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CPS1484 Neela A Gulanikar et al.



                                Parametric bootstrap based test for detecting
                                        changes in marriage patterns
                                    Neela A Gulanikar, Akanksha S Kashikar
                            Department of Statistics Savitribai Phule Pune University, Pune, India

                  Abstract
                  Indian marriage markets have traditionally seen hypergamy, where females
                  tend to marry up. Recent increase in the female literacy rates and increase in
                  the female enrolment in higher education has resulted in some changes in the
                  educational hypergamy. We try to develop a parametric bootstrap based test
                  to examine the significance of changes in the marriage rates across different
                  educational levels. The test can further be extended to other socio-economical
                  groupings such as  income groups, age groups etc. This will lead to better
                  understanding of changes in marriage markets which further affect the future
                  demographic structure of the country. Simulation studies are carried out to
                  examine whether the test maintains the level and the changes in the power of
                  the test for different parameter combinations.

                  Keywords
                  Educational hypergamy; Marriage markets; Parametric bootstrap

                  1. Introduction
                     Skewed sex ratio is an important problem in Indian context. Many parents
                  still consider female children to be burden and hence, female foeticide and
                  infanticide have been serious issues since long. At the time of independence,
                  the literacy rates in India, especially those in female population were seriously
                  low. However, the efforts by the government and different non-governmental
                  organization (NGOs) such as free school education / scholarships to female
                  children have resulted in the significant increase in the female literacy rates.
                  The  Figure  1  shows  that  the  proportion  of  literate  female  has  more  than
                  doubled over the last 35-40 years. Traditionally, hypergamy (marrying up) is a
                  common  phenomenon  in  the  Indian  society.  One  of  the  major  types  of
                  hypergamy is the educational hypergamy, i.e., generally females tend to marry
                  men who have attained a comparatively higher degree. However, the recent
                  increase in the education levels in females are expected to have created some
                  disturbances in this educational hypergamy. Since the number of educated
                  females is on the rise, not all of them will be able to find a  partner more
                  educated  than  them.  As  a  result,  some  women  may  resort  to  hypogamy
                  (marrying down) and marry the men having lower education than them. As
                  per our knowledge, so far this change has not been statistically examined in


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