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Desta CG

           Table 4. Proportion of variance explained for maternal work by the number of children and other covariates

                             Full sample                 Urban sub-sample                Rural sub-sample
             Model       Wald  χ  2        2           2    2                 2         Wald  χ  2         2
                                                                                          2
                            2
                      (LR  χ for OLS)   Prob >  χ  Wald  χ (LR  χ   for OLS)   Prob >  χ  (LR  χ   for OLS)   Prob >  χ
           Exogenous      28.32       0.005             23.56           0.018            22.60        0.030
           probit (%)
           Ivprobit (%)   24.51       0.022             16.08           0.237            14.35        0.130
           N                    493                           248                             245
           Source: Survey data (2010 and 2013).
             Table 5 shows parameter estimates for the ivprobit model (and exogenous probit model). It is worth noting, at this
           juncture, that this study does not intend to discuss coefficients from control variables (see Appendix B for coefficients
           from control covariates).
             The table consists of three panels. Each panel compares results for the rural and urban locations. The first panel shows
           results for all households that differ only in their rural-urban location. The second and the third panels show results for
           households that differ by the age group of their children, in addition.
             For  the  first  panel,  first,  the  ivprobit  estimate  has  all  positive  coefficients  for  both  the  rural  and  urban  locations,
           suggesting that an increase in the number of children is associated with an increase in the probability of the mother’s
           work participation for the households, despite the lack of statistical significance for the ivprobit coefficients. While the
           lack of statistical significance for the ivprobit coefficients as opposed to those using the exogenous model is consistent
           also with several other previous research, the lack of difference in coefficient signs by rural-urban location is surprising
           because the difference in the employment structure between the rural and the urban economies is expected to respond to
           the effect of the number of children differently for the rural and the urban locations. However, this difference becomes
           fairly  apparent  once  the  lifecycle  effect  is  considered  by  categorizing  households  according  to  age  groups  of  their
           children (the last two panels of Table 5).
           Table 5. Parameter estimates for maternal work participation by the number of children (with control variables)

                                                      Full sample        Urban sub-sample      Rural sub-sample
               Group of households     Model
                                                   Coef.     p > z        Coef.    p > z      Coef.   p > z
                                                   0.0918                -0.2156             0.1568
                                   Exogenous probit          0.070                0.061               0.004
                                                  (0.0321)               (0.0452)            (0.0425)
           All households          Ivprobit        0.1671    0.418        0.0304             0.8412   0.113
                                                  (0.2031)               (0.1549)   0.315    (0.1456)
                                        N                493                  248                 245
                                                   0.1903                 0.1843             0.1497
                                   Exogenous probit   (0.1102)   0.021   (0.3201)   0.321    (0.1222)   0.107
           Households with children                0.3349                -0.0989   0.498      0.7008
           of ages <  10 years     Ivprobit                  0.420                                    0.092
                                                  (0.9742)               (1.7025)            (0.5079)
                                        N                217                  99                  118
                                                   0.9963                -0.0845             0.2111
                                   Exogenous probit   (0.1515)   0.088   (0.0852)   0.541    (0.0981)   0.026
           Households with children                0.0711                 0.1252             -0.9932
           of ages ≥ 10 years      Ivprobit                  0.476                0.084               0.566
                                                  (0.1845)               (0.3602)            (6.961)
                                        N                276                  149                 127

           Note: Standard errors are reported in parenthesis. Source: Survey data (2010 and 2013).

             The second panel of the table shows results for mothers with children of ages less than ten years. The third panel shows
           results for those mothers with children of ages ten years or older. For the urban sub-sample, the ivprobit coefficient is
           negative for the second panel, suggesting, as expected, that large number of young children decreases the probability of the
           mother’s work participation, although it is not statistically significant. In the third panel, the ivprobit coefficient is positive
           and statistically significant at p = 0.084, suggesting that for urban mothers with more adult children, the negative effect of
           the number of children disappears and contributes positively. For the rural sub-sample, the ivprobit coefficient is positive
           and statistically significant for the second panel at p=0.092, suggesting that large number of young children increase the
           mother’s probability of work participation. By contrast, for the third panel the ivprobit coefficient is negative, suggesting a
             34                                  International Journal of Population Studies | 2017, Volume 3, Issue 2
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