Page 39 - 2000 (3) Agricultural Census 2000, Procedure & Data Tables Punjab( Enhance)
P. 39

sub-division  (g),        then      the
           /\        r2   qj   (Nk - N\ - N"k)                           R.V.for the  district with  g  =  1  to
                                                  yh'2jkl'
           yh'2  =  I(I  I                                               u  sub-divisions in the district is
                         k    I'"                  ph'2jk                          LI             /\
                                                                                                    2
                                                                                  I   ( RVYW )  Y w
                                                                                               9
                                                                                                     9
                        Qj     N"k    yh'2jkl"                                     g
 i'
                 +      I     I                ]                  RVYW  =
                         k     I"    ph'2j                                               LI   /\
                                                                                      ( I  Yw )2
                                                                                                9
                  then,  R.V.  for  the  sub-division                                    g
                                                                  and
                  estimate  of  aggregates  of  the
                  attribute  is  obtained  by  taking
                                                                                    u             /\
                  square  of  differences  between                                                  2
                                                                                   I   ( RVXW )  X wg
                                                                                               9
                  estimates  for  successive  pairs                                 g
                  of  half  strata  divided  by  the              RVXW  =
                  sub-division        estimates         as
                                                                                         LI   /\
                  follows:-                                                            ( I  Xw )2

                                            /\    /\                                     g      9
                 /\           /\        L'   yh'1  -Yh'2                 R.V.  estimates  for  provinces
                                    =  I  [             ]2               and  country  levels  have  also
                                        h'     /\                        been  worked  out  on  the  same
                                               y
                                                                         pattern as at the district level,
                  Similarly,  R.V.  for  the  sub-
                  division estimate of units having                  (2) Non-Sampling Errors
                  the attribute is : -

                                                                         The errors other than those due
                                             I\    I\
                                                                         to  sampling  are  called  non-
                 /\           /\        L'   xh·1  - xh·2                sampling          errors.        These
  I',·
           Var.(X)  =  [C.V.(X)f  =  I  [--- ]           2               include     errors     in    sampling
                                        h'     /\
                                                                         .frame,      selection       of     the
                                               X                         sample,  enumeration,  incorrect
                   Per cent  Sampling  Error,  i.e.
                                                                         response  due  to  biases  and
                                                                         ignorance,  errors  in  recording
                   (C.V.)  =  I R.V.      x  100
                                                                         answers,  processing errors,  etc.

              b)  Estimates at District,  Province
                                                                         Interestingly,  sampling  and  non-
                   and Country Levels
                                                                         sampling  errors  are  negatively
                                                                         related.  In  other  words,  an
                   If the  R.V.  for the  aggregate  of                  increase      in    sampling       error
                   characteristic      (W)     for   sub-                would  cause  a  decrease  in  the
                   division    (g)    is  denoted       by               non-sampling  error  and  vice

                   RVYW and .Yw is  the estimate                         versa.  Normally,  an  increase  in
                           9
                                      9
                   for     the       aggregate         (Y)               sampling       error    1s    due     to
                   of     characteristic       (W)      for              decrease        in    sample       size.



                                                          ( XXXVII)
   34   35   36   37   38   39   40   41   42   43   44