22.01.2014 Views

Tsu-2011 - ieeetsu

Tsu-2011 - ieeetsu

Tsu-2011 - ieeetsu

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

n<br />

2<br />

xi<br />

2 2 i 1<br />

b<br />

: Db<br />

0 0<br />

<br />

n<br />

n<br />

2<br />

2 <br />

nxi<br />

xi<br />

<br />

i1 i1<br />

<br />

<br />

<br />

<br />

, b1<br />

: Db <br />

<br />

2 2<br />

1<br />

n<br />

n<br />

2<br />

2 <br />

nxi<br />

xi<br />

<br />

i1 i1<br />

n<br />

<br />

<br />

ucnobi 2 -is Caunacvlebeli Sefaseba moicema TanafardobiT<br />

n<br />

n <br />

2 2 2<br />

i<br />

i i<br />

i1 i1<br />

.<br />

S ( e )/( n2) ( ( Y Y ) )/( n 2) SSE /( n 2)<br />

sidides S SSE /( n 2) -- standartuli Secdoma ewodeba.<br />

b<br />

0<br />

da b 1<br />

statistikebis dispersiebis Sefasebebia Sesabamisad<br />

2<br />

2 2<br />

xi<br />

Sb<br />

S <br />

<br />

0<br />

,<br />

2 2 1<br />

Sb<br />

S .<br />

n SS<br />

1<br />

SSX<br />

T<br />

b<br />

j<br />

X<br />

bj<br />

Bj<br />

t( n 2) , j 0,1. aqedan gamomdinare igeba ndobis interva-<br />

S<br />

b<br />

j<br />

B j<br />

-saTv-<br />

li B j<br />

-saTvis. mniSvnelovnebis donis mqone ndobis intervali<br />

is Semdegi saxisaa: ( bj sb tn2, /2, bj sb tn2, /2)<br />

.<br />

ganvixiloT ZiriTadi<br />

j<br />

0<br />

0<br />

:<br />

J j<br />

j<br />

H B B hipoTeza<br />

0<br />

1<br />

:<br />

J j<br />

winaaRmdeg. am SemTxvevaSi kriteriumis statistika iqneba<br />

0<br />

T ( b B )/ S t( n 2) .<br />

Tu<br />

b j j b<br />

j<br />

j<br />

H B B alternativis<br />

T<br />

b j<br />

statistikis dakvirvebuli mniSvnelobisaTvis<br />

b j<br />

t da mniSvnelovnebis<br />

donisaTvis sruldeba piroba : tb<br />

tnk<br />

1, /2<br />

, maSin uarvyofT<br />

H B B hipoTezas (Sesabamisad, vRebulobT<br />

0<br />

0<br />

:<br />

J j<br />

j<br />

0<br />

1<br />

:<br />

J j<br />

H B B hipoTezas), winaaRmdeg<br />

SemTxvevaSi H 0<br />

-is uaryofis safuZveli ar gagvaCnia.<br />

SevniSnavT, rom Tu B 1<br />

0, maSin regresiis wrfe abscisTa RerZis paraleluria,<br />

e. i. x -is cvlilebiT Y ar icvleba. Tu Cven gvinda, mniSvnelovnebis<br />

doniT, davrwmundeT, rom ar arsebobs raime (dadebiTi an uaryofiTi)<br />

wrfivi kavSiri x da Y sidideebs Soris, nulovani hipoTeza<br />

H0: B1 0 unda Semowmdes ormxrivi H 1<br />

: B 1<br />

0 alternativis winaaRmdeg. Tu<br />

gvsurs davrwmundeT dadebiTi (Sesabamisad, uaryofiTi) wrfivi kavSiris<br />

arsebobaSi, maSin vixilavT marjvena calmxriv H 1<br />

: B 1<br />

0 (Sesabamisad, marcxena<br />

calmxriv H 1<br />

: B 1<br />

0) alternativas. yvela SemTxvevaSi hipoTezis Semowmeba<br />

xdeba T : T b / S t( n 2) statistikis gamoyenebiT. gadawyvetile-<br />

1 b 1<br />

b<br />

1 1<br />

bis miRebis wesi ase yalibdeba:<br />

225

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!