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. Author manuscript; available in PMC: 2015 Aug 1.
Published in final edited form as: J Consult Clin Psychol. 2014 Mar 24;82(4):659–669. doi: 10.1037/a0036376

Table 1.

Parameter estimates and inferential statistics for the growth models

Model: BMI 1 Estimate S.E. Est./S.E. P-Value
Covariances
 Slope 1 with Intercept −0.38 0.12 −3.21 0.001
 Slope 2 with Intercept 0.04 0.06 0.70 0.48
 Slope 1 with Slope 2 0.02 0.006 2.98 0.003
Means
 Intercept 34.92 0.30 115.49 <0.001
 Slope 1 −0.65 0.03 −24.57 <0.001
 Slope 2 0.04 0.01 2.90 0.004
Variances
 Intercept 18.05 1.45 12.44 <0.001
 Slope 1 0.11 0.02 6.21 <0.001
 Slope 2 0.02 0.006 3.66 <0.001
Residual Variances
 BMI 0, 6, 12, and 18 0.60 0.08 7.90 <0.001

Model: BMI 2 Estimate S.E. Est./S.E. P-Value

Covariances
 Slope 1 with Intercept −0.48 0.14 −3.45 0.001
 Slope 2 with Intercept 0.04 0.06 0.71 0.48
 Slope 1 with Slope 2 0.01 0.01 0.63 0.53
Means
 Intercept 34.92 0.30 115.49 <0.001
 Slope 1 −0.64 0.03 −22.45 <0.001
 Slope 2 0.04 0.01 2.81 0.01
Variances
 Intercept 18.61 1.54 12.06 <0.001
 Slope 1 0.13 0.03 4.78 <0.001
 Slope 2 0.03 0.01 2.49 0.01
Residual Variances
 BMI 0, 6, and 18 0.04 0.56 0.07 0.94
 BMI12B 0.89 0.22 4.10 0.00

Model: BMI Change Baseline to 18 months Estimate S.E. Est./S.E. P-Value

Covariances
 Slope with intercept −0.14 0.06 −2.27 0.02
Means
 Intercept 34.92 0.30 115.49 <0.001
 Slope −0.20 0.01 −15.97 <0.001
Variances
 Intercept 18.65 1.46 12.75 <0.001
 Slope 1
Residual Variances
 BMI 0 and 18 (fixed to zero) 0 N/A N/A N/A

Model: Reinforcement Ratio (RR) Estimate S.E. Est./S.E. P-Value

Covariances
 Slope 1 with intercept <0.001 <0.001 −2.36 0.02
 Slope 2 with Intercept <0.001 <0.001 2.62 0.01
 Slope 1 with Slope 2 <0.001 <0.001 −3.22 0.001
Means
 Intercept 0.38 0.01 53.27 <0.001
 Slope 1 −0.01 0.001 −9.33 <0.001
 Slope 2 0.001 0.001 2.67 0.01
Variances
 Intercept 0.01 0.001 6.10 <0.001
 Slope 1 <0.001 <0.001 3.24 0.001
 Slope 2 <0.001 <0.001 10.74 <0.001
Residual Variances
 RR 0, 6, 12, and 18 0.004 0.000 46.870 <0.001

Model: Food Related Reinforcement (FRR) Estimate S.E. Est./S.E. P-Value

Covariances
 Slope 1 with Intercept −0.04 0.02 −1.85 0.10
 Slope 2 with Intercept 0.01 0.01 1.20 0.23
 Slope 1 with Slope 2 −0.003 0.003 −0.98 0.33
Means
 Intercept 2.48 0.08 32.45 <0.001
 Slope 1 −0.08 0.01 −6.18 <0.001
 Slope 2 0.01 0.01 1.88 0.06
Variances
 Intercept 0.87 0.14 6.23 <0.001
 Slope 1 0.01 0.01 2.12 0.03
 Slope 2 0.002 0.002 1.19 0.24
Residual Variances
 FRR 0, 6, 12, and 18 0.30 0.03 8.40 <0.001

Model: FRR 2 Estimate S.E. Est./S.E. P-Value

Covariances
 Slope 1 with Intercept −0.02 0.02 −0.78 0.43
Means
 Intercept 2.48 0.08 32.46 <0.001
 Slope 1 −0.08 0.01 −6.03 <0.001
 Slope 2 0.01 0.01 1.76 0.08
Variances
 Intercept 0.81 0.15 5.36 <0.001
 Slope 1 0.01 0.003 2.22 0.027
 Slope 2 0.00 0.00 n/a n/a
Residual Variances
 FRR 0, 6, 12, and 18 0.36 0.06 5.71 0.000

Model: Food-Free Reinforcement (FFR) Estimate S.E. Est./S.E. P-Value

Covariances
 Slope 1 with Intercept −0.05 0.04 −1.37 0.17
 Slope 2 with Intercept 0.01 0.01 0.73 0.47
 Slope 1 with Slope 2 −0.001 0.004 −0.24 0.81
Means
 Intercept 4.03 0.10 40.78 <0.001
 Slope 1 0.08 0.017 4.73 <0.001
 Slope 2 −0.01 0.007 −1.33 0.19
Variances
 Intercept 1.30 0.243 5.35 <0.001
 Slope 1 0.02 0.009 1.80 0.07
 Slope 2 0.001 0.002 0.33 0.74
Residual Variances
 FFR 0, 6, 12, and 18 mo 0.68 0.09 7.66 <0.001

Model: FFR 2 Estimate S.E. Est./S.E. P-Value

Covariances
 Slope 1 with Intercept −0.04 0.03 −1.15 0.25
Means
 Intercept 4.02 0.10 40.68 <0.001
 Slope 1 0.08 0.02 4.70 <0.001
 Slope 2 −0.01 0.01 −1.29 0.20
Variances
 Intercept 1.29 0.24 5.27 <0.001
 Slope 1 0.02 0.01 2.38 0.02
 Slope 2 (fixed at 0) 0.00 0.00 N/A N/A
Residual Variances
 FFR 0, 6, 12, and 18 mo 0.70 0.09 8.25 <0.001

Note. FFR = food-free reinforcement; FRR = food related reinforcement; Slope 1 = change from 0 to 6 months; slope 2 = change from 6 to 18 months; intercept = baseline value.