Tsu-2011 - ieeetsu
Tsu-2011 - ieeetsu
Tsu-2011 - ieeetsu
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Tavi XI<br />
oramokrefiani amocanebi populaciaTa dispersiebisaTvis<br />
hipoTezaTa Semowmeba ori damoukidebeli normaluri<br />
populaciis dispersiebis Sesaxeb<br />
2<br />
2<br />
Na (<br />
1, 1)<br />
da Na (<br />
2, 2)<br />
damoukidebelia; orive populaciis parametrebi<br />
ucnobia.<br />
kriteriumi:<br />
ormxrivi marjvena calmxrivi marcxena calmxrivi<br />
2 2<br />
H : / 1<br />
2 2<br />
H : / 1<br />
2 2<br />
H : / 1<br />
0 1 2<br />
2 2<br />
0 1 2<br />
H : / 1<br />
0 1 2<br />
2 2<br />
0 1 2<br />
H : / 1<br />
164<br />
0 1 2<br />
2 2<br />
0 1 2<br />
H : / 1<br />
2 2<br />
hipoTeza: H0 : 1 / 2<br />
1<br />
mniSvnelovnebis done: <br />
'2 2<br />
S1 / 1<br />
kriteriumis statistika: F F( n 1, m1)<br />
-- fiSeris<br />
'2 2<br />
S2 / 2<br />
ganawileba n 1 da m 1 Tavisuflebis xarisxebiT (sadac n da m<br />
SerCevebis moculobebia)<br />
'2<br />
s1<br />
kriteriumis mniSvneloba T.V.: f <br />
'2<br />
s2<br />
alternativa kritikuli are C.R. ( H0<br />
-is uaryofis are)<br />
2 2<br />
H1 : 1 / 2<br />
1<br />
f Fn<br />
1, m1,<br />
<br />
,<br />
2 2<br />
H1 : 1 / 2<br />
1<br />
0 f F n 1,<br />
m1,<br />
1<br />
,<br />
2 2<br />
H1 : 1 / 2<br />
1<br />
0 f F n 1,<br />
m1,1<br />
<br />
/ 2 an f Fn<br />
1, m1, /2<br />
(sadac Fkl<br />
,, <br />
aris k da l Tavisuflebis xarisxis mqone fiSeris ganawilebis<br />
zeda -kritikuli wertilia anu kritikuli mniSvneloba C.V.).<br />
(1 )<br />
saimedoobis ndobis intervali dispersiaTa <br />
2 2<br />
1<br />
/ <br />
2<br />
fardobisaTvis<br />
'2 '2 2 2 '2 '2<br />
F s / s <br />
/ F s / s .<br />
n1, m1,1 /2 2 1 1 2 n1, m1, /2 2 1<br />
dispersiaTa tolobis Sesaxeb hipoTezaTa Semowmebis<br />
gamartivebuli procedura:<br />
2 2<br />
hipoTeza: H0 : 1 / 2<br />
1<br />
mniSvnelovnebis done: <br />
'2 '2<br />
max{ s1 , s2}<br />
kriteriumis statistikis mniSvneloba T.V.: f <br />
'2 '2<br />
min{ s1 , s2}<br />
alternativa kritikuli are C.R. ( H0<br />
-is uaryofis are)
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