Correlation coefficient - chimiro chemuenzaniso wekubatanidza

Muenzaniso wekubatanidza (CM) chirongwa chekuverenga chinopa mazamu ekubatanidza umo chiratidzo chinoshanda chinogadziriswa zvichienderana nechimwe kana zviratidzo zvakawanda.

Yx = a0 + a1x1

Ikoko: y - chiratidzo chinoguma, zvichienderana nechikonzero x;

X ndicho chinhu chinoratidza;

A1 ndiyo CM parameter inoratidza kuti zviyamu zvinokonzerwa nei zvichizochinja sechikonzero x chinoshandiswa nemumwe, kana pane izvi zvimwe zvose zvinokonzera y hazvigoni kuchinjwa;

Ao ndiye CM parameter, iyo inoratidza kukanganisa kwezvimwe zvinhu zvose pamusoro pechiratidzo chekupedzisira, kunze kwechiratidzo chechina x

Pakusarudza kushanda uye kugadzirisa zviyero zvemuenzaniso, zvakakosha kufunga nezvekuti chiratidzo chinoguma chiri mumaketani ekonzera-hukama hwehukama huri panzvimbo yakakwirira kudarika iyo inoratidza nhamba.

Zviratidzo zvemuenzaniso wekubatanidza

Mushure mokuverenga mitsara yemuenzaniso wekubatanidza, chiyero chekubatanidza chinoverengwa.

P ndiyo coefficient of pair correlation, -1 ≤ p ≤ 1, inoratidza simba uye kutungamirirwa kwechikonzero chechimwe chinhu chinokonzera. Iyo iri pedyo ne1, iyo yakasimbiswa kuwedzerwa, iri pedyo ne0, iyo yakasimbiswa kuyanana. Kana kuwirirana kwekubatana kuchiine kukosha kwakanaka, ipapo kuwirirana kwakananga, kana zvisina kunaka iyo inopesana.

Kuenderana kwekubatana kwemuumbi: pxy = (xy-x * 1 / y) / yei yei

Ex = xx2- (x) 2; Yy = y2- (y) 2

Kana CM iine michina yakawanda, ine fomu:

Yx = a0 + a1x1 + a2x2 + ... + anxn

Zvadaro huwandu hwakawanda hwekubatana hunoverengerwa.

0 ≤ Р ≤ 1 uye inoratidza simba rekutungamirirwa kwezvinhu zvose zvinokonzera pamwe pane zvinoguma.

P = 1- ((yx-yu) 2 / (yu-oo) 2)

Kupi: yh - chiratidzo chinokonzera - kukosha kwakatarwa;

Yi - iyo chaiyo kukosha;

Zvechokwadi kukoshesa, chiyero.

Nhamba yakatarwa ye yx inowanikwa semugumisiro wekuisa panzvimbo yekufananidza kwemuenzaniso we x1, x2 Uye zvakadaro. Maitiro avo chaiwo.

Pamusana pechimwe chinhu-uye maitiro akawanda asingasviki, urongwa hwekubatanidza hunoverengwa:

-1 ≤ m ≤ 1;

0 ≤ m ≤ 1

Zvinotendwa kuti ukama huripo hunobatsira uye izvo zvinokonzerwa nemuenzaniso zvinosvibiswa kana kukosha kwechisimba chiyero chekutaurirana (m) chiri mukati me 0-0.3; Kana 0,3-0,7 - kusimba kwekubatanidza kuripo; Pamusoro pe 0.7-1 - kubatana kwakasimba.

Sezvo kuwirirana kwekubatana (pairi) p, kukwana kwekubatanidza (dzakawanda) P, kuwirirana kwemamiriyoni mzvimwe zvinokonzera, saka inhengo dzekukosha kwayo dzinoverengerwa kwavari (dzakatemwa kubva pamatafura). Kana aya coefficients ari makuru kudarika mazita avo, ipapo kusungirirwa kweiyo mamiriro ekubatana kune zvikonzero zvinokosha. Kana iyo coefficients yezvinhu zvekusimba kwekubatanidza iri pasi peiyo yakatarwa kana kuti kana kubatanidza coefficient pachayo kunopfuura 0.7, zvino mufananidzo hauna kusanganisira zvinhu zvose zvinonyanya kuipa chigumisiro.

Ikoji yekutonga inoratidza zvakajeka kuti zvikamu zvepakati zvinowanikwa mumuenzaniso zvinogadzira kuumbwa kwegumisiro.

D = P2 * 100%

D = p2 * 100%

D = m2 * 100%

Kana iyo yekodzero yekutsanangurira inopfuura makumi mashanu, saka iyo muenzaniso inotsanangura zvakajeka nzira iri kuongororwa, kana zvisingasviki makumi mashanu, saka tinofanira kudzokera kumusara wekutanga wekuvaka nekudzokorora kusarudzwa kwezviratidzo zvekuti zviiswe mumuenzaniso.

Fisher coefficient kana muongorori weFisher anoratidza kubudirira kwemuenzaniso wose. Kana kuyerwa kwekokuita kweiwaniki kunodarika kukoshesa kwekukosha, ipapo chivakwa chakavakwa chakakodzera kuongororwa, uyewo zvirongwa zvekugadzirira, kuverenga kwezveramangwana. Inosvika patafura = 1.5. Kana huwandu hunofungidzirwa huri pasi pehuwandu hwakakosha, zvinokosha kuvaka chimiro chekutanga, kusanganisira zvinhu zvinonyanya kuchinja chigumisiro. Mukuwedzera pakubudirira kwemuenzaniso wega wega, rimwe nerimwe rekugadzirisa rinokonzera zvinhu. Kana kukosha kwechiyero ichi chepakati ichi kudarika zvakakosheswa, zvino coefficient regression ichave yakakosha, kana ichinge ishoma, saka icho icho icho chiyero ichi chinotorwa chakabviswa kubva muenzaniso, kuverenga kutanga kutanga, asi pasina chinhu ichi.