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. Author manuscript; available in PMC: 2019 Aug 8.
Published in final edited form as: Rev Econ Househ. 2017 Jun 8;17(1):121–147. doi: 10.1007/s11150-017-9376-y

Table 3:

Estimates of the CDPF for reading Skills at Age Four

(1) (2) (3) (4) (5) (6) (7) (8)
Cumulative VAM VAM with parenting measure VAM-plus lagged inputs VAM-plus with parenting VAM-plus with 2 lags VAM-plus with 2 lags & parenting Child fixed effect^
Contemporaneous Inputs
Sings songs – 4 yrs. 0.049* 0.075** 0.067** 0.039 0.022 0.037 0.021 0.10**
(0.027) (0.029) (0.030) (0.028) (0.033) (0.028) (0.033) (0.040)
Reads books – 4 yrs. 0.17*** 0.21*** 0.18*** 0.16*** 0.13*** 0.16*** 0.12*** 0.050
(0.029) (0.030) (0.031) (0.032) (0.037) (0.032) (0.037) (0.031)
10 or more books in home – 4 yrs. 0.15*** 0.18*** 0.14*** 0.13*** 0.037 0.13*** 0.035 0.27***
(0.037) (0.042) (0.041) (0.043) (0.055) (0.043) (0.055) (0.053)
Parent-child interaction (TB subscales) – 4 yrs. 0.091*** 0.063*** 0.063*** 0.14***
(0.013) (0.017) (0.017) (0.014)
Lagged Inputs
Sings songs - 2 yrs. 0.097*** 0.066* 0.062 0.069* 0.063
(0.035) (0.037) (0.045) (0.037) (0.045)
Sings songs - 9 mo. 0.012 0.0018 −0.035 −0.00089 −0.037
(0.035) (0.034) (0.042) (0.035) (0.042)
Reads books - 2 yrs. 0.13*** 0.10*** 0.090** 0.10*** 0.091**
(0.032) (0.035) (0.037) (0.035) (0.037)
Reads books - 9 mo. 0.11*** 0.089*** 0.11*** 0.086*** 0.11***
(0.027) (0.026) (0.037) (0.026) (0.036)
10 or more books in home - 2 yrs. 0.14*** 0.082* 0.067 0.081* 0.067
(0.040) (0.042) (0.046) (0.041) (0.047)
Parent-child interaction (TB subscales) - 2 yrs. 0.043** 0.042**
(0.019) (0.019)
Parent-child interaction (NCATS score) - 9 mo. 0.036** 0.034**
(0.014) (0.014)
Reading scale score (std.) - 2 yrs. 0.28*** 0.27*** 0.26*** 0.26*** 0.25*** 0.25***
(0.013) (0.016) (0.014) (0.020) (0.014) (0.020)
Reading scale score (std.) - 9 mo. 0.039 0.040
(0.024) (0.029)
Child and Family Characteristics
Male −0.14*** −0.043* −0.047* −0.047* −0.043 −0.045* −0.040
(0.026) (0.026) (0.026) (0.026) (0.033) (0.026) (0.032)
Black −0.020 0.022 0.033 0.063* 0.100** 0.060* 0.099**
(0.033) (0.035) (0.036) (0.034) (0.043) (0.034) (0.043)
Hispanic −0.24*** −0.19*** −0.16*** −0.15*** −0.084* −0.16*** −0.086*
(0.038) (0.034) (0.036) (0.034) (0.044) (0.035) (0.044)
Asian 0.35*** 0.39*** 0.46*** 0.42*** 0.53*** 0.42*** 0.52***
(0.047) (0.046) (0.056) (0.046) (0.066) (0.045) (0.066)
Other race −0.0054 0.039 0.064 0.049 0.067 0.021 0.069
(0.057) (0.058) (0.062) (0.058) (0.061) (0.047) (0.060)
Low birthweight −0.20*** −0.084*** −0.075*** −0.087*** −0.085*** −0.067*** −0.064*
(0.027) (0.026) (0.026) (0.025) (0.032) (0.025) (0.035)
College 0.52*** 0.46*** 0.44*** 0.43*** 0.37*** 0.43*** 0.37***
(0.033) (0.034) (0.037) (0.033) (0.039) (0.033) (0.039)

Observations 8200 7550 6700 7550 5050 7550 5050 165251

Standard errors in parentheses.

*

p<.10

**

p<.05

***

p<.01.

Coefficients represent a standard deviation change in observer-rated child reading ability at 4 years of age (dependent variable) derived from the ECLS-B reading assessment (see text and Appendix E for more detail). Observations are rounded to the nearest 50 in compliance with the ECLS-B security requirements. The Cumulative model in (1) includes all lagged and contemporaneous input measures, but not lagged reading scores. VAM (2) is the Value-added model, which includes contemporaneous inputs and the first period lag of the dependent variable (child reading score) from the age-2 wave. Model (3) adds to (2) the contemporaneous parent-child interaction assessment score. The VAM-plus (4) includes everything in (2) and adds all the lagged inputs less the lagged parent-child interaction scores, which is added in (5). The VAM-plus with 2 lags (6) adds to (4) the second period lagged reading score (at 9 months). Model (7) adds to (6) the contemporaneous and lagged parent-child interaction scores. (8) is a within-child difference estimator that includes only time-varying inputs. Models estimated using a complete-case sample shown in Appendix F.

^

Coefficients on inputs displayed for the age-4 wave, but are within-child estimates. Observation count represents unique cases.

1

Unique case count for the child fixed effect model is 6650.