Tsu-2011 - ieeetsu

P{ T t | H0}, Tu H1 : a1 a2
0;
P - mniSvneloba: P P{ T t | H0}, Tu H1 : a1 a2
0; =
P{| T | | t || H0}, Tu H1 : a1 a2
0.
1 FT
( t), Tu H1 : a1 a2
0;
= FT
( t), Tu H1 : a1 a2
0;
2 [1 FT
(| t |)], Tu H1 : a1 a2
0.
gadawyvetileba: Tu t C.R., maSin H 0
hipoTezas ukuvagdebT, winaaRmdeg
SemTxvevaSi amis safuZveli ara gvaqvs.
P - mniSvnelobis meTodi: Tu P , maSin H
0
hipoTezas ukuvagdebT
mniSvnelovnebis doniT, winaaRmdeg SemTxvevaSi amis safuZveli ara
gvaqvs.
(1 )
saimedoobis ndobis intervali saSualoTa sxvaobisaTvis:
( xn y ) t s 1/ n1/ m a a ( x y ) t s 1/ n 1/ m.
m
'
'
nm2, /2 n, m 1 2 n m nm2, /2 n,
m
magaliTebis amoxsnis nimuSebi:
magaliTi 1. erTi normaluri populaciidan aRebulia n 10 moculobis
SerCeva, romlisTvisac xn
23, s ' 1
4 da misgan damoukidebeli meore
normaluri populaciidan aRebulia m 8 moculobis SerCeva, romlisTvisac
ym
26, s ' 2
5. orive populaciis dispersiebi tolia. 0.05 mniSvnelovnebis
doniT SeamowmeT aris Tu ara gansxvaveba saSualoebs Soris.
amoxsna. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi:
H0 : a1 a2
0, H1 : a1 a2
0. kriteriumi ormxrivia. kritikuli mniSvnelobebia:
CV . . tn m2, /2
t16,0.025
2.12 . vipovoT saerTo dispersiis Sefaseba:
'2 1 '2 '2 1
s nm ,
[( n 1) s1 ( m 1) s2
] (9 16 7 25) 19.94
nm2 10 82
.
gamovTvaloT kriteriumis mniSvneloba:
( xn
ym) ( a1 a2) (2326) 0
T. V. t 1.42
.
'
s 1/ n1/ m 19.94 1/10 1/8
nm ,
vinaidan T. V. C. R.
, amitom ZiriTadi hipoTezis uaryofis safuZveli
ara gvaqvs, anu saSualoebs Soris gansxvaveba ar aris arsebiTi.
magaliTi 2. ori damoukidebeli populaciidan, romelTa dispersiebi
tolia, aRebulia 15-is toli moculobis SerCevebi da gamoTvlilia
saSualoebi da Sesworebuli SerCeviTi dispersiebi: xn
132.45 , s '2
1
123;
ym
128.06 , s '2
2
95. igulisxmeT, rom populaciebi normaluradaa ganawilebuli
da SeadareT erTmaneTs maTi saSualoebi. aageT 95%-iani ndobis intervali
saSualoTa sxvaobisaTvis.
amoxsna. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi:
H0 : a1 a2
0, H 1
: a 1
a
2
0. kriteriumi marcxena calmxrivia, amitom kriti-
150