Tsu-2011 - ieeetsu

kuli mniSvneloba iqneba: CV . . tn m2, t28,0.05
1.7 . vipovoT saerTo dispersiis
Sefaseba:
'2 1 '2 '2 1
s nm ,
[( n 1) s1 ( m 1) s2
] (14 123 15 95) 109
nm2 1515 2
.
gamovTvaloT kriteriumis mniSvneloba:
( xn
ym) ( a1 a2) (132.45 128.06) 0
T. V. t 1.15
.
'
snm
,
1/ n1/ m 109 1/15 1/15
radganac 1.15 > - 1.7, amitom nulovani hipoTezis uaryofis
safuZveli ar gagvaCnia, anu ara gvaqvs sakmarisi safuZveli CavTvaloT,
rom meore populaciis saSualo ufro metia vidre pirvelis.
avagoT ndobis intervali saSualoTa sxvaobisaTvis. SevitanoT monacemebi
Sesabamis formulaSi:
'
'
(( xn y ) t s 1/ n1/ m,( xn y ) t s 1/ n 1/ m)
,
m
nm2, /2 n, m m nm2, /2 n,
m
(4.39 1.7 109 1/15 1/15,4.39 1.7 109 1/15 1/15) ,
( 2.09,10.87) .
ramdenadac ndobis intervali moicavs nuls, Cveni ara gvaqvs safuZveli
nulovani hipoTezis ukugdebis, rac eTanxmeba hipoTezis Semowmebisas
miRebul Sedegs.
Hori damoukidebeli populaciis saSualos Soris gansxvavebis
hipoTezaTa Semowmeba III
populaciebi araa normaluri, magram orive SerCevis moculoba metia
an toli 30-ze ( n 30, m 30 ) da dispersiebic ucnobia. X1,..., X
n
da
Y1,..., Y m
ori SerCevaa Sesabamisad da populaciebidan.
hipoTeza: H 0
: a 1
a
2
0
mniSvnelovnebis done:
( X ) (
1 2)
as
nY m a a
kriteriumis statistika: Z
N(0,1)
'2 '2
S / n S / m
1 2
(simbolo as niSnavs, rom sidide miaxloebiT normaluradaa ganawilebuli;
'2 n
1
S 2
1
: ( Xi
X
n)
, '2 m
1
S 2
2
: ( Yi
Y
m)
)
n1
m1
i1
( xn
ym) ( a1
a2)
kriteriumis mniSvneloba T.V.: z
'2 '2
s1 / n s2
/ m
alternativa kritikuli are C.R. ( H0
-is uaryofis are)
H1 : a1 a2
0
z z ,
H1 : a1 a2
0
z z ,
H1 : a1 a2
0
z z /2
an z
z /2
i1
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