Page 38 - 2000 (3) Agricultural Census 2000, Procedure & Data Tables Punjab( Enhance)
P. 38

In  general  terms  the  quality  of                   items,  their  sampling  errors  are
         the  census  data  may  be  adjudged  on                      brought  on  comparable  terms
         the      criterion     of     ( 1)    internal                by      expressing        them       as
         consistencies  and  reasonableness;                           percentages· of relevant  sample
         and  (2)  by  comparison  with  other                         estimates.         The        resultant
         corresponding  series.  The  estimates                        measure  is  designated  as  co-
         presented  in  this  report were checked                      efficient  of  variation  which  can
         for  quality for technical  terms  as  well                   be  worked  out  directly  from  the
         as for general terms.                                         census         data.       For      the
                                                                       Agricultural  Census  2000  co-
            (1)  Sampling Error                                        efficients of variation  have  been
                                                                       worked  out  for  a  number  of
                 Sampling  error is  a measure to                      important  items  and  given  in  ·
                 determine       the     prec1s1on      /              Appendix-Ill  for  enlighting  the
                 consistency  of  the  sample                          data  users  about  accuracy  of
                 results,  i.e.  the  closeness  of                   · the  concerned  estimate(s).  The
                 sample       results      to     those                formula  used  for  estimating                      ·A
                 obtained       through      complete                  relative     variance      (R.V.)     is
                 count  conducted  with  exactly                       described  in  the  succeeding
                 similar       arrangements           of               paragraphs.
                 training,              enumeration,
                 supervision,  processing,  etc.  In              a)  Relative         Variance         (R.V.)
                 other  words,  sampling  error  is                    Estimates at Sub-division Level
                 not  'error',  as  the  word  error
                 portrays,  but  is  the  probable                     At  the  sub-division  level,  R.V.
                 difference         between         the                can  be  estimated  simply  by  first
                 population       mean      and     the                raising  the  sample  observations
                 sample  mean.  Suppose,  if  a                        of each  patwar circle to  stratum
                 number  of       estimates  for  an
                                                                       level  using  the  overall  raising
                 item  are  developed  from  all
                                                                       factor  for  each  holding  but
                 possible-samples  of same  size                       excluding  all  National  Certainty
                 drawn  with  similar  procedure                       Holdings  (NCHs),          and  then
                 from  a  population,  their  mean                     summmg        up  to      obtain     an
                 would  be  equal  to  the  mean
                                                                       estimate  for  each  half  stratum
               . based  upon  complete  count                          as under:-
                 and  their  dispersion  about  that                                                                  •
                 mean,  measured  in  terms  of
                                                                /\        r1   q   (Nk -  N'k - N\)   Y-h'1ikl"'
                 variance,  is  called  sampling
                                                                yh'1  -  L [ L  L
                 variance.  The  square  root  of
                                                                              k    I"'                 ph'1jk
                 sampling  variance  is  known  as
                 sampling error.
                                                                             Qi     N "k   yh'1 jkl"
                                                                      +     I     I                 ]
                Further,  to compare precision  of
                                                                              k     I"   ph'1j
                sample  estimates  of  different


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