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. Author manuscript; available in PMC: 2016 Nov 1.
Published in final edited form as: Child Dev. 2015 Sep 2;86(6):1892–1907. doi: 10.1111/cdev.12416

Table 4.

Regression Adjusted Estimates of the Associations Between First Grade Achievement and Age-15 Mathematics Achievement

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.