statistikuri funqciebi monacemTa analizisaTvis - ieeetsu
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)