{2}$				1.44/0.05	1.61/0.05	1.44/0.05		1.60/0.05
$σ_{ϵ_{4}}^{2}$				0.99/0.07	1.25/0.06	0.99/0.07		1.24/0.06
$σ_{ϵ_{5}}^{2}$				1.68/0.07	1.88/0.07	1.68/0.07		1.88/0.07
Fit Indices
χ²/df	177.91/9	307.11/13	489.95/13	11.35/3	57.69/6	11.60/5	310.12/16	59.40/9
CFI	.98	.97	.96	1.00	1.00	1.00	.97	1.00
RMSEA	0.07	0.08	0.10	0.03	0.05	0.02	0.07	0.04
SRMR	0.05	0.06	0.06	0.01	0.04	0.01	0.06	0.03
AIC	74523.57	74644.77	74827.61	74369.01	74409.345	74061.90	74338.42	74101.70
BIC	74592.79	74688.82	74871.66	74475.99	74497.445	74187.76	74395.05	74202.39
SABIC	74557.84	74666.58	74849.42	74421.97	74452.959	74124.21	74366.46	74151.55
Δχ²/Δdf		129.20^a/4^a	312.04^a/4^a	166.56^a/6^a	46.34^b/3^b		298.52^c/11^c	47.80^c/4^c
F-value		32.30	78.01	27.76	15.45		27.14	11.95

Models and their labels are summarized in Table 5. The underlined parameter estimates are implied by other parameter estimates.

The absolute difference between the model and Model 1.

The absolute difference between the model and Model 4.

The absolute difference between the model and Model 6.

p > .05.