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Priyanka Dixit and Laxmi Kant Dwivedi

                                All models used a logit link function to obtain estimates of fixed and random effects and are esti-
                             mated with  MLwiN software (version 2.15,  http://www.bristol.ac.uk/cmm/software/mlwin/). For
                             interpretive ease, fixed coefficients were converted to odds ratios and the significance level of p <
                             0.05 was used.

                             3 Results
                             3.1 Percentage Using Institutional Delivery Care

                             Table 1 presents the percent distribution of ever-married women according to the utilization of insti-
                             tutional delivery for up to three of the most recent (successive) births in India in the five years prior
                             to the NFHS-III in 2005-2006. The distributions show that the prevalence of utilization of institu-
                             tional delivery among women who had one, two, and three births in the five years prior to the survey
                             was 47.4%, 26.2%, and 15.6%, respectively. Among women who had three births, 63.1%of them
                             delivered all three births at home and 5% delivered their third birth in a hospital while the previous
                             two births were at home.
                             3.2 Validation of Assumption of Independent Bernoulli Trials

                             We first applied a three-level model to examine the consistent use of institutional delivery (presented
                                                                                      2
                             in Table S1 in the Appendix). In the three-level model keeping  σ   as unconstrained, we validated
                                                                                      e
                                                                                       2
                             the  assumption of independent Bernoulli trials. Our  estimated  σ value is  0.16 (see  Table S2),
                                                                                       e
                             which was far below 1 and highlights the problem of under-dispersion in the model. This clearly
                             shows  that  pregnancies within mothers are not conditionally  independent  of each  other  —  note:

       Table 1. Percent distribution of ever-married women according to the consistent utilization of institutional delivery for successive births in India.
                  Observed births in sequence of increasing birth order    Consistent utilization of institutional delivery
                                                                           %                            N

                     Women With One Birth

                       Home                                                52.56                   10956
                       Institute                                           47.44                   13080
                     Total                                                100                      24036
                     Women With Two Births

                       Home, Home                                          59.73                    6007
                       Home, Institution                                    5.87                     686
                       Institution, Home                                    8.21                     890
                       Institution, Institution                            26.19                    3448
                     Total                                                100                      11031
                     Women With Three Births

                       Home, Home, Home                                    63.05                    1006
                       Institution, Home, Home                              5.98                     95
                       Institution, Institution, Home                       2.98                     48
                       Institution, Institution, Institution               15.55                     301
                       Home, Institution, Institution                       2.60                     58
                       Home, Home, Institution                              5.08                     96
                       Home, Institution, Home                              2.24                     31
                       Institution, Home, Institution                       2.51                     43
                     Total                                                100                       1678
       Note: Successive births begin with the first birth for which information is available in the 5-year period before the NHFS-III.

                                      International Journal of Population Studies | 2016, Volume 2, Issue 2    127
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