Page 182 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV leku in&ewY; gksus ijμdHkh&dHkh ,slk Hkh gks ldrk gS fd nks ;k vf/d in&ewY; leku gksa rks
budks Øe iznku djus dh nks fof/;k¡ viuk;h tkrh gSaμ
(i) dks"B Øe jhfr (Bracket Rank Method)μleku in&ewY;ksa dks leku Øe fn;k tk;s ijUrq
muosQ ckn okys in dks ogh Øe fn;k tk;sxk tks fd inksa osQ leku u jgus ij fn;k tkrk gSA
mnkgj.kkFkZ] 20] 25] 22] 21 ,oa 22 la[;k,¡ gSaA ;gk¡ 25 dks Øe 1 vkSj nksuksa 22 dks 2 ,oa
3 Øe] 21 dks 4 ,oa 20 dks Øe 5 fn;k tk;sxkA
(ii) ekè; Øe jhfr (Average Rank Method)μleLr leku inksa dks muosQ Øe inksa osQ ekè;
Øe ls Øe fn;k tkrk gSA tSls ,d Js.kh dk lcls cM+k in 30 gS vkSj mlesa 25 rhu ckj vk;k
(2 + 3 + ) 4 9
gS] vr% 30 dks Øe 1 rFkk rhuksa 25 dks 3&3 Øe fn;k tk;sxk D;ksafd =
3 3
=3 ijUrq bl 25 osQ ckn okys in dk Øe 5ok¡ gksxkA

(2) nksuksa Jsf.k;ksa osQ Øeksa dks Øe'k% ?kVkdj Øe&vUrj (D) Kkr dj ysrs gSaA ØekUrj dk ;ksx (ΣD) loZnk
0 vkrk gSA
2
(3) bu ØekUrjksa dk oxZ fudky ysrs gSa] vFkkZr~ D A
2
(4) ØekUrjksa osQ oxks± dks tksM+ ysrs gSaA ;g ΣD gksrk gSA
(5) fiQj fuEu lw=k dk iz;ksx dj ØekUrj lglEcU/ xq.kkad fudkyrs gSaμ
Σ
6D 2
r = 1 – N(N − 1)
2
s
fVIi.khμ;fn lw=k rHkh lgh gS tc fdl Hkh Js.kh esa leku in&ewY; u gksaA
where r = Cofficient of rank correlation (Js.kh lglEcU/ xq.kkad)
s
2
SD = Sum of the squares of the differences in ranks (ØekUrj osQ oxks± dk ;ksx)
N = Number of items (inksa dh la[;k)

leku Øe gksus ij la'kks/uμfdlh Js.kh esa ;fn ,d ls vf/d inksa dk ewY; leku gksrk gS rks mi;qZDr lw=k
esa o`f¼ djuh iM+rh gSA
L 1 O
+ (m
6 ΣD + M N 2 3 − m ) ... P Q
12
r = 1 – N(N − 1)
2
s
1 3
2
inekyk osQ ftrus inksa dh iqujko`fÙk gksxh] mruh gh ckj 6ΣD esa (m − m ) dks tksM+saxsA ;gk¡ m ml in
12
dh vko`fÙk gS rks ,d ls vf/d ckj vk;k gSA ,sls iz'uksa osQ fy, mnkgj.k 2 ,oa 3 nsf[k,A
mnkgj.k (Illustration) 1: fuEu vk¡dM+ksa ls dksfV lglEcU/ xq.kkad ifjdfyr dhft,μ
dksfV (Rank) X : 5 3 4 8 2 1 7 10 6 9
dksfV (Rank) Y : 3 7 5 9 2 4 1 10 8 6

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