Table 6.

Model Characteristics for Proximal and Distal Pre-Algebra Outcomes

Parameter	Proximal					Distal
	Estimate	(S.E.)	df	t/z/F	95% CI	Estimate	(S.E.)	df	t/z/F	95% CI
Unconditional Model
Fixed: Intercept (γ000)	0.01	(0.06)	92.3	0.16	−0.10 to 0.12	−0.04	(0.06)	20.6	−0.67	−0.18 to 0.09
Random: Teacher ( ${\sigma }_{u0}^2$)	0.17	(0.04)		3.88c	0.11 to 0.30	0.09	(0.05)		1.61	0.03 to 0.49
School ( ${\sigma }_{v0}^2$)			N/A			0.01	(0.02)		0.21	0.00 to 7.30
Residual ( ${\sigma }_e^2$)	0.29	(0.03)		9.30c	0.24 to 0.37	0.67	(0.07)		9.71c	0.55 to 0.82
Model Fit:	Dev = 511.3; Param = 2; BIC = 520.4					Dev = 673.9; Param = 3; BIC = 683.6
Full/Final Model
Fixed: Intercept (γ000)	−0.30	(0.09)	98.8	−3.40c	−0.47 to −0.12	−1.10	(0.41)	239	−2.72b	−1.90 to −0.30
Word-Problem Pretest	0.24	(0.06)	247	3.99c	0.12 to 0.36	0.48	(0.10)	247	5.04c	0.29 to 0.67
WRAT-3 Pretest			N/A			0.01	(0.00)	246	2.50a	0.00 to 0.02
Spec. Ed. (Receive)	−0.31	(0.11)	247	−2.78b	−0.53 to −0.09	−0.46	(0.16)	247	−2.81b	−0.79 to −0.14
Treatment (CAL)	0.02	(0.09)	80.5	0.25	−0.16 to 0.20	0.10	(0.13)	69.5	0.73	−0.17 to 0.36
Treatment (WP)	0.83	(0.09)	86.1	8.98c	0.65 to 1.02	0.32	(0.13)	72.4	2.47a	0.06 to 0.59
Cohort (1)	0.06	(0.10)	111	0.56	−0.14 to 0.26	−0.23	(0.16)	44.2	−1.47	−0.55 to 0.09
Cohort (2)	−0.06	(0.11)	123	−0.53	−0.27 to 0.16	0.14	(0.17)	49.6	0.85	−0.20 to 0.48
Cohort (3)	0.08	(0.10)	126	0.79	−0.12 to 0.27	0.05	(0.16)	37.6	0.32	−0.27 to 0.37
Random: Teacher ( ${\sigma }_{u0}^2$)	0.02	(0.02)		1.11	0.01 to 0.40	0.03	(0.04)		0.79	0.01 to 8.30
School ( ${\sigma }_{v0}^2$)			N/A			0.02	(0.02)		0.77	0.00 to 5.36
Residual ( ${\sigma }_e^2$)	0.26	(0.03)		9.61c	0.21 to 0.32	0.53	(0.06)		9.47c	0.43 to 0.66
Model Fit:	Dev = 412.6; Param = 2; BIC = 421.7					Dev = 600.8; Param = 3; BIC = 610.5

Note. See note for Table 3. The code 0 is for the treatment control group, for no free/reduced lunch, for no special education, and for Cohort 4.