Table 4.

Output for the polynomial hierarchical linear models.

	Model 4		Model 5		Model 6		Model 7
	Parameter	S.E.	Parameter	S.E.	Parameter	S.E.	Parameter	S.E.
γ00 = Intercept	7.26***	0.30	7.26***	0.32	8.64***	0.60	8.69***	0.57
γ10 = Coefficient of d	−0.09	0.10	−0.09	0.12	−0.47*	0.21	−0.51***	0.14
γ20 = Coefficient of d2	−0.05***	0.01	−0.05***	0.01	−0.06**	0.02	−0.05***	0.01
γ01 = Coefficient of u					−0.28**	0.11	−0.29**	0.10
γ11 = Coefficient of d:u					0.08*	0.04	0.09***	0.02
γ21 = Coefficient of u:d2					0.00	0.00
AIC	2076.96		2076.73		2066.84		2064.90
BIC	2106.73		2119.27		2109.37		2103.18
Deviance	2063.0		2056.7		2046.8		2046.9
Residual df	513		510		510		511
Number of level-1 observation	520		520		520		520
Number of level-2 clusters	52		52		52		52
τ20 = var(U0i)	3.40		3.90		2.82		2.82
τ21 = var(U1i)	0.19		0.41		0.14		0.14
τ22 = var(U2i)			0.00
σ2e = Var(ϵij)	2.24		2.07		2.24		2.24

^***p < 0.001,

^**p < 0.01,

^*p < 0.05;

d, dimension; u, individual differences variable; U_0i, random intercept effect; U_1i, random slope effect of dimension; U_2i, random slope effect of quadratic dimension; ϵ_ij, level-1 residuals.