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“Our age is so painful that many of the
best men have been seized with despair.
But there is no rational ground for
despair, the means of happiness for
the human race exist, and it is only
necessary that the human race should
choose to use them. ”
(Bertrand Russel)
Education and the Social Order
P.248
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120
'kks/izfof/%
dL;kfi 'kks/dk;ZL; egÙoa rnk Hkofr] ;nk rsu izLFkkfirfu"d"kZ}kjk
lektL; ykHk% HkofrA 'kks/dk;ZL; lkiQY;a rnk HkforqegZfr ;nk r=k
iz;qDrk% fo/;% lehphuk% HkofUr] vU;Fkk 'kks/drkZ Je≤&/uO;;a
ÑRokfi lE;d~ 'kks/dk;± u drqZegZfrA vr% 'kks/d=kkZ lE;d~'kks/dk;±
lEiknf;rqe~ mi;qDrfof/% p;uh;%A mi;qDrfof/uk fouk iznÙkladyus
fo'ys"k.ks fu"d"kZizfrLFkkius p fo'oluh;rk] lR;rk] oS/rk] O;kogkfjdrk p
u vkxPNfrA
leL;kuka lek/kukUos"k.ks vFkok uwruKkuL; l`"VÔs vk/qfudiz.kkY;k%
b;a fof'k"Vrk ;r~ vL;ka vkxeu&fuxeu;ks% mHk;ksjfi foè;ks% lke×tL;a
fØ;rsA rFkk p vu;ks% lefUor:is vuqiz;ksxL;So ^oSKkfufof/* bfr laKk
iznh;rsA vij'kCns"kq v;eso vuqla/kuL; 'kks/L; ok fof/% dF;rsA
vuqlU/kuL; 'kkfCndks¿;eFkZ% ;r~ & ^dL;kfi fo"k;L; fopkjL; ok
fo"k;s ckjEckja lU/kua y{;a lk/ua ok*A vL; dFkuL; v;esok'k;% ;r~
defi fo"k;a izfr xkEHkh;sZ.k xEHkhjr;k ok fopkj&foe'kSZjsokuqlU/kuL; eq[;k
izÑfr%A
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vuqlU/kua 'kks/a ok ewyr% oSKkfudfo/s% i;kZ; ,o dFkf;rqa 'kD;rsA
dfri;fo}kal% vuqla/kuL; fofo/izdkjs.k O;k[;kuedqoZu~A
dL;kfi leL;k;k% vè;;ukFk± oSKkfudfo/s% vuqiz;ksx ,o
vuqlU/kufefr dF;rsA v;eso mi;qDr&fo'oluh;lwpuk;k% ewylzksr% fo|rsA
vL;ksís';a oSKkfudi¼rhuka ekè;esu lkFkZdiz'ukuka rs"kkeqÙkjk.kk×pkuqlU/kue~
vfLrA rs"kka erefLr ;r~ ;|fi vuqlU/kufof/% fofo/lUnHksZ"kq fofo/fo/huka
ekè;esu lEiÂa drq± 'kD;rs rFkkfi vL; lkoZHkkSekizÑfr% O;ofLFkrs oLrqfu"Bs
p :is fo'oluh;KkuL;kUos"k.kesoe~A
izks- ,e- oekZegksn;kuqlkje~ &
^^vuqlU/kuesdk ckSf¼dhfØ;k ;;k uwruKkuL;kfoHkkZoks HkofrA vFk
p iwoZ=kqVhuka HkzkUr/kj.kk×p ifj"dkjks HkofrA vusu fof/uk KkuL; orZekus
dks"ks Øec¼izdkjs.k o`f¼% HkofrA**
tkWu MCY;w csLVegksn;kuqlkjs.k vuqlU/ku'kCnL; ifjp;s
fyf[krefLr ;r~&^^vuqlU/kuL;kUrxZra fu;fU=krizs{k.kkuka O;ofLFkr;k
oLrqfu"Br;k p jhR;k fo'ys"k.ke~ vfHkys[kc¼:is.k fØ;rsA ;su
lkekU;hdj.kL; fl¼kUrkuka fodkl% lEik|rsA vFk p vL; ifj.kkeLo:ia
?kVukuka HkkO;dFkua rFkk p rklka pjefu;U=k.ka izfr mUeq[khdj.ks
lkgkÕ;eokI;rsA**
vfLeu~ lUnHksZ ,o czwl MCY;w- VdeSuegksn;% vonr~&^^vuqlU/kue~
,rkn`'k% O;ofLFkriz;kl%] ;su ekè;esu iz'ukukeqÙkja nkrqa 'kD;rsA**
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th- ts- ekSyhegkHkkx% vuqlU/kuineR;Ureso Li"Vsu izHkkoiw.kZsu p
fof/uk ifjHkk"k;k×pdkjA rnuqlkje~ & ^^vk/kjlkexz;k% lqfu;ksftr&
lqO;ofLFkr&izdkjs.k lÄïyua] fo'ys"k.ka O;k[;ka p lEik| leL;kuka
fo'oluh;lek/kua izkfIrizfØ;k;k% :is ,o vuqlU/kL; okLrfoda :ia
vocks¼qa 'kD;rsA v;a KkuL; lao/Zuk;] izxrs% Roj.kk;] izfrekuq"ka i;kZoj.ka
izfr izHkkoiw.ksZu fof/uk lEc¼hdj.kk; rL; iz;kstukuka izkI;rs] vUr}ZU}kuka
lek/kuk; p egÙoiw.kZeqidj.kefLr vuqlU/kue~A**
vusu izdkjs.k vuqlU/kuL; izfØ;k vLekda thoukO;oLFkk;ka uSds"kq
{ks=ks"kq iz;qT;rsA ;Fkk oSKkfudn`"VÔk 'kq¼&Li"V&fo'oluh;&Kkudks"kks¿fHko/ZrsA
rFkk p rRlEc¼klq ifjfLFkfr"kq xkspjk.kka fo"k;s"kq p vLekde~ vocks/%
nzqrxR;k izpjsr~] vLekda fopkjs"kq p ,dk lkisf{krk xq.koÙkk fo'kq¼rk p
lekfo"Vk L;kr~A
dL;kfi 'kks/dk;ZL; vkjEHkkr~ iwo± fo/huka izfo/huka midj.kkuk×p
xq.knks"kku~ tkuh;kr~ 'kks/drkZ rnk l% mi;qDrfof/p;ua dfj";frA 'kks/eeZK%
izk;'k% vuqlU/kua f=k/k foHkT;rsA
1- ewyHkwrkuqlU/kue~A
2- o.kZukRedkuqlU/kue~A
3- iz;ksxkRedkuqlU/kue~A
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KkuL; dL;kfi {ks=ks ÑrkuqlU/kuL; fo/;% fuEufyf[krk% lfUr&
1- ,sfrgkfldfof/%A
2- iz;ksxkRedfof/%A
3- nk'kZfudfof/%A
4- dk;Zdkj.kkè;;ufof/%A
5- losZ{k.kfof/%A
ewyHkwrkuqlU/kudk;sZ fl¼kUrkuke~ vfo"dj.ka ifj"dj.ka izfrLFkkiu×p
HkofrA o.kZukRedeuqlU/kus izk;'k% izeq[k?kVukuka ifjfLFkrhuka la[;k¿¿nhuka
o.kZua HkofrA oLrqr% 'kSf{kdkuqlU/kus uSdfo/oSKkfudfo/;% lfUrA dk¿fi
fof/% u vU;Lekr~ fo/s% Js"Brjk] izR;sdL; fo/s% egÙoa i`Fkd~&i`Fkd~
HkofrA fof/p;ua 'kks/dk;ZL; izÑR;kuqlkja HkofrA
3-1 izLrqr'kks/dk;sZ iz;qDr'kks/fof/%
'kks/drkZ 'kks/dk;sZ losZ{k.kfof/a LohdjksfrA vL;k% fo/s% iz;ksxkr~ iwo±
vL;k vFkZfo'ks"kr% lkFkZdrk vko';drk;k% ifjfpr% L;kr~ 'kks/drkZA vr%
v=k losZ{k.kfo/s% laf{kIrifjp;a izfrLFkkI;rsA
losZ{k.kfof/%
'kSf{kdleL;kuka lek/kukFk± losZ{k.kfo/s% iz;ksx% O;kid:is.k HkofrA
vL;k% iz;ksx% LFkkuh;&jkT;Lrjh;&jk"Vªh;&vUrkjkf"Vª;sR;kfn"kq Lrjs"kq
leL;kukeè;;ueusu fof/uk ,o HkofrA vL; dk;Z{ks=kkf.k nÙklÄïyua]
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iznÙklÄïyua] iznÙklkj.kh;ua] iznÙkO;k[;k] rqyuk&ekiua] oxhZdj.ka] ewY;kadua]
lkekU;hdj.k×psR;knhfu orZUrsA b;a fof/% leL;klek/kukFkZeqfprk orZrsA
vL;k% fo"k;s dspu 'kks/eeZKS% izksDre~A ;Fkk&
tkWu MCY;w- csLV &
^^vL;k% fo/s% iz;ksx% izk;'k% ,rkn`'ks"kq vuqlU/kus"kq fØ;rs ;s"kkeqís';a
orZrs ;r~ orZekus lkekU;a ;k izfrfof/fLFkfr% O;ogkja fda orZrs vL;
lEcU/% orZekus mifLFkrfLFkrhuka O;ogkjs fo'okls n`f"Vdks.ks vfHko`fÙkfHk%
orZrs ;k LFkkfirk% fodflrk% lfUrA**
oscLVj'kCndks"k% &
^^okLrfodifjfLFkfrKkukFk± leh{kkRed:is.k voyksdua losZ{k.ka
dF;rsA**
losZ{k.kfo/s% mís';e~
vuqlU/kus losZ{k.kfo/s% izeq[kksís';e~] bnkuhUru{ks=ks leL;k;k% dhn`'ka
Lo:ia Hkofr] vFkkZr~ leL;k;k% ?kVuk;k% ok fooj.ka izLrqrhdj.ka HkofrA
vL; brjksís';kfu fuEuizdkjdkf.k &
♦ 'kSf{kdfu;kstus lgk;rkdj.ke~A
♦ orZekufLFkrs% Li"Vhdj.ke~A
♦ Hkfo";fu;kstus lgk;rkiznkue~A
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;fn losZ{k.kL;k¿;kstue~ mfprjhR;k cqf¼eÙkkiw.kZjhR;k fØ;rs psr~
losZ{k.kdk;Zerho ljya HkofrA
losZ{k.kfo/s% fo'ks"krk%
• vL;k% lEcU/% orZekufLFkfrfHk% lg HkofrA
• b;a foLr`r{ks=kkè;;us vuqlU/kulksikua lE;d~ vuqljfrA
• vL;k% Ñrs fof'k"Va dYiukiw.kZ×p fu;kstueko';da orZrsA
• vu;k oSKkfudfu;ek% u izfrLFkkI;Urs] vfirq leL;k;k% lek/kukFk±
mi;ksfxlwpuk% LohfØ;UrsA
• b;eUrekZuoh;lEcU/kuka HkkohfodklØea izfr y{;hdjksfrA
• vu;k losZ{k.ka xq.kkReda la[;kRed×p Hkforqa 'kD;rsA
losZ{k.kfo/s% egÙoe~
♦ dL;kfi leL;k;k% okLrfodifjfLFkrs% Kkue~A
♦ rkRdkfydifjfLFkrhukeoyksdue~A
♦ vL;ka iznÙkkuka fo'oluh;rk lekf/dk HkofrA
♦ oSKkfudlksikueuqljfr b;e~A
♦ foLr`r{ks=kkè;;us vf/dksi;ksxh fo|rsA
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3-2 iz;qDrpjk%
dfLeÂfi 'kks/dk;sZ pjk.kka egÙoiw.k± LFkkua HkofrA pj% lks¿fLr ;L;
ekua ifjofrZra Hkofr] ;Fkk ukEuSo Li"Va HkofrA ^pj* bR;L; rkRi;± dL;kfi
tuL;] oLrqu% ?kVuk;k'p rS% xq.kS% Hkofr] ;S% ekiua drq± 'kD;rsA
'kSf{kd'kks/dk;sZ fofo/izdkjdk.kka pjk.kka iz;ksxks HkofrA eq[;r% pjizdkjk%
fuEufyf[krk% HkofUr&
1- LorU=kpj%
LorU=kpj% l% pjks Hkofr ;L; ewwY;s"kq iz;ksxdrkZ ifjorZua
djksfr] ,o×p vL; ifjorZuL; izHkkoe~ vkfJr&pjL; mifj
voyksd;frA
2- vkfJrpj%
vkfJrpj% l% Hkofr ;L; fo"k;s iz;ksxdrkZ fdefi iwoZdFkua
drqZfePNfrA vL; uke vkfJr pj ,rnFkZefLr ;r~ vfLeu~ pjs vkxra
ifjorZua LorU=kpjL; ifjorZudkj.kknso HkofrA
3- vlaxrks eè;LFkks ok pj%
,rs pjk% vkfJrpja izHkko;fUrA mfprizfrn'kZuizfof/uksi;qDrsu
'kks/kfHkdYisu p ,rs"kka pjk.kka izHkkoku~ U;wuhdrq± 'kD;rsA
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izLrqr 'kks/dk;sZ"kq =khf.k pjkf.k lfUr &
1- ekufld;ksX;rkA
2- vè;;uizo`fÙk%A
3- 'kSf{kdksiyfC/%A
3-3 U;kn'kZfu/kZj.ka p;u×p
O;kogkfjds"kq lkekftds"kq pkè;;us"kq izk;% U;kn'kZ}kjk izkIrkuka
fu"d"kkZ.kkek/kjs.kSo lkekU;hdj.ka fo/h;rsA dL;fpnfi euksoSKkfudL;
rF;L; ekuoh;L; ok lR;kiuk; iw.kZL; ^lexzL;* (lewgL;) vè;;ua
vlEHkkfoA vln~ vfi dfBueo';eso HkofrA vrks¿f/dka'kr% U;kn'kZ}kjSo
ÑR;a fu:g~;rsA ,rn~n`"VÔk lkekftdkukeè;;u{ks=ks U;kn'kksZ egÙoiw.k± LFkkua
fcHkfrZA
'kks/drkZ ;nk 'kks/dk;± izkjEHkrs rnk rL; iqjr% ,dk leL;k
Hkofr] rL;k% lek/kue~ vUos"Vqa l% lEiw.k± 'kks/dk;± fon/kfrA ija rL;k%
leL;k;k% lek/kukFk± rL; ik'osZ fuf'prek=kk;ka le;% /u×p HkforO;e~A
rfLeÂso le;s 'kks/d=kkZ Loh;a lek/kua izLFkkrO;e~ vfi p /uefi
lhfereso HkofrA /ua fouk oqQ=k 'kks/dk;Zfefr dL;k vfi leL;k;k%
lek/kukFk± 'kks/dk;ZL; lEcfU/rlEiw.kZ{ks=kL;kè;;ua fo"k;L;ko';drk&
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n`"VÔksi;ksfxrkn`"VÔk¿o';da orZrsA vusuSo 'kks/dk;ZL;ksís';kfu lE;Dr;k u
iw;ZUrsA vr% 'kks/d=kkZ lEcfU/rlEiw.kZ{ks=kL;kè;;ua dÙkZO;esoA
ijesrkofRo'kky{ks=kL;kè;;ua u dsoya dfBuefirq vO;ogkfjdefi
fo|rsA vusukf/da le;O;;% /uO;;% rq HkoR;so vfi p fujFkZd% JeO;;%
vfi HkofrA rka leL;ka nwjhdrqZeqik;% vis{;rs 'kks/drkZA v=k ;fn o;a
yskdO;ogkja foyksd;ke% rfgZ vL;k% leL;k;k% lek/kua izkIrqa 'kDuqe%A ;Fkk
dks¿fi vksnuikpd% ;nk vksnua ipfr rnk vksnufl¼s% KkukFk± rLekr~ f}&f=k
ok r.Mqyku~ mRFkk; vuqeh;rs vksnuikd% fl¼ks u ok bfrA v;eso Hkofr
LFkkyhikdU;k;% bfr ije=k LFkkyhikdU;k;% u rkn`'k mi;qDr% ;kn`'k%
yksdO;ogkjsA v=k ukfLr vksnuikdln`'kh ifjfLFkfr% ;rks fg v=k ukfLr
rkn`'ka lkekU;a ;kn`d~ vksnuikds vklhr~A vr% v=k iznÙklÄïyueR;Urnq"dja
dk;± orZrsA v=k 'kks/eeZKS% dspu~ 'kks/lEcfU/riznÙkladyukFk± fo/;%
izLFkkfirk%A
iznÙklÄïyufof/H;% izkd~ iznÙkladyulzksrlka fo"k;s KkrO;a] rnk o;a
lE;Dr;k iznÙkladyua KkL;ke%A v=k iznÙk&izÑfrfo"k;s Kkrqa izk;'k% fof/};a
vuqfØ;rsA
1- tula[;ki¼fr% (Census Method)
2- fun'kZufof/% (Sampling Method)
tula[;ki¼fr%
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129
tula[;ki¼R;ka lEiw.kZ{ks=kL; vè;;ua HkofrA ,"kk i¼fr% lEiw.kZr;k
lg HkofrA vL;ka leL;k;k% lek/kukFk± leL;klEcfU/ra lEiw.kZ{ks=ka x`ársA
;Fkk dL;ka xks.;ka ek"kk.kka ek=kkKkukFk± ,dL;&,dL; ek"kL; x.kuk dj.kh;k
HkofrA fof/j;a Jelkè;% O;;lkè;'pA
fun'kZui¼fr%
vL;ka i¼R;ka leL;k;k% lek/kukFk± lEiw.kZ{ks=kkr~ fdf×pr~ Hkkxa
LohfØ;rs] ija l% Hkkx% lEiw.kZ{ks=kL; izfrfuf/iw.kZ% L;kr~A ;Fkk&vksnuikds
dL;kfi r.MqyL; vk/kjs.k ikdfl¼s% vuqekufefrA
U;kn'kZi¼R;ka JeO;;% le;O;;'p u Hkforqa 'kD;rs] ;rks á=k
vYixzg.kkr~ lEiw.kZfo"k;s vuqekua HkofrA ,"kk i¼fr% y?kks% c`gr~ izfr
xPNfrA rL;k% ,rr~ oSf'k"VÔa foyksD; rFkk u iwoZÑr'kks/dk;kZ.kkek/kjs.k
'kks/dk;± U;kn'kZi¼fr% LohfØ;rs ije=k la'k;%] ;r~ fda uke U;kn'kZ% bfrA
v=k 'kks/eeZKkuka era izLFkkI;Urs&
U;kn'kZL; ifjHkk"kk
djfyÄõj% &
^U;kn'kZ% tula[;kr% vFkok yksdr% uhr% rkn`'kHkkx% Hkofr ;%
lEiw.kZtula[;k;k% izfrfuf/Roa djksfrA*
xqM ,oa gkV% &
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^U;kn'kZ% ;Fkk ukEuk ,o izrh;rs ;r~ fo'kkylewgL; y?kq%
izfrfuf/%A*
mijksDrifjHkk"kkuqlkja oDrqegZfr ;r~ U;kn'kZ% lexzL; rkn`'k% Hkkx%
Hkofr] ;% lexzL; izfrfuf/Roa djksfrA
U;kn'kZL; vko';drk
U;kn'kZL; oLrqr% 'kks/dk;sZ egÙoiw.k± LFkkua HkofrA rL; eq[;r%
dk;± Hkofr lexzfo"k;s lkekU;hdj.kL; izfrLFkkiue~A ;Fkk dL;kfi
'kks/dk;ZL; rF;kRedleL;k orZrsA r=k losZ"kkeè;kidkuka leL;k;k% vè;;ua
u lEHkofr] r=k ds"kkf×pr~ vè;kidkuka p;ua U;kn'kZ:is.k djksfr 'kks/drkZ]
rs HkofUr U;kn'kkZ%A rs"kkeè;;uk/kjs.k leL;k;k% lek/kue~A v=k dkf'pr~
vko';drk% miLFkkI;rs 'kks/drkZA
• vuqlU/kuL; oSKkfudk/kj% iznh;rsA
• dk;ZL; lhekfu/kZj.kkFkZeko';da fo|rsA
• le;L; /uL; JeL; p O;;% u HkofrA
• lEiw.kZtula[;kfo"k;s lkekU;hdj.kL; vk/kj%A
• leL;k&lek/ku;ks% vk/kj%A
• vuqlU/kus fo'oluh;rk mRFkki;frA
• lhferle;s fu"d"kZizfrLFkkiukFkZe~A
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• vuqlU/kuL; fn'kkfunsZ'kuiznkuk; vko';de~ HkofrA
• vuqlU/kus oS/rke~ vku;frA
U;kn'kZL; izdkj%
1- lEHkkO;U;kn'kZ% (Probability sampling)
2- vlEHkkO;U;kn'kZ% (Non- Probability sampling)
lEHkkO;U;kn'kZ%
lexzL; ;% Hkkx% ;fLeu~ U;kn'ksZ lexzfo"k;s fdefi lkekU;hdj.ka
drq± 'kD;rs] l% U;kn'kZ% ^lEHkkO;U;kn'kZ* bfr dF;rs vFkok ;% Hkkx%
;fLeu~ lexzL; losZ xq.kk% HkofUr l% lEHkkO;U;kn'kZ% HkofrA
vlEHkkO;U;kn'kZ%
lexzL; ;% Hkkx% ;L; vk/kjs.k lexzfo"k;s fdefi lkekU;hdj.ka
u drq± 'kD;rs l% ^vlEHkkO;U;kn'kZ* bfr mP;rs vFkok ;fLeu~ Hkkxs lexzL;
losZ xq.kk% u HkofUr l vlEHkkO;U;kn'kZ% HkofrA mHk;ks% p;us fofo/fo/;%
vuqljfUr] 'kks/fo'ks"kKk%A v=k dkfpf}/;% izfrLFkkI;Urs] 'kks/d=kkZA
U;kn'kZp;uL; fo/;%
U;kn'kZp;us lEHkkO;U;kn'kZL; vlEHkkO;U;kn'kZL; p fo/;%
i`Fkd~&i`Fkd~ lfUrA oLrqr% U;kn'kZp;ufo/;% 'kks/dk;ZL; izÑR;kuqlkja
HkofUrA v=k 'kks/d=kkZ mHk;ks% i`Fkd~&i`Fkd~ fo/;% izLFkkI;rs bfrA
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lEHkkO;U;kn'kZ%
• ;kn`fPNdU;kn'kZfof/%A
• ykWVjh fof/%A
• fuf'prØefof/%A
• fVfiV vÄïfof/%A
• fxzMfof/%A
• Lrfjr;kn`fPNdfof/%A
• xqPNU;kn'kZfof/%A
• O;ofLFkrU;kn'kZfof/%A
;kn`fPNdU;kn'kZfof/% (Random sampling)
vfLeu~ fo/kS 'kks/d=kkZ dLeknfi Hkkxkr~ iznÙkkuka p;ua LohfØ;rsA
vfLeu~ dL;kfi HkkxL; p;ua Hkforqa 'kD;rsA vr% la;ksxizk/kU;a fof/j;a ija
vfLeu~ p;us ,rr~ è;krO;a ;r~ p;furHkkx% lEiw.kZHkkxL; izfrfuf/iw.kZ%
L;kr~A izk;'k% 'kks/drZ̀fHk% ,"k% fof/% vuqfJ;rsA
ykWVjhfof/%
vfLeu~ fo/kS lexzL; izR;sdL; ^bdkbZ* vL; ys[kua ds"kqfpr~
dxZn[k.Ms"kq HkofrA defi O;fDr us=ka fuehY; ds"kkf×pr~ dxZn[k.Mkuka
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p;ukFk± dF;rsA vusu fof/uk ;L; p;ua Hkofr] ra U;kn'kZ:is.k LohfØ;rs
'kks/d=kkZA
fuf'prØefof/% (Sequential List method)
vfLeu~ fo/kS 'kks/drkZ lexz ^bdkbZ* bR;srs"kkesdklwpha fuekZfrA
rnuUrjesdfuf'prØes.k ^bdkbZ* bR;srs"kka p;ua djksfr ;Fkk 100 Nk=kk.kka
izR;sdL; n'keNk=kL; U;kn'kZ:is.k LohfØ;rs] rfgZ 100 lwpheè;s izR;sd&
n'keNk=kL; p;ua Hkfo";fr] ;Fkk 10 Nk=kk% 20 Nk=kk% bR;kn;%A
fVfiV&vÄïfof/%
^fVfiV* egksn;su lEHkkO;U;kn'kZp;ukFk± la[;kuke~ ,dk lwph fufeZrk]
rnk/kjs.k iznÙkkuka p;ua HkofrA
fxzMfof/%
vfLeu~ fo/kS iwoZfufeZr ^dk¡p* [k.Mk/kjs.k U;kn'kZp;ua djksfr
'kks/drkZA
Lrfjr;kn`fPNdfof/% (Stratified Random Sampling)
;nk lexzL; vkdkj% c`gr~ Hkofr rnk loZizFkea lexza fofHkÂLrjs"kq
foHkT;rs rRi'pkr~ izR;sdLekr~ Lrjkr~ i`Fkd~&i`Fkd~ izfrn'kZL; p;ua HkofrA
;Fkk&uj] ukjh }kS LrjkS] f'k'kq% ckyd% fd'kksj% cgqLrjk%A
xqPNU;kn'kZfof/% (Culster Sampling)
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v;a fof/% rnk iz;qT;rs ;nk tula[;k c`gnkdkjk Hkofr rFkk p
rL;k% izlkj% vifjfer% Hkofr] rnk U;kn'kZp;ukFk± 'kks/d=kkZ loZizFkea
lexzL; xq.k vFkok fo'ks"krk/kjs.k dkfu xqPNkfu fuehZ;Urs] rk% fo'ks"krk%
HkkSxksfyd{ks=k&lkekftd{ks=ks.k p lEcfU/rk% HkofUrA rRi'pkr~ ;kn`fPNd~
fof/uk izR;sdLekr~ xqPNkr~ U;kn'kZp;ua HkofrA
O;ofLFkrU;kn'kZfof/% (Systimatic Method)
vfLeu~ fo/kS 'kks/drkZ lexzL; vkÑR;ka vkuqikfrd&lEcU/a fuf'pra
djksfr] ;Fkk 1000 la[;kRedkr~ lexzkr~ 100 U;kn'kZL; p;ua dj.kh;a
fo|rs] rfgZ vfLeu~ fo/kS izR;sdfLeu~ n'klewgs ,dNk=kL; p;ua lqfuf'pra
HkofrA vr% lexzfo"k;s 1%10 vuqikra HkofrA
vlEHkkO;U;kn'kZ%
• lksís';U;kn'kZfof/%A
• ;Fkka'kfof/%A
• vkdfLedfof/%A
lksís';fof/% (Purposive Sampling)
vfLeu~ fo/kS 'kks/drkZ 'kks/dk;ZL; vko';drk/kjs.k U;kn'kZL; p;ua
djksfrA 'kks/drkZ rs"kkeso U;kn'kZ:is.k Lohdjksfr ;S% 'kks/dk;ZL; leL;k;k%
lek/kua HkofrA
;Fkka'kfof/% (Quata Method)
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v;a fof/jfi lksís';fof/&ln`'k bo orZrs] ;rks fg vfLeu~ 'kks/drkZ
LoKkuk/kjs.k ;a Hkkxa lexzL; izfrfuf/iw.k± tkukfr] reso U;kn'kZ:is.k
LohdjksfrA
vkdfLedU;kn'kZfof/%
vfLeu~ fo/kS 'kks/drkZ vuqlU/kuleL;k;k% lEcfU/ra U;kn'k±
LohdjksfrA rnk 'kks/drkZ Loko';drkuqlkja U;kn'kZp;ua djksfrA
mijksDrfo/;% lfUr] rku~ vkfJR; 'kks/drkZ Loh;a 'kks/dk;±
djksfrA v=kkfi 'kks/d=kkZ lEHkkO;U;kn'kZL; p;us liz;kstuekuq"kfÄõdizfrp;u&
izfof/% LohfØ;rsA rsu 'kks/drkZ U;kn'kZL; p;ua dfj";frA
'kks/s iz;qDrU;kn'kZfof/%
'kks/dk;sZ 'kks/drkZ mís';kuq:is.k ;kn`fPNdfof/uk fnYyhLFk
ds"kk×pu ijEijkxrk/qfudfo|ky;kuka p;ua Ñroku~A rnuUrja liz;kstuekuq&
"kfÄõdizfrp;uizfof/% (PURPOSIVE INCIDENAL SAMPLING)
ekè;esu ijEijkxrk/qfudfo|ky;kuka uoe ,o×p n'ked{kk;k% Nk=kk.kka
ekufld;ksX;rk&vè;;uizo`fÙk%&laLÑr'kSf{kdksiyC/s% rqyukRedeè;;uk;
p;ua Ñroku~A
rkfydkla[;k 3-1
U;kn'kZL; lajpuk
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Ø-la- fo|ky;% U;kn'kZ%
1- ijEijkxrfo|ky;% 200
2- vk/qfudfo|ky;% 200
rkfydkla[;k 3-2
fo|ky;kuke~ ,o×p Nk=kk.kka p;ue~
Ø-la- ijEijkxrfo|ky;uke Nk=kla[;k
1- JhlarukxikylaLÑregkfo|ky;% ,o×p 'kks/laLFkkue~]
NÙkjiqj] uonsgyh
40
2- Jhen~n;kuUn&osnk"kZegkfo|ky;%] xkSreuxj] uonsgyh 40
3- JheksrhukFklaLÑregkfo|ky;%] jes'kuxje~] uonsgyh 40
4- JhguqekulaLÑregkfo|ky;%] j?kqohjuxje~] uonsgyh 40
5- vkn'kZlaLÑrfo|ky;%] olUrxzke] uonsgyh 40
vk/qfudfo|ky;uke
1- vkpk;Zrqylhjktdh;ckyofj"Bekè;fedfo|ky;%]
NÙkjiqj] uonsgyh
40
2- jktdh;lgf'k{kkmPprjekè;fedfo|ky;%] lqYrkuiqj]
uonsgyh
40
3- jktdh;ckyofj"Bekè;fedfo|ky;%] f?kVksjuh]
uonsgyh
40
4- jktdh;lgf'k{kkmPprjekè;fedfo|ky;%] vk;kuxje~] 40
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uonsgyh
5- jktdh;ckyofj"Bekè;fedfo|ky;%] lekydk]
uonsgyh
40
lEiw.kZ;ksx% 400
3-4 'kks/ksidj.kkfu
'kks/d=kkZ 'kks/leL;ka fuewZyhdrq± izkjEHks mís';kfu fu'ph;UrsA
rnk/kjs.kSo ifjdYiuk% izfrLFkkI;Urs] rr% rklka ijh{k.kkFk± 'kks/izk:ik%
fuehZ;UrsA rfLeu~ l% 'kks/dk;ZL; izÑR;kuqlkja fo/huka p;ua djksfrA rr%
ifjdYiukuka ijh{k.kkFk± iznÙkladyua djksfrA iznÙklÄïyua rnk ,o lE;d~
Hkofr] ;nk rL; lÄïyueqfprksidj.kS% L;kr~A
izR;sdfLeu~ 'kks/dk;sZ rF;iw.kZlkexzh.kka p;us midj.kfu/kZj.ke~
vR;Urko';da HkofrA iznÙklÄïyue~ uSdfo/lzksrsH;% HkofrA leL;klek/kukFk±
dkfufpr~ ;U=kkf.k mi;qT;Urs] rkfu ,o midj.kkfu vfHk/h;UrsA 'kks/drkZ
midj.kkuka iz;ksxfo"k;s fuiq.k% L;kr~A rL; Ñrs vuqlU/krq% midj.kkuka
fo'ks"krklhekfo"k;s Kkua lE;d~ L;kr~] rnSo 'kks/dk;± xq.koÙkkiw.k± Hkforqa
'kD;rs ukU;FkkA
'kks/dk;sZ midj.kp;us 'kks/izÑR;kuqlkja HkofrA midj.kp;ukRiwo±
midj.kfo"k;s lE;Dr;k KkrO;a vLekfHk%A 'kks/eeZKS% fofo/ksidj.kkuke~
mYys[k% fØ;rsA rkfu midj.kkfu fuEu:is.k oxhZfØ;Urs&
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midj.kkuka oxhZdj.ke~
1- vUos"k.ki=ke~
• iz'ukoyh
• vuqlwph
• pSdfyLV
• xq.kkadi=ke~
• vfHko`fÙkekiuh
• fu/kZj.kekiuh
2- fujh{k.ke~
3- lk{kkRdkj%
4- lektfefr%
5- euksoSKkfudijh{k.ke~
• fu"ifÙkijh{k.ke~
• vfHk#fpijh{k.ke~
• cqf¼ijh{k.ke~
• #fpijh{k.ke~
• O;fDrRoijh{k.ke~
v=k ds"kkf×pr~ midj.kkuka ifjp;% izLrw;rs 'kks/d=kkZA
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iz'ukoyh
iz'ukoY;ka iz'ukuka vFkok dFkukuka O;ofLFkrØe% orZrsA ;=k
lwpuknkrk Lo;eso rs"kq LokfHkera nnkfrA v=kksP;rs ;axegksn;su & ^iz'ukoyh
,rkn`d~ izi=ka orZrs ;=k lwpuknkrk Lofo"k;s fyf[kRok ifjp;a nnkfrA*
xq.kk%
• vL; vadua ljya HkofrA
• foLr`r{ks=kk.kka iznÙkladyus mfpra HkofrA
• vL;ka lwpuknkrk lwpuka fyf[kRok nnkfrA
• iz'ukoY;ka lwpukiznkukFk± Ik;kZIrkodk'k% HkofrA
izdkjk%
• lajpuk;qDr%A
• lajpukfoghu%A
• fefJr%A
nks"kk%
• vL;ka iz'uk% izfrfuf/iw.kkZ% u HkofrA
• vL;k% iz;ksx% dsoya f'kf{krkuka Ñrs mi;qDr%A
• iz'ukoY;ka izR;kxeuL; leL;k% HkofUrA
• iz'ukoY;k% lkiQY;a lwpuknkrqeqifj vf/da HkofrA
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vr% 'kks/drkZ xq.knks"kku~ voxE; ,o vL; midj.kL; iz;ksx%
dÙkZO;%A
vuqlwph
vuqlwph iznÙkladyuL; izR;{klk/ua orZrsA vL;ka 'kks/drkZ
vuqlU/ku{ks=ka xRok fujh{; p iznÙkkuka ladyua djksfrA vL;ka 'kks/drkZ
lwpuknkrkja iz'ua i`"V~ok mÙkjkf.k fy[kfrA v=k xqM rFkk gkVegksn;kH;ka
izksDre~&^vuqlwph'kCnL; iz;ksx% lkekU;r;k iz'ukuka lewgkFk± iz;qT;rs] ;ku~
iz'uku~ 'kks/drkZ vU;O;Drhuka le{ks lwpuknkrkja i`PNfr*A
izdkjk%
v=k ;axegksn;su oxhZdj.ka izfrLFkkI;rs &
• fujh{k.kkuqlwphA
• ewY;kÄïukuqlwphA
• laLFkklosZ{k.kkuqlwphA
• lk{kkRdkjkuqlwphA
xq.kk%
• 'kks/drkZ Lo;eso iznÙkladyua djksfrA
• lwpuknkrq% le{ks mÙkjkf.k fy[kfr 'kks/drkZA
• vu;k izkIrk% lwpuk% fo'oluh;k% HkofUrA
nks"kk%
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• izfrfuf/iw.kZiz'ukukeHkko%A
• vf/dle;% /u×p vis{krsA
• lEidZleL;k HkofrA
• foLr`r{ks=kk.kka Ñrs uksfprkA
'kks/d=kkZ nks"kk% ifjgk; ,"kk 'kks/dk;sZ iz;ksDrO;kA
pSdfyLV
vL;k% Lo:ieuqlwphln`'keso orZrs] ijefLeu~ erLFkkius LokrU=;a
ukgZfr lwpuknkrkA lwpuknkrk dsoyeqfYyf[krs"kq rF;s"kq izfrfØ;klq p fpÉeso
nnkfrA
fujh{k.ke~
vfLeu~ 'kks/drkZ leL;ka lE;d~ voyksD; rL;k% fo"k;s vkdyue~
djksfrA
lk{kkRdkj%
;nk dL;kfi leL;k;k% fo"k;s O;fDr};efHkeq[khHkw; fuf'prksís';a
LohÑR; okrkZykia dq#r% l% ^lk{kkRdkj%* bfr ins vkV~VhdrsA v=k tkWu-
MCY;w- csLVegksn;su izksDre~&^lk{kkRdkj% iz'ukoyhln`'kh ,dk
ekSf[kdiz'ukoyh orZrsA ;L;ka lwpuknkrk mÙkjys[kukis{k;k ekSf[kdksÙkja nnkfrA
lektfefr%
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v=k gsyugkytSfuaXlegksn;su fuxfnre~&^lektfefrfo/s% rkn'̀kkuke~
vè;;ukuka o.kZua Hkofr ;s"kka fo"k;oLrq dL;kfi lewgL; O;Drhukekd"kZ.k&
fod"kZ.kSLlg lEcfU/ra HkofrA*
euksoSKkfudijh{k.ke~
euksoSKkfudijh{k.kkfu rkfu HkofUr ;kfu lwpuknkr¤.kka ekufldLrjs.k
lEcfU/rkfu HkofUrA v=k lwpuknkrq% dk;sZ"kq fu/kZfjreÄïa iznh;rs 'kks/d=kkZA
lkekU;r;k midj.kkuka jpuk/kjs.k f}fo/oxhZdj.ka fØ;rs&
1- ekudhÑrksidj.ke~A
2- LofufeZrksidj.ke~A
1. ekudhÑrksidj.ke~ & rn~ Hkofr ;L; eè;ekua ekudfopyu×p
iwoZfu/kZfjra Hkofr] vfi p oS/rk] fo'oluh;rk] foHksndrk]
dkfBU;Lrj'p fuf'pr% HkofrA oLrqr% vfLeu~ midj.ks
midj.kL; losZ xq.kk% HkofUrA
2. LofufeZrksidj.ke~ & midj.kfena 'kks/d=kkZ Loko';drkuqlkja fuehZ;rsA
vfLeu~ 'kks/leL;k;k% mís';kuqlkja iz'uku~ fuekZfr vuqlU/krkA
oLrqr% vfLeu~ 'kks/leL;k;k% losZ ?kVdk% lekfgrk% HkofUrA
vfLeu~ midj.kL; O;kogkfjdxq.kk% HkofUrA
dL;kfi midj.kL; dsfpr~ xq.kk% HkofUr] rS% fouk lE;d~
midj.kfuekZ.ka u HkofrA vr% rkÂfi Kkuh;kr~ 'kks/drkZA
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midj.kxq.kk%
midj.kL; ;nk fuekZ.ka djksfr 'kks/drkZA rnk rL; xq.kkuka fo"k;s
lE;Dr;k tkuh;kr~] vU;Fkk lE;d~xq.koÙkkiw.kksZidj.kfuekZ.ka u HkofrA
,rkn`'ksu midj.ksu mfpra iznÙklÄïyuL; vk'kk fuEco`{kkr~ vkezL; vk'kk
ln`'kh HkofrA vr% 'kks/ksidj.kkuka p;ukr~ fuekZ.kkPp iwo± rs"kka xq.kk%
voxUrO;k%A v=k 'kks/d=kkZ dsfpr~ midj.kxq.kk% miLFkkI;UrsA
oLrqr% xq.kk% f}/k foHkT;rs] 'kks/eeZKS% &
1. O;kogkfjdxq.kk%
• U;k;;qDrrkA
• xfr'khyrkA
• l{kerkA
• larqyue~A
• O;kogkfjdrkA
2. rduhdh;xq.kk%
rduhdh;xq.kk% rs xq.kk% HkofUr] ;s xf.krh;dk;Z}kjk fu'ph;Urs&
• OkS/rkA
• fo'oluh;rkA
• foHksndrkA
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• oLrqfu"BrkA
• dkfBU;Lrj%A
• ekud%A
rduhdh;xq.kk% rs HkofUr] ;s midj.kL; xf.krh;;ksX;rka
izfrLFkki;fUr rduhdh;xq.kk% uSdfo/k% HkofUrA 'kks/d=kkZ dsfpr~ rduhdh;&
xq.kk% izLFkkI;Urs v=kA
oS/rk (Validity)
dL;kfi midj.kL; fuekZ.kle;s lokZf/da egÙoiw.k± iz'ua Hkofr] ;r~
midj.kL; fuekZ.ka vL;k% ;ksX;rk;k% ekiuk; fufeZrefLrA rL;k% ekiua
djksfr u okA oS/rk;k% lEcU/% midj.kL;ksís';izkIR;k lg HkofrA ;fn
midj.ka rnqís';a izkIuksfr] ;L; Ñrs rL; fuekZ.keHkoÙkfgZ rnqidj.ka oS/rkiw.k±
HkofrA oS/rkfo"k;s fo}fn~Hk% izksDre~ &
ØksuoSd &
^oS/rk lk lhek fo|rs] lk rL;So ekiua djksfr] ;L;k% Ñrs rL;
fuekZ.keHkor~A*1
izQheSu &
^oS/rk rL; lwpdkÄïL; ek=kka izfrLFkki;fr ;L;ka ek=kk;ka ijh{k.ka]
rYy{;a eki;fr ;L; Ñrs rL; fuekZ.keHkor~A*2
1 Validity is the extent to which a test measures what is purpose to measure.
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lkjka'kr% oDrqa 'kD;rs ;r~ oS/rk;k% lEcU/% ijh{k.kL;ksís';;ksX;r;k
lg vfLrA oS/rk}kjk ,o Kk;rs ;r~ midj.ka iwoZfu/kZfjrksís';a izkIuksfr u okA
oS/rk;k% izdkj%
1- :ioS/rk (Face validity)
2- fo"k;xroS/rk (Content validity)
3- rkfdZdoS/rk (Logical validity)
4- iwoZdFkuoS/rk (Pridictive validity)
5- dkjdh;oS/rk (Factorial validity)
mijksDrfof/}kjk 'kks/drkZ midj.kL; oS/rka tkukfrA oS/rk
midj.kL; egÙoiw.kZxq.k% fo|rsA
fo'oluh;rk (Reliability)
f}rh;% rduhdh;xq.k% orZrs fo'oluh;rkA midj.kL;
fo'oluh;rk;k% lEcU/% izkIrkÄïLFkkfirRosu lg fo|rsA midj.kL;
fo'oluh;rk lwp;fr ;r~ midj.ka eqgqeqZgq% iz'kkl;sr~ u osfrA ;fn rLekr~
izkIrkÄïs"kq LFkkf;Roa Hkofr] rfgZ rfLeu~ midj.ks fo'oluh;rkxq.k% HkofrA
oLrqr% midj.kL; fo'oluh;rk;k% lEcU/% izkIrkÄïkuka lÄõr;k lg HkofrA
2 A index of validity shows the degree to which a test measure what it purpose to
measure when compared with accepted criterion.
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fo'oluh;rk Kki;fr ;r~ izkIrkÄï% fd;r~ lheki;ZUra pj=kqfVr% eqDrks¿fLrA
fo'oluh;rk;k% fo"k;s 'kks/eeZKS% fofo/izdkjs.k of.kZrefLrA
fxYiQksMZ &
^fo'oluh;rk ijh{k.kizkIrkads"kq lR;izlj.kL; vuqikr% fo|rs*A
vukLrslh &
^ijh{k.kL; fo'oluh;rk;k% vfHkizk;% fHkÂ&fHkÂkoljs"kq vFkok
lerqY;inkuka fHkÂ&fHkÂfoU;kls"kq dsukfi O;fDruk izkIrkadL; laxfr% orZrs*A
mijksDrdFkusu izrh;rs ;r~ fo'oluh;rk;k% lEcU/% izkIrkÄïkuka
lÄõr;k vFkok iqu#Rikndr;k lg fo|rsA fo'oluh;rk;k% Kkuk;
'kks/fo'ks"kKS% dsfpr~ fo/;% lwfprk%A rs fo/;% v=k izfrLFkkI;Urs 'kks/d=kkZA
fo'oluh;rk;k% fo/;%
1- ijh{k.k&iquiZjh{k.ke~ (Test-Retest)
2- lerqY;ijh{k.ke~ (Equivalent Forms)
3- v¼ZfoPNsnfo'oluh;rk (Split-Halfs)
4- rkfdZdlerqY;fo'oluh;rk (Rational-Equevalence validity)
ekud% (Norm)
midj.kL; ,dk egÙoiw.kkZ fo'ks"krk Hkofr ekud%A midj.kfuekZrk
;nk midj.ka fuekZfr rn~le;s midj.kL; ekud% fu/kZj;frA rnk/kjs.k
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midj.k}kjk lax`ghriznÙkkuka O;k[;k fØ;rs fuekZ=kkA ekud% midj.kL;
lUnHkZfcUnq% Hkofr] rn~}kjk izkIrkÄïL; rqyuk djksfr l%A v=k
bZfoyegksn;suksDre~ & ^dL;kfi ijh{k.kL; ekud% cks/;fr ;r~ dL;kfi
lewgL; lnL;S% ijh{k.ks dFke~ vÄïk% izkI;UrsA*
mijksDrdFkusu izrh;rs ;r~ ekud% midj.kL; lUnHkZfcUnq% ln`'k%
Hkofr] ;su izkIrkÄïkuka O;k[;k fØ;rsA vL; lEcU/% okLrfodr;k lg
Hkofr] vL; fu/kZj.ka fuekZ=kk fØ;rsA ekudL; dfrfpr~ izdkjk% 'kks/fo'ks"kKS%
LohfØ;UrsA
1- vk;qekud% (Age Norm)
2- d{kkekud% (Grade Norm)
3- 'krka'kh;ekud% (Perantile Norm)
4- izekihÑrekud% (Standardized Norm)
foHksndrk (Discrimination)
midj.kL; iz'ufuekZ.ks 'kks/drqZ% eufl ,d% egÙoiw.kZ% fopkj%
vkxPNfr] ;r~ midj.ks fofgriz'uk% Nk=ks"kq ;ksX;rkuqlkja foHksna dfj";fUr u
ok] lk Hkofr foHksndrkA foHksndrk dfu"BJs"B;ks% foHksnua djksfrA vL;
lEcU/ksidj.kL; foHksnu;ksX;r;k lg HkofrA ;fn midj.ka Nk=ks"kq lE;d~
foHksnua djksfr] rfgZ rfLeu~ foHksnu;ksX;rk HkofrA vr% midj.kfuekZ.ks
fuekZ=kk vL;k% fo"k;s vfi è;kua nkrO;e~A
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dkfBU;Lrj% (Defficulty Level)
midj.kL; xq.kks¿;a iz'ufuekZ.ksu lEc¼%A ;fn midj.ks
lfÂfgriz'ukukeqÙkjkf.k losZ iz;ksT;k% nnfr] rfgZ midj.ks dkfBU;ewY;L;
(Defficulty Value) vHkko% HkofrA vr% fuekZ=kk midj.kfuekZ.kle;s ,rr~
eufl vo/kj;sr~] ;r~ iz'ukukeqÙkjkf.k losZ u n|q%A
'kks/dk;sZ iz;qDrksidj.kkfu
'kks/dk;± lEiknuk; midj.kkfu egUegÙoa fun/frA izLrqr&
'kks/dk;ZlEiknuk; midj.kRosu ijEijkxrk/qfudNk=kk.kka ekufld;ksX;rkUrxZrs
rs"kka Le`fr%] 'kkfCnd;ksX;rk] v'kkfCnd;ksX;rk] vè;;uizo`fÙk% p vkxPNfrA
vfi p 'kSf{kdksiyC/huka rqyukRedkè;;uk; i×p'kks/ksidj.kkuka iz;ksx% Ñr%A
r|Fkk&
1- Le`frijh{k.ke~ (LofufeZre~)
2- 'kkfCnd;ksX;rkijh{k.ke~ (IMTISUNGBA AO - KOHIMA)
fgUnhotZue~
3- v'kkfCnd;ksX;rkijh{k.ke~ & Mk- vkj- ds- vks>k] Mk- ds- vkj- pkS/jh
}kjk fufeZre~A
4- vè;;u&vknrijh{k.ke~ & ,e- eq[kksikè;k;] Mh- ,u- luluoky }kjk
fufeZre~
5- 'kSf{kdksiyfC/ijh{k.ke~ & Mk- ehuk{khfeJk (ekudhÑr vizdkf'kr%)
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'kks/ksidj.kkfu fooj.ke~
3-4-1 Le`frijh{k.ke~
ijEijkxrk/qfuNk=k;ks% Le`frukeè;;ueso izLrqr'kks/dk;ZL;
izFkeeqís';eklhr~A izLrqr'kks/dk;sZ i×ppjk.kka ekiuL; dk;Zeklhr~A rs p
lfUr&ekufld;ksX;rk;k% vUrfuZfgrLe`fr;ksX;rk] 'kkfCnd;ksX;rk] v'kfCnd&
;ksX;rk] vè;;uizo`fÙk%] 'kSf{kdksiyfC/'pA rs"kq iwoksZDri×ppjs"kq prq..kk±
;ksX;rkuka ekiuk; ekudhÑrijh{k.kL; fu.kZ;a Ñre~A Le`fr{kerk;k% ekiuk;
ekudhÑra ijh{k.keqiyC/eklhr~] ija r=k iz'ukuka la[;k lef/dk vklhr~]
vr% izLrqr'kks/s¿L; iz;ksxeso u Ñre~] ;rksfg Nk=kk.kka pRokfj ijh{k.kkfu
vof'k"VkU;klu~A vr% Nk=kk.kkeko';drkuq:ia 'kks/d=kkZ LoLe`frijh{k.k&
fuekZ.kL; fu.kZ;a Ñre~] rL; Ñrs p fuEulksikukU;uqlju~ 'kks/ksidj.ka
fufeZre~A
Le`frijh{k.kfuekZ.kL; ;kstuk
miyC/kuka ekudhÑrijh{k.kkukeoyksdua Le`frlEc¼lkfgR;L;
vè;;u×p Ñre~A rnf/ÑR; rkRdkfydLe`R;k/kfjrkuka LFkk;hLe`R;k&
/kfjrkuk×p iz'ukuka fuekZ.ka Ñre~A ekè;fedLrjh;fofo/fo"k;k/kfjrlkekU;&
Kkufo"k;diz'ukuka fuekZ.kk; fo"k;fo'ks"kKSlZgfopkj% Ñr% 'kks/d=kkZA
ijh{k.kL; fuekZ.ke~
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Le`frijh{k.ks iz'ukuka la[;k foa'kfr% (20) Hkosr~ bfr fu.kZ;a Ñre~A
p;furfo"k;oLrqu% fujh{k.ksu fo"k;fo'ks"kKSlZg fopkjfoe'ksZ.k f=ka'kr~ (30)
iz'ukfu jfprkfuA izkjfEHkdkUos"k.kk; Le`frijh{k.kizfr:ia (izk:ia ok)
i×pfo"k;fo'ks"kKS% vUos"k.ka dkfjre~A rs"kka fopkjk.;fi lÄïfyrkfuA
fo"k;fo'ks"kKS% p;furkfu (fpfÉrkfu) dsoya foa'kfr% iz'ukU;so vfUre&
izk:ik; fu/kZfjrkfu] funsZ'k×p fyf[kRok ijh{k.kL;kfUre:ia fufeZre~A
ijh{k.ks fuEuizdkjL; iz'ukU;klu~
iz'ukuka izdkj%
1- vlR;@lR; dFkua
2- cgqfodYikRediz'ukfu
3- fjDrLFkkuiwfrZ lEcfU/riz'ukfu
(d) ,dinsu mÙkjr
([k) }Ôf/dins"kq mÙkjr
4- O;qRØeiz'ukfu
ijh{k.kL; ewY;kÄïue~
Le`frijh{k.kL;kfUreizk:ia fo"k;fo'ks"kKku~ n'kZf;Rok midj.kL;
fo"k;xroS/rk vUo;oS/rk p lqfuf'prkA
ijh{k.kL;kÄïhdj.ke~
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fofo/iz'ukukek/kjs.k fofo/kÄïhdj.kL; izfØ;k lqfuf'prk ÑrkA
;L;k% fooj.ke/ksfyf[krefLrA
1- lR;@vlR;dFkue~
iz'uL; izdkj% vke~ u
ldkjkReddFkue~ 1 0
udkjkReddFkue~ 0 1
2- cgqfodYikRediz'usH;%
izR;sdlehphuk; mÙkjk; vÄïe~ ,de~ (1) iznÙke~A
3- fjDrLFkkuiwÙkZ;s
izfrlE;d~ fjDrLFkkuiwrZ;s 1&1] 2&2] 3&3] 4&4 vÄïkfu iznÙkkfuA
4- O;qRØfediz'usH;%
lE;d~ O;qRØeizLrqrs lfr ,diz'uk; (1) ,deÄïe~ iznÙke~A
3-4-2 'kkfCnd;ksX;rkijh{k.ke~
ijh{k.kfenesda oLrqfu"BkReda cqf¼ijh{k.kefLrA ijh{k.ksukusu
lkekU;ekufld;ksX;rk ijh{;rsA ijh{k.ks¿fLeu~ v"VkS Hkkxk% lfUrA izR;sdL;
HkkxL; iz'ula[;k fHkÂk HkofrA
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1- oxhZdj.ke~ & vfLeÂqiijh{k.ks i×pn'kinkfu nh;UrsA ins"kq deI;sda
js[kkÄïua dk;± HkofrA
2- rqY;kRede~ & v=k i×pn'kinkfu iznh;UrsA v=k };ks% 'kCn;ks% feFk%
lEcU/% HkofrA r`rh;'kCnL; Ñrs dks"Bds"kq df'pr~ ,d% 'kCn%
js[kkfÄïr% dk;Z%A
3- i;kZ;% & v=k foa'kfr% inkfu HkofUrA izR;sds"kq ins"kq ,d% 'kCn%
LFkkI;rs] rRle{ka dks"Bds fodYi% iznÙkks¿fLrA v=k lekukFkkZ% 'kCnk%
js[kkÄïuh;k% HkofUrA
4- la[;kRedijh{k.ke~ & vfLeÂqiHkkxs }kn'kinkfu HkofUrA izR;sdfLeu~
ins "kV~la[;k% iznÙkk% HkofUr] vfi p vfxzela[;k;k% Ñrs fjDrLFkkua
ifjdfYirefLrA v=k iniznÙkk fp=kla[;k ys[kuh;k HkofrA vusu
la[;kØe% iw;ZrsA
5- iwfrZijh{k.ke~ & vfLeu~ pRokj% x|ka'kk% iznÙkk% HkofUrA izFke x|ka'ks
i×pfjDrLFkkukfu iwj.kh;kfu HkofUrA izR;sdfjDrLFkkuL; Ñrs iznÙks"kq
fodYis"kq leqfpr% mÙkj% ns;%A vusu izdkjs.k vfLeÂqiijh{k.ks
=k;ksn'k&mÙkjkf.k nkÙkO;kfuA ;s"kka iw.kZiQydkÄïk% vfi =k;ksn'k ,o
HkofUrA
6- ifjPNsnijh{k.ke~ & vfLeu~ miijh{k.ks ,da js[kkfp=ka iznÙka Hkofr] ;=k
ikfjokfjdlEcU/% iznf'kZrks HkofrA v=k n'kiz'uk% HkofUr
;s"kkeqÙkjlEcU/:is.k ys[kuh;EHkofrA
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7- mÙkeLrdZ% & vfLeÂqiHkkxs¿fi n'kiz'uk% HkofUrA fodYis"kq ,da
lk/wÙkja fpÉhdÙkZO;EHkofrA
8- ljyrdZ% & vfLeu~ Hkkxs Hkkx};EHkofrA ;fLeu~ 1r% 57;kor~
laa[;kfÄïrk HkofUrA
rr% n'kinkfu nh;UrsA izR;sds"kq ins"kq dkf'pr~ la[;k% lfUrA rklka
la[;kuka le{ka o.kZekyk;k% 'kCnk% ys[kuh;k%A vijfLeu~ Hkkxs lIriz'uk%
HkofUr] r=k mfprfodYi% fpÉhdÙkZO;%A
vfLeu~ ijh{k.ks }kn'kkf/d'kriz'uk% HkofUrA ;s"kka dqyiQykÄï;ksx%
vf/dkf/d% }kn'kkf/d'kra HkofrA vLeS ijh{k.kk; pRokfja'kr~ fues"kkRed%
dky% iznh;rsA
vÄïhdj.ke~ &
mÙkjekykr% iz'ukukeqÙkjkf.k lR;kfu ok vlR;kfu lfUr bfr
fu/kZjf;ÙkO;kfu HkofUrA lk/wÙkjL; Ñrs ,d% vÄï% izns;ks¿fLrA vusu izdkjs.k
lkj.khiz;ksx}kjk vkâR; dqy;ksx% fu"iknuh;% HkofrA
v"ViQydkuka ;ksx% ewyizkIrkÄïlkgkÕ;su O;Drs% 'krka'k% vfi p ‘T’
iQykÄïlkj.;k KkrO;%A vr% laHkkO;=kqVÔkuqlkja ‘T’ iQykÄïL; lgkÕ;su
oxhZdj.ksu fu'psrO;ks HkofrA vusu izdkjs.k cqf¼yC/kÄïks¿fi KkrO;ks HkofrA
fo'oluh;rk &
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vfLeu~ ijh{k.ks fo'oluh;rk izdkj};su Kkfirk HkofrA
1. SPLITHALF METHOD
2. KUDER RICHARDSON FORMULA
oS/rk &
cqf¼ijh{k.kL; oS/rk fofo/Hkkxkuka ikjLifjdlEcU/a foKk;So
fu/kZfjrkA vij×p oS/rka izek.khdrq± iQykÄïL; lglEcU/kr~ Kk;rsA
ekud% &
f=kfo/ekuda fuekZ.kekè;esu f=kfo/ekuda fuehZ; rn~}kjk vL;
ijh{k.kL; ekudhdj.ka fØ;rsA f=kfo/s"kq ekuds"kq izFkeLrkor~ 'krka'k:is.kkij%
‘T’ iQykÄï:is.k vfUrelIroxhZdj.k:is.k izLrw;rsA
3-4-3 v'kkfCnd;ksX;rkijh{k.ke~
izLrqr'kks/dk;sZ¿fLeu~ v'kkfCnd;ksX;rk;k% ekiuk; NVIGT
IMTISUNGA AO (KOHIMA) ESTD 1971 Hidni Verson }kjk
fufeZr%A v'kkfCnd;ksX;rk;k% ekiU;k% iz;ksx% Ñr%A vfLeu~ v"VlIrfr
dFkukfu lfUr] ,rs"kkek/kjs.kSo 'kks/drkZ iznÙke~ LohdjksfrA ,rs v"VlIrfr
iz'uk% ^ljykr~ dfBuEizfr* bfr f'k{k.klw=kek/kjhÑR;So fufeZrk%A izR;sdL;
iz'uL; Ñrs¿=k pRokfj lek/kukfu fodYi:is.k dfYirkfu lfUrA
iznf'kZrkÄï}kjSo bg vÄïk% iznh;UrsA vfLeu~ mÙkji=ks izR;sdiz'uL;
le{keÄïkukeqi;qDrJs.kh iznÙkk¿fLrA
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ijh{k.kiz'kklukFk± funsZ'kk%
ijh{k.kdrkZ Loifjp;iznkusu lg fØ;kdykiksís';kfu fufnZ'ks;q%A
iwoZiznÙkk% funsZ'kk% Nk=kk.kka le{ka ekSf[kd:is.k izLrksrO;k%A rnuq Nk=ksH;%
mÙkjiqfLrdka iznk; Lofo"k;s fooj.ka nnkrqA izFkeLrkor~ mnkgj.kkuke~ vH;kl%
dj.kh;%A 'kÄïklek/kuL; i'pkr~ lÄïsrsu lg ijh{k.kL;kjEHk% fo/krO;%A
f=ka'kr~ fues"kkuUrja mÙkji=kk.kkeÄïhdj.ka dÙkZO;e~A
vÄïufof/% &
vL; ijh{k.kL; Ñrs vÄïufof/% vR;Urljy% HkofrA ,dLeS
lk/wÙkjk; ,d% vÄï% iznh;rsA vlk/wÙkjL; Ñrs u dk¿fi vÄïO;OkLFkk
ifjdfYirkfLrA ,dsu ikjn'khZLVsfUlylgkÕ;su vÄïua HkofrA ;r~ dk;ZL;kL;
lEiknuk; ,o fufeZra L;kr~A la[;kO;oLFkhÑR; fNnzLFka fo|ekua lek/kueso
lk/qRosu eU;rsA iznÙkkÂkÄïku~ x.kf;Rok rs"kka ;ksx ,o izR;sdLrEHks
ys[kuh;EHkofrA vkâR; dqy;ksxks¿/% fy[;rsA
ijh{k.kL; le;lhek &
le;kof/% ijh{k.kL; iwoZiz;kls O;rhr% vko';d% vkSlrle;%
,o ijh{k.kk; fu/kZfjrks HkofrA izR;sdsH;% insH;% x`ghrle;% 23&30 fues"kk%
vklu~A iz'ukuka dqyla[;k lIrfrA vr% ijh{k.kk; fu/kZfjr% dqyle;% f=ka'kr~
fues"kk% vklu~A n'kfues"kk% funsZ'kkRedksnkgj.kkuka Li"Vkocks/k; vfrfjDrRosu
dfYirk%A ,rRlo± fo|ky;L; pRokfja'kr~ fues"kkuUrja lekiuh;&lEiknuh;×p
HkofrA
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fo'oluh;rk
1- SPLIT HALF METHOD v/Z[k.Mufof/%
2- ijh{k.kiquiZjh{k.kfof/%
3- dwMjfjpMZlulw=ke~ 1 (K-R-21)
4- oS/rk (-GMA, Jalota, + 0.88)
NORMS - v;a oS;fDrdrqyukRedfLFkfrcks/ukFkZe~ vko';dks¿fLrA v;a
Nk=ksH;% izxfrrkSyuekuda iznnkfr vfi p iznÙkekè;esu rs"kka fLFkfrefi
fu/kZj;frA
vL; HkkxL; mís';Lrkor~ ijh{k.kk; fu;eL; ekudhdj.kefi p
fHkÂ&fHkÂLrjh;k.kka Nk=kk.kka Ñrs NORMS TABLE bR;L; leqiyC/rk
dÙkZO;kA
3-4-4 vè;;uizo`fÙkijh{k.ke~ (SHI)
izLrqr'kks/dk;sZ Mk- ,u- luluoky] ,e- eq[kksikè;k;% vkH;ka
fojfprkè;;uizÑR;uqlwP;k% iz;ksx% Ñr%A vL;keuqlwwP;ka f}i×pk'kr~ dFkukfu
lfUrA
;=k ,di×pk'kreuqlwP;ka dFkuesda rFkk p rnfxzelwP;ke~
,dkn'kksidFkukfu HkofUrA f}i×pk'kr~ dFkukfu vkfJR;So vuqlU/k=kk
Lodh;% iznÙk% lÄïfyr%A ,"kq f}i×pk'kr~ dFkus"kq dkfufpr~ /ukRedkfu
dkfufpr~ ½.kkRedkfu iz'ukfu lfUrA /ukReddFkuL; eSuqvysu
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izkIrfunsZ'kkuqlkja 4]3]2]1]0 vÄïk% iznh;Urs] ½.kkReddFkukuka Ñrs 1]2]3]4]0
,rkn`'kk% vÄïk% iznh;UrsA
izR;sdL; dFkuL; le{ka i×p izR;qÙkjdks"Bdkfu HkofUr ;kfu
Øe'k% lnSo] cgq/k] ;nk] dnkfi] u psfr i×pkFkkZuka izkfrfuè;a ogfUrA
v=k Nk=kk% Loeulk vuqdwyL; mÙkjL; le{ka (3) rnfrfjDrkuka
iz'ukuka le{ka (×) vL; fpàL; iz;ksxa dqoZfUrA ,rsu losZ"kka dFkukuke~ mÙkja
ns;EHkofrA v=k u fdefi dFkua gs;EHkofrA v=k lkèolk/q% osfr fopkjL;
vkxzgks u HkofrA vr% ;Fkkefr losZ iz'uk% lek/s;k% HkofUrA
vè;;uL; iz;qDrijh{k.ke~ ,dr% vè;;uO;ogkjL; ekiua djksfrA
;s v/ksfyf[krk% lfUr &
1- voxUrqa ;ksX;rk
2- ,dkxzrk
3- dk;kZfHkfoU;kl%
4- vè;;udks"Bd%
5- vUrfØZ;k
6- vH;kl%
7- lgk;rkiznkue~
8- vfHkys[kue~
9- Hkk"kk
vf/Hkkjrkfydk
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158
miHkkx% vf/Hkkjizfr'kr% dFkula[;k
Kkr;ksX;rk 28 12
,dkxzrk 23 10
dk;Z&vfHkfoU;kl% 18 9
vè;;udks"Bd% & 7
vUr%fØ;k 7 3
vH;kl% 7 4
lgk;rkiznkue~ 7 4
vfHkys[kue~ 5 2
Hkk"kk 5 1
;ksx% 100 52
ijh{k.kL; fo'oluh;rk
lEiw.kZijh{k.kL; fo'okluh;rk v¼ZfoPNsnfof/}kjk fu%lkfjrk¿fLrA
fo'oluh;rkxq.kkÄï% ,duofr% fu/kZfjr% ;% vUR;ksPp% vklhr~A vfi pk;a
xq.kkÄï% lwp;fr ;r~ vè;;uizÑR;Uosf"kdk;k% fo'oluh;rk mPpLrjh;k
vfLrA
vÄïuizfØ;k
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159
/ukRedizÑfrdkuka dFkukukeqifj 4]3]2]1]0 rFkk
½.kkRedizÑfrdFkukukeqifj 0]1]2]3]4 bfr vÄïiznkua HkofrA vu;k jhR;k
U;wurekÄï% 'kwU;% lokZf/d'p 208 vÄïk% izkI;UrsA vÄïfu¼kZj.ki×pfcUnq&
ekiuh}kjk fØ;rsA
dqy /ukReddFkukfu prqfL=ka'kr~ ½.kkReddFkukfu p v"Vkn'k
fu/kZfjrkfuA
/ukReddFkukfu ½.kkReddFkukfu
1] 2] 3] 4] 5] 6] 7] 8] 9] 11] 12] 13]
14] 15] 22] 23] 24] 25] 27] 29] 30]
31] 32] 34] 38] 39] 41] 43] 44] 46]
49] 50] 51] 52 ¾ 34 dFkukfu
10] 16] 17] 18] 19] 20]
21] 26] 28] 33] 35] 36]
37] 40] 42] 45] 47] 48 ¾
18 dFkukfu
3-5-5 'kSf{kdksiyfC/ijh{k.ke~
f=kLrjh;laLÑr'kSf{kdksiyfC/ijh{k.kfefrJqRoSo v=k ijh{k.ks
Lrj=k;EHkofr bfr cks/ks tk;rsA rs v/ksfyf[krk% lfUr&
1- Le`frLrj%
2- cks/Lrj%
3- KkuLrj%
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160
f=kLrjh;laLÑr'kSf{kdksiyfC/ijh{k.kL;ksís';% Nk=kk.kka fofo/Lrjs"kq
vftZrKkuL; ewY;kÄïuefLrA
izLrqrijh{k.ks laLÑrfo"k;L; miyfC/ijh{k.kk; visf{krKkuek/`R;
f=k"kq mi[k.Ms"kq foHkT; i×pn'kLe`frLrjh;k% cks/Lrjh;k% cgqfodYikRedk%
iz'uk% vfi p i×pfpUruLrjh;k% y?kwÙkjh;k% iz'uk% bg lekosf'krk%A
fofo/Lrjk.kka Ñrs iz'ufuekZ.kk; fu/kZfjr% p;fur'p fo"k;foo`fÙk% vxzs
fyf[krk¿fLrA
o.kZfopkjiz;ksx% &
laLÑrokÄ~e;s o.kZfopkjKkua furkUreisf{krefLrA ;r% o.kZKkusu
'kCnKkua] 'kCnKkusu vuqPNsnKkua [kyq ØeekfJR;So egku~ lEizR;;% tk;rsA
o.kZfopkjs izR;kgkjfuekZ.ka izR;sdL; o.kZL; mPpkj.kLFkkuL;kfi Kkua fØ;rsA
'kCn:ie~ &
laLÑrHkk"kk;ka 'kCnkuka :ioSfoè;a egn~ oSf'k"VÔek/ÙksA laLÑrs
izR;sdL; 'kCnL; izR;sdklq foHkfDr"kq =khf.k :ikf.k HkofUrA v=k
lIrfoHkDr;% HkofUrA rsu izR;sdL; 'kCnL; ,dfoa'kfr% :ikf.k HkofUrA
lEcks/uL; :ik.;fi vkâR; prqfo±'kfr% :ikf.k HkofUrA
/krq:ie~ &
/krq:iefi 'kCn:ion~ fofo/ydkjs"kq fHkÂa&fHkÂa HkofrA laLÑrs
/krwuka foHkkxL; eq[;k/kj};a orZrs& (1) vkReusine~ (2) ijLeSin×pA
Hkk"kkKkuk; Nk=kk.kka Ñrs /krqKkueko';dks HkofrA
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izR;;% &
laLÑrs 'kCnkuka fo'ys"k.ka izÑfrizR;;k/huEHkofr] vFkkZr~ 'kCnkuke~
vFkkZoxeuk; r=k fo|ekukuka izÑfrizR;;kfnKkuke~] ,dLek¼krks%
fofo/izR;;la;ksxsu fofo/'kCnk% fuehZ;UrsA
lfU/% &
laLÑrHkk"kk;k% Kkuk; o.kZfopkjkfnor~ lfU/Kkuefi vko';defLrA
eq[;r% lU/;% =k;% lfUr] vT>yfolxZHksnsH;%A
lekl% &
lfU/fjo leklKkuefi vko';dRoa HktrsA leklLrq vusd&
inkukesdhHkouEHkofrA
dkjde~ &
okD;kFkZfu.kZ;dkjde~ vR;qi;ksxkLinEHkofrA dkjda "kV~fo/a
drkZfnHksnkr~A
ydkjiz;ksx% &
laLÑrs dkyKkua ydkjkfJra dkyL; ydkjs.kSo O;oLFkkfirkfLrA
laLÑrs n'kydkjk% lfUr] rs"kq i×pe% ;% ysV~ l% NUnfl iz;qT;rsA vU;s"kka
iz;ksxLrq ;Fkkolja ;Fkk;Fka yksds osns ok mHk;=k laizkI;rsA
lw=kiz;ksxk% &
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162
izHkwrksi;ksxks fg lw=kk.kka laLÑrs lk/q'kCnkukeuq'kkludRokr~
lw=kkfRedk v"Vkè;k;hxzUFk:is.k jfprkfLrA laLÑrokÄ~e;a lkeU;tuk% vfi
vocqè;s;q%A
laLÑrlkfgR;e~ &
laLÑrs uhfrdkO;knhuka fofo/ewY;izfriknuk; vfLr dkfpr~
foy{k.kSo Hkwfedk laLÑrlkfgR;L;A laLÑrlkfgR;kè;;ukr~ ekuokuka thoua
lkiQY;esfrA
bRFkEizLrqrijh{k.ks f=kLrjh;laLÑrksiyfC/ijh{k.ks 'kCn:ikfn
iwoksZDrkuka 'kCn:iknhuka KkulEc¼k% iz'uk% mi;qDrk% bfr eRok fo|kfFkZuka
laLÑrksiyC/sjè;;ua f=kfo/Lrjs"kq iz"VO;k%A
ijh{k.kL; le;kof/%
f=kLrjh;laLÑrksiyfC/ijh{k.kL; izkjfEHkdokLrfodewY;kÄïukH;ka
izkIrifj.kkek/`R;] ijh{k.kL; lek/kuk; i×pk'kr~ fues"kkRed% dky%
leqi;qDr%A
ijh{k.kL;kÄïufof/%
Le`frLrjk; & izR;sdLeS lk/wÙkjk; 1 vÄï%] izR;sdLeS vlk/wÙkjk; 0 vÄï%A
vusu izdkjs.k Le`frLrjs vf/dre% izkIrkÄï% 15×1¾15 rFkk p
U;wureizkIrkÄï% 15×0¾0 lEHkofrA mÙkji=kdk.kkeÄïuk;
vÄïudqf×tdk iz;qDrkA
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163
cks/Lrjk; & izR;sdLeS lk/wÙkjk; }kS (2) vÄïkS] izR;sdLeS vlk/wÙkjk;
'kwU;% (0) vÄï% iznÙk%A vusu izdkjs.k cks/Lrjs vf/dreizkIrkÄïk%
10×2¾20 rFkk p U;wureizkIrkÄï% 10×0¾0 'kwU;a lEHkofrA
mÙkji=kdk.kkekÄïuk; vÄïudqf×tdk iz;qDrkA
fpUruLrjk; & izR;sdL; iz'uL; iw.kkZÄïk% =k;% lfUrA izkIrksÙkjs"kq Nk=kk.kka
fpUrufo'ys"k.k{kerkekfJR; 'kwU;r% =k;a ;kor~ dks¿I;Äï% nkrqegZfrA
ijh{k.kiquiZjh{k.kfof/% &
f=kLrjh;laLÑr'kSf{kdksiyfC/ijh{k.kL; fo'oluh;rk;k% xq.kkÄï%A
Lrj% fo'oluh;rkxq.kkÄï% (r)
Le`frLrj% 0-81
cks/Lrj% 0-76
fpUruLrj% 0-69
ijh{k.kL; oS/rk
izR;sdL; ijh{k.kL; dkfufpr~ lqfuf'prkfu mís';kfu HkoUR;so] ;s"kka
izkfIrjfi rsu fØ;rsA vr% ;nk ijh{k.ka lqfuf'prksís';kfu yHkUrsA rnk
rRijh{k.ka oS/ijh{k.kfeR;qP;rs rFkk rL; ijh{k.kL; rnso xq.ka rL; oS/rk
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164
LohfØ;rsA dL;kfi ijh{k.kL; oS/rk;k% lEcU/% ekiu=kqVÔk ,o HkofrA vr%
vusu Kk;rs ;r~ ijh{k.ksu izkIrkÄïk% fd;Ur% fLFkj=kqfVfHk% eqDrk% lfUrA
3-5 iznÙklÄïyua ijh{k.kkuka iz'kklu×p
izÑr'kks/L; iznÙkkuka lÄïyua fuEufyf[krkfu lksikukfu vuqfJR;So
HkofrA
iz'kkluL; funsZ'k%
fo|ky;kuqeR;k d{kka izfo'; Loifjp;a iznk;] 'kks/dk;ZL; iz;kstua
rUegÙo×pksncksè;dk;± izkjC/e~A
loZizFkea fo|kfFkZuka Le`frijh{kk;S Mk- lnuflagfunsZ'ks fufeZra
Le`frijh{k.ka forfjre~A lkekU;kSipkfjddk;kZuUrja rs"kkÄ~Ñrs mÙkjiqfLrdk;ka
iznÙkkuka funsZ'kkuke~ mnkgj.kk×p fo"k;s Li"Vkocks/% dkfjr%A ijh{k.kfo"k;s lo±
izfrik| Nk=kk bg vkfn"Vk vHkwou~] ;Ùks LoksÙkjkf.k vR;UrizPNÂr;k nnrq
vfi p rs"kkeqÙkjk.;fi izPNÂkfu Hkfo";fUrA ,rsu rr% Nk=kk% LorU=kr;k
lek/kuku~ vizLrqou~A
ijh{kkfo"k;dfunsZ'kkfnde~ mfprjhR;k Nk=kku~ mn~cksè; ijh{k.kL;
mís';efi Nk=kk.kka le{ka izfrikfnra ;r~ usna ijh{k.ka fdefi oSf'k"VÔefHky{;
izofrZrefirq rs"kka ekufld;ksX;rkijh{k.kk; vfLrA ,rsu rs"kka O;fDrxr&
vè;;uL; les/uk; fo|ky;L; izxfriznkuk; fo'ks"kykHkdjh Hkfo";frA rnuq
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165
Nk=kiznÙkkuke~ mÙkjk.kka >fVR;so ,dhdj.ka fo/k; ijh{k.ka lEikfnre~A
mÙkjiqfLrdka uhRok rL;kÄïua Ñroku~ rFkk p iznÙka izkIroku~A
3-6 iznÙkkuka O;oLFkkiue~
iznÙkkuka lÄïyukuUrja rL; oxhZdj.ka O;oLFkkiu×p fo/Ùka
'kks/d=kkZA ;su rL; leqfprjhR;k fo'ys"k.ka fu"d"kZfu"iknu×p Hkosr~A ;|fi
fofo/ksidj.klgk;r;k¿fi izkIr% oS/% lÂfi vO;ofLFkrks HkofrA vr% ra
iz;kstu'khya mi;ksfxu×p drq± lqO;ofLFkrRoa lqlaxfBRo×p visf{krEHkofrA
rnFkZeL; oxhZdj.ka lkj.khc¼:is.kkL; lekiufeR;kfndekpkj.kh;a HkofrA
,df=kriznÙkkuka 'kq¼rk;k mi;ksfxrk;k vfi p iw.kZr;k fujh{k.ka fØ;rsA
iznÙkkuka lÄïyua fo'oluh;ksidj.ksu oS/ksidj.ksu p HkofrA iznÙkku~ lkFkZda
dÙkq± lkaf[;dh;izfof/ukeqi;ksx% vko';da HkofrA rnFk± iznÙkkuka oxhZdj.kL;
O;oLFkk;k% vko';drk HkofrA
izkIrlwpuk;k% fofo/oxsZ"kq foHkktusu visf{krifj.kkek; fo'ys"k.keso
iznÙkoxhZdj.kEHkofrA
vu;So jhR;k ,df=kriznÙkkuka 'kq¼rk mi;ksfxrk iw.kZrk p fujhf{krkA
rnuq lwpuku~ ijEijkxrk/qfudNk=ks"kq Js.khc¼a ÑRok lkj.khizfØ;;k vuqf"BrkA
vL;ka izfØ;k;ka iznÙkku~ xf.krh;ins"kq foHkT; oxhZÑrk; ok fo"k;lkexzh.kke~
mYys[k% Ñr%A
3-7 iz;qDrlkaf[;dh;fo/;%
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lkaf[;D;k% eq[;ksís';a izfrn'kZr% izkIr&ifj.kke}kjk lef"Vfo"k;s
vuqeh; lkekU;hdj.ke=k leL;k tk;rs ;r~ fda uke lkaf[;dh bfr\
lkaf[;dh ,rkn`d~ foKkua fo|rs ;su fo'ys"k.kk/kjs.k fu"d"k± izfrLFkkiue~A
lkaf[;dh;fo"k;s dsfpr~ 'kks/eeZKS% Lodh;a era izfrLFkkfire~A
W. G. Sutcliffe -
^Lkkaf[;dh ,rkn`d~ foKkua fo|rs] ;=k ?kVukuka lR;rkfo"k;s iznÙkkuka
fof/iwoZda ladyua O;oLFkkiua rFkk p dfLeaf'pr~ ?kVuk&fo"k;s foLr`r&
O;k[;k lekfgrk HkofrA*
Ferguson –
^Lkkaf[;D;k% lEcU/% losZ{k.ksu ijh{k.ksu p izkIrlkexzh.kka lÄïyua]
oxhZdj.ka] O;k[;k p fo|rsA*
A. I. Bowley -
^oLrqr% lkaf[;dh&x.kuk;k% foKkua fo|rsA*
mijksDrifjHkk"kk}kjk Kk;rs ;r~ lkaf[;dh&foKkua fo|rs] ;=k iznÙkkuka
ladyua fo'ys"k.ka fu"d"kZizfrLFkkiu×p HkofrA
lkaf[;D;k% vko';drk
1. fofHkÂlewgkuka ikjLifjdrqyuk
'kks/dk;sZ dL;kfi oLrq&fo"k;s fofHkÂrF;kuka ladyua fo/k;
rnk/kjs.k lewgs"kq ikjLifjdrqyuk lEik|rs 'kks/d=kkZA rqyukFk± lkaf[;D;k%
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vko';drk Hkofr ;Fkk o;a Nk=ks"kq es/kfoNk=kk.kka rFkk nqcZycqf¼Nk=kk.kka
oxhZdj.ka ok×Nke% rfgZ r=k mfprlkaf[;dhfo/s% vko';drk HkofrA
2. 'kSf{kdO;kolkf;dekxZn'kZue~
lkaf[;dh;fo/hukeko';drk 'kSf{kdekxZfunsZ'kus HkofrA lkaf[;dh&
fof/}kjk Nk=kk.kka ;ksX;rka] cqf¼Lrje~] vfHko`fÙka] #fpa izo.krk×p voxR;
fo"k;p;us lkgkÕ;a iznnkfrA lkaf[;dh u dsoya 'kSf{kdekxZfunsZ'kua nnkfr
vfi p O;kolkf;dfunsZ'kuefi nnkfrA ,oa lkaf[;dh O;Dr;s O;kolk;p;us
lkgkÕ;a iznnkfrA
3. 'kSf{kdiz;ksx% vuqlU/ku×p
orZekudkys izfrfnua ifjfLFkfr% ifjorZekuk tk;rsA izfrfnua f'k{kk{ks=ks
izkS|ksfxD;k% iz;ksx% HkofrA rs"kka iz;ksx% f'k{kk{ks=ks fd;r~ ykHknk;da fo|rs]
rs"kka iz;ksxs.k f'k{kk;ka fd;r~ ek=kk;ka xq.koÙkk vkxfe";fr bfr Kkrqa
vuqlU/kudk;± dj.kh;a HkofrA r=kksidj.k}kjk leL;kfo"k;s lÄïfyriznÙkkuka
fo'ys"k.ka dj.kh;a HkofrA lE;d~ fo'ys"k.kkFk± lkaf[;D;k vko';drk HkofrA
mfprlkaf[;dhfof/}kjk lkFkZdfo'ys"k.ka Hkofr] vU;Fkk fu"d"kZ% nks"kiw.kZ%
HkofrA vr% lE;d~ 'kks/dk;± lEiknf;rqa lkaf[;D;k% Kkua ijeko';da HkofrA
4. f'k{k.ks izHkko'khyrk
lkaf[;dh;f'k{k.ks izHkko'khyrkekusrqa lkgkÕ;a iznnkfrA vè;kid%
dL;ka d{kk;ke~ vè;kif;Rok KkrqfePNfr ;r~ Nk=kk% fd;Ur% cks/;qrk%
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vHkou~ bfrA rn~}kjk l% Loa f'k{k.kizHkkfora drq± 'kD;rsA f'k{k.kizHkko&
'khyrka lkaf[;dhfof/uk ,o Kk;rs] ukU;Fkk bfrA
5. ikB~;ØefuekZ.ks vk/kjiznkue~
lkaf[;dh ikB~;ØefuekZ.ks egr~ lkgkÕ;a iznnkfrA ;nk ikB~;Øe%
fuehZ;rs eeZKS%] rnk ikB~;Øe% fd;r~ izHkkoiw.kZ%\ fo|ky;Lrjs lapkyus dk%
leL;k%\ dks ykHk bfr\ bR;knhuka iz'ukukeqÙkjkf.k lkaf[;dh}kjk ,o Kk;rsA
6. f'k{kk;ka uokpkjiz;ksx%
f'k{kk;ka uokpkjiz;ksxs¿fi lkgkÕ;a nnkfr lkaf[;dhA v|Ros f'k{kk;ka
lSesLVjiz.kkyh] xzsfMaxiz.kkyh] lÄõ.kdiz;ksx%] uwrulalk/ukuka iz;ksxs
loZdkji{kr% iz;klk% fØ;ek.kk% lfUrA rs f'k{kk;ka fd;rha xq.koÙkka tu;fUr
bfr Kkrqa lkaf[;D;k% vko';drkA
,rsH;% vfrfjP; vfi lkaf[;D;k% egÙoa fo|rs rn~ 'kks/drkZja
u;uiFkh dkj;frA
1- miyfC/ekiue~A
2- miyfC/rqyukA
3- vfHko`fÙkekiue~A
4- vuqlU/kuL; oSKkfudk/kjiznkue~A
5- iznÙkfo'ys"k.ke~A
6- iznÙklkj.kh;ue~A
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7- 'kks/fu"d"kZfu"dklue~A
8- cqf¼ekiue~A
9- vf/xedk;sZ xq.koÙkksRFkkiue~A
'kks/s iz;qDrlkaf[;dh;fo/;%
lkaf[;dh ,rkn`d~ foKkua orZrs] ;=k iznÙkkuka lÄïyua O;oLFkkiua
izLrqrhdj.ka fo'ys"k.ka rFkk fo'ys"k.k}kjk fu"d"kZLFkkiua HkofrA oLrqr%
lkaf[;dhizfo/s% p;ua leL;kizÑR;kuqlkja HkofrA v/qukIk;ZUra 'kks/d=kkZ
ifjdYiuk&fuekZ.ka iznÙkladyu×p Ñre~A vfLeu~ lksikus 'kks/drqZ% dk;±
Hkofr ;r~ leL;klEcfU/ra ;r~ iznÙkladyua Ñra rr~ vFkZiw.k± dj.kh;a] rL;
Ñrs l% mi;qDrlkaf[;dh;fo/s% p;ua djksfrA
izLrqr'kks/dk;sZ vuqlU/krk fo'ks"kKijke'ksZ.k LokuqHkosu p eè;ekua]
ekudfopyua] ^Vh* ijh{k.ka bR;kfn&dk;± fu/kZfjre~A
'kks/dk;sZ eè;ekuL; iz;ksx%
izLrqr'kks/dk;sZ ^ijEijkxrk/qfudfo|ky;h;Nk=kk.kka ekufld;ksX;rka]
vè;;uizo`fÙke~ ,oa 'kSf{kdksiyfC/a* izfr n`f"Vdks.kL; rqyukRedeè;;ua
fo|rs vr% dsUnzh;izo`Ùks% Kkua] eè;ekuL; iz;ksx vko';de~A
eè;ekuL; rkRi;Ze~
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eè;ekufo"k;s iQkjX;wluegksn;su izksDra ^eè;ekua rr~ ekua Hkofr ;r~
la[;k;k% ;ksxa rL;So la[;kHkkx}kjk vkxPNfrA* vfi p ,iQ- lh- feYl
^eè;ekua dL;kfi forj.kL; lUrqyudsUnz% HkofrA*
eè;ekua oxhZÑriznÙkr% voxhZiznÙkr'p izkI;rsA 'kks/dk;sZ
oxhZÑriznÙka eè;ekua mi;qT;rsA
eè;ekuL; lw=ke~
oxhZÑriznÙkr% eè;ekua Kkrqa v/ksfyf[kra lw=ka mi;qT;rs]
'kks/fo'ks"kKS% ;Fkk&
( )∑ f d
M = A.M. + ×c.iN
v=k &
M ¾ okLrfodeè;ekue~A
AM ¾ dfYireè;ekue~A
f ¾ vko`fÙk%A
d ¾ fopyueA~
∑ f d ¾ vko`fÙkfopyu;ks% xq.kiQyL; ;ksx%A
N ¾ lEiw.kkZo`fÙk%A
C. i ¾ oxkZUrje~A
'kks/s iz;qDra ekudfopyue~ (Standard Deviation)
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dL;kfi 'kks/dk;ZL; laiknukFk± iznÙkkukeko';drk HkofrA
iznÙklÄïyuL; i'pkr~ rs"kka iznÙkkukeFkZiw.kZdj.kkFk± lkaf[;dhizfo/huka iz;ksx%
visf{kr% HkofrA lkaf[;dhizfof/"kq ekudfopyua ,da egÙoiw.k± izfof/%
orZrs] ;su Kk;rs iznÙkkuka izlkj% fd;r~ orZrs rFkk dsfUnz;izo`fÙkekur% fd;r~
vUrja orZrs iznÙkkuke~A ije=k 'kÄïk tk;rs ;r~ fde~ uke ekudfopyue~\
fopyufo"k;s ds"kkf×pr~ fonq"kka erkfu v=k miLFkkI;Urs&
cksfjax ySaxiQhYM rFkk osYM &
^fopyuL; ekid}kjk Kk;rs ;r~ iznÙkk% Loeè;ekur% fd;r~
nwji;ZUra foLr`ra orZrsA*
xSjsVegksn;% &
^fopyu'khyrk;k% rkRi;± iznÙkkuka izlkjs.k lg orZrs ;L; izlkj%
eè;ekua ifjr% HkofrA*
mijksDrdFkusu Kk;rs ;r~ fopyu'khyrk;k% rkRi;± iznÙkkuka izlkjs.k
lg orZrs] ;r~ dsfUnz;izo`fÙka ifjr% orZrsA
fopyu'khyrka Kkrqa uSdfo/ekidkuka iz;ksx% HkofrA ;Fkk&
• izlkj% (Range)
• eè;ekufopyue~ (Aurogemean Deviation)
• prqFkk±'kfopyue~ (Avartile Divation)
• ekudfopyue~ (Standard Deviation)
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'kks/dk;sZ ekudfopyuL; iz;ksx% vÄõhfØ;rs 'kks/d=kkZA
ekudfopyua fopyu'khyrk;k% 'kq¼&LFkk;hekiu;ks% lwpd% fo|rsA ,rnFk±
euksoSKkfudkè;;us"kq vL; iz;ksx% fØ;rs 'kks/fo'ks"kKS%A dL;kfi lewgL;
letkrh;rka fo"ketkrh;rk×p KkukFkZe;a Js"Bekid%A ekudfopyuL; vFkZ%
orZrs izkIrkÄïkuka eè;ekur% izkIrkÄïL; fopyuL; oxsZ"kq eè;ekuL;
oxZewyeso ekudfopyua orZrsA ekudfopyuL; f=kfo/iznÙks"kq ekudfopyua
iz;qT;rsA vL; lw=ka fo|rs&
2
2fd fd
SD σ = i - × iN N
v=k &
f ¾ fofHkUuoxkZ.kke~ vko`fÙk%A
d ¾ fofHkUuoxkZ.kka dfYireè;ekukr~ fopyue~A
i ¾ oxZfoLrkj%A
N ¾ vko`Ùkhuka egk;ksx%A
3-8 ^Vh*&ijh{k.ke~ (‘t’ Test)
};ks% lewg;ks% rqyuk lk/kj.kr% ekud&eè;eku;ks% vUrj}kjk fØ;rsA
eè;ekuL; vUrjlkFkZdrk;k% Kkueko';da fo|rsA vUrjlkFkZdrk;k% Kkua
^Vh*&ijh{k.kekè;esu HkofrA
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^Vh*&ijh{k.kL; iz;ksxk; vko';da orZrs ;r~ vko`fÙkforj.ka
lkekU;oØs L;kr~ rFkk U;kn'kZL; vkdkj% foLr`r% L;kr~A ^Vh*&ijh{k.k}kjk
izkIra ekua ^Vh*&rkfydk;ka foyksD; 'kwU;ifjdYiuk;k% LohÑR;LohÑR;ksfoZ"k;s
fu.kZ;% uh;rs 'kks/d=kkZA Vh&ijh{k.kL; lw=ka fo|rs&
Large Group 2 21 21 2Dt = S S+N N
v=k &
1M ¾ izFkeU;kn'kZL; iznÙkkuka eè;ekue~
2
M ¾ f}rh;U;kn'kZL; iznÙkkuka eè;ekue~
S1 ¾ izFkeU;kn'kZL; ekudfopyue~
S2 ¾ f}rh;U;kn'kZL; ekudfopyue~
N1 ¾ izFkeU;kn'kZL; vko`fÙk%
N2 ¾ f}rh;U;kn'kZL; vko`fÙk%
^Vh*&ijh{k.kL; iz;ksx%
};ks% eè;eku;ks% vUrjlkFkZdrk;k% ^Vh*&ijh{k.kL; iz;ksxa fØ;rsA
Vh&ijh{k.kL; ekudKkukr~ i'pkr~ LorU=kka'kL; (df) vko';drk HkofrA
rL; lw=ka orZrs &
df = n1 + n2 – 2
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mHk;ks% lewg;ks% iznÙkku~ la;ksT; rr% 2 vadkr~ fo;kstuh;%A iqu%
Lora=kka'kk/kjs.k ^Vh*&rkfydk;ka lkFkZdrkekua foyksD; 'kwU;ifjdYiuk;k% fo"k;s
dF;rs ;r~ ifjdYiuk LohÑrk vFkok vLohÑrkA
LorU=krka'k% (df) 1 vadkr~ vkjH; 1000 vFkok vlhfera Hkforqa
'kD;rsA };ks% i`Fkd~&i`Fkd~ eè;eku;ks% vUrjlkFkZdrk;k% Ñrs 0-5 rFkk -01
Lrj% iz;qT;rs 'kks/eeZKS%A
;fn ^Vh*&vuqikrL; ekua okf×NrlkFkZdrkLrjL; lkj.khekukr~
vf/da Hkofr] rfgZ ^Vh*&vuqikr% rfLeu~ lkFkZdrkLrjs lkFkZda Hkofr rFkk
'kwU;& ifjdYiuk fujLrk HkofrA vLekr~ foijhra ;fn ^Vh*&ekua
okf×NrlkFkZdrkLrjL; lkj.khekukr~ vYia Hkofr] rfgZ ^Vh* vuqikr% rfLeu~
lkFkZdrkLrjs vlkFkZd% Hkofr rFkk 'kwU;ifjdYiuk LohÑrk HkofrA
a