Tsu-2011 - ieeetsu

proporcia, romlebic institutSi dadian sakuTari an mSoblebis
manqanebiT erTidaigivea samive institutisaTvis.
instituti I instituti II instituti III jami
-------------------------------------------------------------------------------------------------------------------
ki 18 22 16 56
ara 32 28 34 94
jami 50 50 50 150
amoxsna.
nabiji 1. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi:
H
0
: p 1
p 2
p 3
(proporciebi erTidaigivea).
H
1
: sul cota erTi proporcia mainc gansxvavdeba danarCenebisagan.
nabiji 2. vipovoT kritikuli mniSvneloba. Tavisuflebis xarisxi
tolia d. f . ( R1)( C 1) (21) (31) 2. amitom xi-kvadrat ganawilebis
cxrilidan vpoulobT, rom 0.05 -saTvis kritikuli mniSvneloba iqneba:
2
CV . . 2,0.05
5.991 .
nabiji 3. gamovTvaloT mosalodneli mniSvnelobebi. visargebloT
formuliT:
striqonisjami ×svetisjami
mosalodneli mniSvneloba e ij ,
=
.
mTliani jami
5650 5650 5650 e1,1
18.67 , e
150
1,2
18.67 , e
150
1,3
18.67 ,
150
9450 9450 9450 e2,1
31.33 , e
150
2,2
31.33 , e
150
2,3
31.33 .
150
dasrulebuli SeuRlebis cxrili iqneba:
instituti I instituti II instituti III jami
-------------------------------------------------------------------------------------------------------------------
ki 18 (18.67) 22 (18.67) 16 (18.67) 56
ara 32 (31.33) 28 (31.33) 34 (31.33) 94
jami 50 50 50 150
nabiji 4. gamovTvaloT kriteriumis mniSvneloba:
2 2 2 2
( o
2
i, j
ei , j) (18 18.67) (22 18.67) (16 18.67)
e 18.67 18.67 18.67
ij , ij ,
2 2 2
(32 31.33) (28 31.33) (34 31.33)
1.596 .
31.33 31.33 31.33
nabiji 5. gadawyvetilebis miReba: radganac 1.596 < 5.991, amitom nulovani
hipoTezis uaryofis safuZveli ara gvaqvs, anu ar arsebobs sakmarisi
safuZveli vamtkicoT, rom proporciebi gansxvavebulia.
magaliTi 2. sami qarxana uSvebs erTidaigive detals. am qarxnebidan
aRebulia Sesabamisad 250, 200 da 150 detali, romelTagan arastandartuli
aRmoCnda Sesabamisad 10, 9 da 11 detali. SevamowmoT hipoTeza aRniSnul
SerCevaTa erTgvarovnebis Sesaxeb 0.1 mniSvnelovnebis doniT.
amoxsna.
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