EARLY-CHILDHOOD NUTRITION, SCHOOLING, AND SIBLING INEQUALITY 79
Table 4.5 Age at which school was started Explanatory variable
(1) Height-for-age z-score, 1998 Female
Current age fixed effects Cluster fixed effects Household fixed effects
Sargan overidentification (p-value) Mean age started
Mean height-for-age z-score Within-cluster R2
Within-household R2 Number of children Number of groups
6.0155 6.1717 0.4541
322 55
99 46
(2)
(3)
(4)
–0.0827 –0.1367 –0.4790 –0.1477 (2.87) (1.78) (1.98) (1.10)
–0.0474 –0.1766 –0.2957 –0.1805 (0.47) (0.98) (1.28) (0.98)
Yes Yes
Yes Yes Yes Yes 13.052
(0.0015) 6.1717
0.2138
99 46
Yes Yes n.a. 6.1717
–0.7164 –0.6892 –0.6892 –0.6892 0.1763
0.4539
99 46
Sources: South African Labour and Development Research Unit, University of Cape Town (1994); University of KwaZulu-Natal / International Food Policy Research Institute / University of Wisconsin–Madison (1998, 2004).
Notes: Dependent variable is age at which school was started. Numbers in parentheses are absolute t-values. Estimation with household (cluster) fixed effects uses children from households (clusters) with multiple children. Specifications include age fixed effects, and over-age and under-age indicators for reported age in 1998. Sample consists of children aged 1–4 years in 1998 and 7 years or above in 2004, with consistent ages between 1998 and 2004, height-for-age z-score in the range –6 to 6 in 1998, and age at which school was started equal to 4 years or above. In column 4, the equation is just identified. n.a. means not available.
and aged 7 or above in 2004.16 Column 1 controls only cluster-level fixed effects, while Columns 2 and 3 report within-sibling estimates. The specifica- tions include current age indicators to control cohort effects. In column 1, greater child height is found to significantly lower the age at which the child started school, though this estimate is likely to be biased owing to a correla- tion between household-level factors and child height.
16 Since older children are more likely to be already in school than younger children, this type of sample selection affects estimated height effects on age schooling started. If the height effect is positive, those who are relatively well endowed are likely to be dropped from the sample, especially among older children (ages 4 and 5). As a result, the selection biases the estimate upward (smaller in absolute value).
The enrollment rates among children age 7 or above are quite high in this sample (KIDS round 3, Section 12.2): 99.04 percent (age 7), 100 percent (age 8), 99.51 percent (age 9), 99.51 per- cent (age 10), and 98.73 percent (age 11). Therefore, omitting children who had not started schooling is not consequential.
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