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statistikuri funqciebi monacemTa analizisaTvis - ieeetsu

statistikuri funqciebi monacemTa analizisaTvis - ieeetsu

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x veqtoris maTematikurad dispersia 2 gamoiTvleba Semdegi formuliT:<br />

N<br />

<br />

2<br />

( xk<br />

)<br />

2 k 1<br />

<br />

N 1<br />

Tu kargad davakvirdebiT gamosaxuleba sakmaod martivia. is warmoadgens x<br />

veqtoris yoveli elementis saSualo ariTmetikulidan gadaxris mniSvnelobaTa<br />

kvadratebis jams gayofils x veqtoris <strong>monacemTa</strong> N raodenobaze erTiT nakleb<br />

sidideze da amdenad warmoadgens <strong>monacemTa</strong> saSualo sidididan gadaxris<br />

zomas. swored amitom kvadratuli fesvis mniSvnelobas dispersiidan, uwodeben<br />

saSualo kvadratul an standartul gadaxras:<br />

<br />

2<br />

<br />

nax. 1. data1 da data2 <strong>monacemTa</strong> grafikebi<br />

MATLAB-Si standartuli gadaxra gamoiTvleba std funqciiT. dispersiis<br />

gamosaTvlelad ki sakmarisia misi kvadratSi ayvana.<br />

std (x)<br />

Tu x veqtoria, es funqcia gamoiTvlis mis mniSvnelobaTa standartul<br />

gadaxras. Tu x matricaa, mogvcems striqon veqtors, romlis yoveli<br />

elementi x-is Sesabamisi svetis standartuli gadaxras warmoadgens.<br />

savarjiSo<br />

gansazRvreT Semdeg funqciaTa mniSvnelobebi, Tu mocemulia matricebi:<br />

w = [ 0 3 –2 7];<br />

x = [3 –1 5 7];<br />

1<br />

3 7 <br />

y <br />

<br />

<br />

2 8 4<br />

<br />

<br />

6 1<br />

2<br />

1. std (w)<br />

2. std (x)^2<br />

3. std (y(:2))<br />

4. std (y)

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