Page 167 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

bdkbZ—10% lglaca/ % fo{ksi&fp=k fof/] dkyZ fi;lZu dk lglaca/ xq.kkad

(l) fuEu Lrj dk lglEcU/ (Low Degree of Correlation)μtc nks leadekykvksa esa lglEcU/ rks gksrk uksV
gS] ijUrq cgqr gh de ek=kk esa rks ogka fuEu Lrj dk lglEcU/ gksrk gSA ;gka lglEcU/ xq.kkad 'kwU;
(0) ,oa .5 osQ eè; gksrk gSA ;g Hkh /ukRed ;k Í.kkRed gks ldrk gSA
lglEcU/ dk ifjek.kμ,d n`f"V esa

lglEcU/ ifjek.k /ukRed (Positive) Í.kkRed (Negative)
lglEcU/ xq.kkad dk eku lglEcU/ xq.kkad dk eku
iw.kZ (Perfect) + 1 – 1
mPp Lrj dk (High Degree) + .75 rFkk + 1 osQ eè; – 1 rFkk – .75 osQ eè;

eè; Lrj dk (Moderate Degree) + .5 rFkk .75 osQ eè; – .75 rFkk – .5 osQ eè;
fuEu Lrj dk (Low Degree) + 0 rFkk + .5 osQ eè; – .5 rFkk 0 osQ eè;
lglEcU/ dk vHkko (No Correlation) 0 ('kwU;) 0 ('kwU;)

10-5 dkyZ fi;lZu dk lglEcU/ xq.kkad fudkyus dh fof/ (Method of Calculation

of Karl Pearson’s Coefficient of Correlation)
izR;{k jhfr (Direct Method)μlglEcU/ xq.kkad dks fudkyus dh fof/ fuEu gSμ
lg&fopj.k dh eki
ewy lw=kμ r =
x
y
×
(dk izeki fopyu) ( dk izeki fopyu)
Σdd /N Σdd
= x y ;k x y (izFke lw=k)
σσ y Nσσ y
x
x
;gka d = X – X , X osQ ekè; ls fopyu] d = Y – Y , Y osQ ekè; ls fopyu
x y
(1) nksuksa Jsf.k;ksa dk lekUrj ekè; fudky ysrs gSaA
(2) lekUrj ekè;ksa ls nksuksa rRlEcU/h Jsf.k;ksa osQ inksa dk vyx&vyx fopyu fudky ysrs gSaA lkekU;r%
igys Js.kh osQ fopyu dks d vkSj nwljh Js.kh osQ fopyu dks d dgrs gSaA
x
y
(3) nksuksa Jsf.k;ksa osQ inksa osQ vkeus&lkeus osQ fopyu dks xq.kk (d × d ) djosQ mu lcdk ;ksx (Σd d ) izkIr
y
x
x y
dj ysrs gSaA
(4) nksuksa Jsf.k;ksa dk vyx&vyx izeki fopyu (σ vkSj σ ) fudky ysrs gSaA
x
y
(5) vc nksuksa Jsf.k;ksa osQ fopyuksa osQ xq.kuiQyksa osQ ;ksx (Σd d ) esa inksa dh la[;k] rFkk igyh Js.kh osQ
x y
izeki fopyu vkSj nwljh Js.kh osQ izeki fopyu osQ xq.kuiQy (Nσ σ ) dk Hkkx nsrs gSaA
x y
izkIr HktuiQy lglEcU/ xq.kkad gksrk gSA
tgka] r = lglEcU/ xq.kkad (Stands for coefficient of correlation)
Σd d = x vkSj y Js.kh osQ fopyuksa osQ xq.kuiQyksa dk ;ksx (Stands for total of product of correspond-
x y
ing deviation of x and y series)
N = inksa dh la[;k (Stands for Number of pairs of items)
σ = x-Js.kh dk izeki fopyu (Stands for Standard Deviation of x-series)
x
σ = y-Js.kh dk izeki fopyu (Stands for Standard Deviation of y-series)
y

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