Page 116 - Contributed Paper Session (CPS) - Volume 5
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CPS1137 Mamadou Youry SALL
                      Hereafter, we propose a less biased estimator of the number of children
                  enrolled  per  generation,  say  the  Generational  Admission  Rate  (GAR).
                  Considering the quality of the school data existing at the moment in many
                  countries, even the African ones, and the computer software development, it
                  should not be difficult to calculate this indicator.

                  2.  Methodology
                      To build an educational access indicator, one must take into account four
                  parameters:  the  level  in  which  students  are  enrolled,  the  school  year,  the
                  different ages of students and also the entry date into School, which gives
                  formally:
                      the population of k years at time t    Pt, k                        (1)
                                                             Pt, k, d                                           (2)


                  the number of schoolchildren among them at date d. Hence, the admission
                  rate will be, by definition:
                                                                                          (3)


                  corresponding to the proportion of children of ko years old, during the school
                  year t0, found in the school at various date d. This includes all members of the
                  generation getting into school at the normal age ko, before this age or after.
                  It  is  clear  here  that,  simple  observations  don’t  permit  to  get  the  accurate
                  number. To have this, it will be necessary to organize a census beginning from
                  the enrolment of the first member in the target group (generation) to the last
                  one. Doing this may take many years. Of course this duration is not suitable
                  for policymakers. Because of this difficulty, we must use statistical estimators
                  as indicators. To fix the ideas, let's consider now one cycle of school, with six
                  levels  of  study  and  seven  years  as  normal  age  for  the  enrolment.  So,  the
                  Admission  Gross  Rate  (AGR),  which  is  the  usual  approximation  of  the
                  admission rate defined above, is:



                                                                                          (4)

                  Where, si,  t, k is the number of children of k years old, enrolled during the school
                  year t, at level i,. Km being the youngest student’s age. We can rewrite the AGR
                  as following,






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