Tsu-2011 - ieeetsu

Tavi V
2
hipoTezaTa Semowmeba saSualosaTvis ( ucnobia)
statistikuri hipoTezis Semowmeba normaluri ganawilebis
maTematikuri lodinis Sesaxeb ucnobi dispersiis SemTxvevaSi:
N( , ); D ucnobia; E ucnobia.
hipoTeza: H 0
: E a 0
mniSvnelovnebis done:
X a0
kriteriumis statistika: T T( n 1)
'
S / n
xa0
kriteriumis mniSvneloba T.V.: t
'
s / n
alternativa kritikuli are C.R. ( H0
-is uaryofis are)
H1 : E a1 a0
t tn
1,
,
H1 : E a1 a0
t tn
1,
,
H1:
E a1
t tn
1, /2
an t
tn
1, /2
(sadac tn 1,
aris Tavisuflebis n 1 xarisxis mqone stiudentis ganawilebis
zeda -kritikuli wertili anu kritikuli mniSvneloba C.V.).
P{ T t | H0}, Tu H1 : E
a1 a0;
P - mniSvneloba: P P{ T t | H0}, Tu H1 : E
a1 a0;
=
P{| T | | t || H0}, Tu H1 : E
a1.
1 FT
( t), Tu H1 : E
a1 a0;
= FT
( t), Tu H1 : E
a1 a0;
2 [1 FT
(| t |)], Tu H1: E
a1.
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,
winaaRmdeg SemTxvevaSi amis safuZveli ara gvaqvs.
rodis gamoiyeneba Z an T ganawileba
cnobiliaTuara ?
diax
X E
gamoiyene Z
/ n
ara
aris Tu ara n 30? diax
X E
gamoiyene T
'
ara S / n
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