Page 33 - 1990(3) Cesus Of Agriculture, provience report-Punjab

joint holding only 1/2, 1/3, 1/4
holding or as the case might be, Total Mouzas in the. i th · patwar
was considered enumerated when one circle, j=I to R.
of the ~o, one of the three or one l.
of fou 7 partners of ? holding Sample Mouzas in the i th patwar
respectively, was enumerated . · circles, j=I tor ~
Total Patwar cii"cles in the h th
The . terminology used in the stratum, i =I to sh
estimation of . aggregates and
variance alongwith the mathematical Sample Patwar Circles in the h th ·
formulae for developing census es- stratum, i='I t-9 sh
timates is given below:

Total Strata in a Su~-division, h=I
A. Terminology
to L .
Standard notation practices
have been used, such as small let- Total Strata in a Sub-division com-
ters used for sample 6bservations p~ising non-certainty Patwar
Circles, h'=I to L'
capital letters for populatio~
values and capped capital letters Total Strata in a Sub-di~ision com-
for estimates of population values.
pris~ng certainty Patwar Circles,
1
h"=I to (L-L )
Yhijkl is the observation from the
1th sample household
• For example: yh". :k· ,,, represents the
1
th
~J
of the kt·h Cluster I"' non-certainty household, of
the
,th
of the J Mouza k th cluster of the
of the ith Patwar Circle th
j mouza d'f the
·of the hth stratum · th
i patwar circle of the
and xhi'k is the number of h" th stratum comprising one cer-
elementaty units in the k th cluster · tainty patwar circle.
having such attributes .
.
.:
With the number of: B. Probabilities of Selection
Total households in the k th cluster,
Phijkl=Overall , probability- of
1=1 to Nk selection o1 the I th household k th
,th , th '
. us
Cl t er, thJ mouza, 1 patwar
Natiorf l Certainty Households in circle, _h stratum.
t he k · cluster, 1' =1 to N'
k
For non-certainty holdings,
Mfii1za Certainty Households in · the
k cluster, 111=1 to N"k J?hijkl" , = Phijk .
th For mouza cert.ainty holdings,
Non-certainty Households in the k · .;;• . -:;:~ .
phijklu=Phij .
1
cluster, 1° =lto (Nk-N'k-N'\)
th For national certainty_ hold-
Total Clusters in ~~e j mouza, k=l'
ings, phijkl'=I ·
to Qj
th By each .stage of sample selec-
Sample Clusters in the j mouza, tion, probabiiities are~
k=l to qj

(xxxi)

I