Page 35 - Agricultural Census 2000 NWFP Vol II Part 1
P. 35

For        example:          Yh"Ukl"'                  2)   hpj     =  p~obability - of
                                                 th
                       represents  the  I"'          non-                                 selection     of  the
                                                                                         j1h  mouza
                       certainty household  of the

                              th                                              3) h ii Pk  =   probability      of
                             k  cluster of the                                            selection     of  the
                                                                                           th
                                                                                          k   cluster
                             _th
                            J  mouza ofthe
                                                                              The      cumulative        overall-
                             .th                                              probabilities  of  selection  of
                             1  Patwar circle of the
                               th                                             each  stage  of  selechon
                             h"  stratum  comprising                          are:-
                             one     certainty     patwar
                             circle.                                          1)  Phi      =  hpi
                                                                              2)  phij     =  hpi  X  hipj

                                                                              3)  phijk  =  hpi  X  hipj  X
                                                                                               h ij pk  -
                   b)  Probabilities of Selection                    ·  c)  Census Estimates


                                                 '
                      · Phi i k  =  Overall  probability                      Step1 :Estimate  for  total  of
                              1
                                                                                      all        non-certainty.
                                   of  selection of
                                                                                      observations      for  the
                                                                                       th
                                  th                                                  k   cluster
                            the  I    household  from
                              th
                            k     cluster  of r  mouza
                                     th                                       I\        (Nk-N'k -N"k)
                            of       i  patwar circle of                        I/I
                              th                                              Y ·  hijk  =·I  .        yhijkl"'
                            h stratum:  ·
                                                                                         I' II
                       For non-certainty holdings,                          _ Step 2: Estimate  for  the  j1h
                                                                                                  '
                       p h i j k I '"  =  p h i j k                                   mouza  for  non- NCH
                                                                                      holdings
                       For        mouza         certainty
                       holdings,  Phiikl"  =  Phii                                   I\

                                                                         I\       qj  Y'"hiik   Or  N"k  ·
                       For       national       certainty
                                                                         yhij  =  L  -- + L  L            yhijkl"
                       holdings,  Phiikl'  =  1
                                                                                  k  hijpk      k  I"
                                                                                                                th
                       By  each  stage  of  sample                            Step3:Estimate  for  the  i
                       selection,  probabilities are :-                               patwar       circle  - for
                                                                                      non-NCH holdings
                       1)    h Pi   =  probability  . of
                                                         th
                                     selection  of the i                                    I\
                                    patwar circle                           I\        r.  I   yhij
                                                                            yhi   =  L  ---
                                                                                      J    hpj


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