Table 4.
Model 1 | Model 2 | Model 3 | Model 4 | |||||
---|---|---|---|---|---|---|---|---|
Age 15 Math (baseline) | Age 15 Math (mediators) | Age 15 Math (mediators + div/frac knowledge) |
Coefficient Reduction from Model 1- Model 3 |
|||||
b | s.e. | b | s.e. | b | s.e. | b | s.e. | |
First Grade Achievement | ||||||||
Mathematics | .36 *** | (.05) | .27 *** | (.05) | .22 *** | (.05) | .13 *** | (.02) |
Reading | .10 * | (.04) | .10 * | (.04) | .05 | (.04) | ||
Mediators: | ||||||||
Math Self Concept Ability | .20 *** | (.02) | .16 *** | (.02) | ||||
School placements (2nd-4th grade) | ||||||||
Special education | −.13 | (.09) | −.10 | (.09) | ||||
Gifted and talented | .20 ** | (.07) | .17 * | (.07) | ||||
Executive Function (3rd-4th grade) | ||||||||
Memory for Sentences | .08 | (.05) | .08 | (.05) | ||||
Tower of Hanoi | .03 | (.03) | .01 | (.03) | ||||
Continuous Performance Task | .04 | (.04) | .03 | (.03) | ||||
Division and Fractions Knowledge (5th grade) | .21 *** | (.03) | ||||||
First Grade Executive Function | ||||||||
Memory for Sentences | .10 * | (.04) | .05 | (.06) | .07 | (.06) | ||
Tower of Hanoi | .03 | (.03) | .01 | (.03) | .01 | (.03) | ||
Continuous Performance Task | .08 * | (.04) | .04 | (.03) | .04 | (.03) | ||
Covariates | Inc. | Inc, | Inc. |
Note. Continuous variables were standardized to z-scores using the means and standard deviations from each imputed data set (25 MI datasets; n=1362). Standard errors were obtained by the robust estimator. All coefficients were generated from fully controlled models. Covariates included first grade measures of externalizing, internalizing, and social skills; 54-month measures of surgency, negative affectivity, and effortful control; 36-month measure of school readiness (Bracken Basic Concept Scale), and 24-month measure of mental development (Bayley Mental Development Index); birth weight, ethnicity, gender, age at first grade test, number of children in the home, average family income between 1-month and first grade, mother's education level, mother's age at birth, and site. Model 4 was obtained by using Seemingly Unrelated Estimation (suest).
p ≤ .05;
p ≤ .01;
p ≤ .001.