Iyini i-Correlation Analysis?
Ukuhlaziywa kobudlelwano kuyindlela yezibalo esetshenziselwa ukuhlola amandla kanye nesiqondiso sobudlelwano obuqondile phakathi kwezinguquko ezimbili zenani. Lokhu kuhlaziywa kuyisisekelo emikhakheni ehlukahlukene kusukela kwezezimali kanye nezomnotho kuya kobunjiniyela kanye nesayensi yezenhlalo, okunikeza ukuqonda kokuthi izinguquko kwesinye isici zingahlotshaniswa kanjani nezinguquko kwesinye.
Izisekelo Zokuxhumana
Emongweni wayo, ukuhambisana kulinganisa ukuthi iziguquguquko ezimbili zihamba kanjani ndawonye. Uma iziguquguquko ezimbili zivame ukwanda noma ukwehla ngesikhathi esisodwa, kuthiwa zineziguquguquko ezinhle. Ngokuphambene nalokho, uma isiguquguquko esisodwa sivame ukwanda lapho esinye sincipha, sineziguquguquko ezimbi. Uma kungekho iphethini ebonakalayo ekunyakazeni kwazo, lezi ziguquguquko ezimbili azihlobene.
Ukulinganisa Ubudlelwano
Izibalo ezivame kakhulu ezisetshenziswa ekuhlaziyweni kobudlelwano yi-Pearson coefficient yokuxhumana, ekhonjiswe njenge-\( r \). Le coefficient isukela ku--1 kuya ku-1, lapho:
– \( r = 1 \): Ubudlelwano obuhle obuqondile obuphelele.
– \( r = -1 \): Ubudlelwano obuqondile obungalungile obuphelele.
– \( r = 0 \): Akukho ubudlelwano obuqondile.
Ezinye izindlela zokuqhathanisa zihlanganisa ukuhlangana kwezinga likaSpearman kanye ne-tau kaKendall, eziqinile kakhulu ebudlelwaneni obungebona obuqondile kanye nezinto ezingaphandle.
Ukubalwa kuka-r kaPearson
I-Pearson correlation coefficient ibalwa kusetshenziswa ifomula:
\[ r = \frac{\text{cov}(X, Y)}{\sigma_X \sigma_Y} \]
lapho:
– \(\text{cov}(X, Y)\) yi-covariance phakathi kwezinguquko u-X no-Y.
– \(\sigma_X\) kanye \(\sigma_Y\) yiziphambeko ezijwayelekile zika-X no-Y, ngokulandelana.
Le fomula empeleni ilinganisa i-covariance ngomkhiqizo wokuphambuka okujwayelekile kweziguquguquko, iqinisekisa ukuthi umphumela awunamkhawulo futhi ulinganiselwe phakathi kuka--1 no-1.
Ukuhunyushwa Kokuhlobana
Ukuqonda inani le-\(r \) kubalulekile ekuchazeni imiphumela yokuhlaziywa kokuhambisana. Ngokuvamile:
– 0.0 – 0.19 : Ibuthakathaka kakhulu ekuhlobaneni okungatheni.
– 0.2 – 0.39 : Ukuxhumana okubuthakathaka.
– 0.4 – 0.59 : Ukuxhumana okumaphakathi.
– 0.6 – 0.79 : Ukuxhumana okuqinile.
– 0.8 – 1.0 : Ukuxhumana okunamandla kakhulu.
Kubalulekile futhi ukuqaphela ukuthi ukuhambisana akusho ukuthi kukhona imbangela. Ukuhambisana okuphezulu phakathi kweziguquguquko ezimbili akusho ukuthi ukuguquguquka okukodwa kubangela ukuthi okunye kushintshe.
Izicelo Zokuhlaziywa Kobudlelwano
1. Ezezimali
Kwezezimali, ukuhlaziywa kobudlelwano kusetshenziswa kabanzi ukuhlola ubudlelwano phakathi kwamasheya, amabhondi, nezinye izindlela zokutshala imali. Isibonelo, ukuqonda ubudlelwano phakathi kwezimpahla ezahlukene kungasiza ekuhlukaniseni amaphothifoliyo, njengoba ukuhlanganisa izimpahla ezingahlobene noma ezihlobene kabi kunganciphisa ubungozi.
2. Ezomnotho
Izazi zezomnotho zisebenzisa ukuhlaziywa kokuhlobana ukuze zihlole ubudlelwano phakathi kwezinkomba zomnotho. Isibonelo, ubudlelwano phakathi kwamazinga okungasebenzi kanye nokukhula kwe-GDP bungahlolwa ukuze kuqondwe indawo enkulu yezomnotho.
3. Isayensi Yezempilo
Kwezesayensi yezempilo, ukuhambisana kungasiza ekuboneni ubudlelwano obungaba khona phakathi kwezici zendlela yokuphila nemiphumela yezempilo. Isibonelo, abacwaningi bangase bahlole ubudlelwano phakathi kwamazinga omsebenzi womzimba kanye namazinga okusabalala kwesifo senhliziyo.
4. Isayensi Yezenhlalo
Izazi zezenhlalo nezazi zokusebenza kwengqondo zivame ukusebenzisa ubudlelwano ukuze zifunde ubudlelwano phakathi kwezinto eziguquguqukayo ezifana namazinga emali engenayo kanye nokufinyelela kwezemfundo, noma phakathi kwamazinga okucindezeleka kanye nokusebenza komsebenzi.
Ukulinganiselwa Kokuhlaziywa Kobudlelwano
Naphezu kokusetshenziswa kwayo kabanzi, ukuhlaziywa kokuhlobana kunemikhawulo eminingana:
1. Ubudlelwano Abulingani Nembangela:
Nakuba iziguquguquko ezimbili zingase zihlobane, lokhu akusho ukuthi enye ibangela enye. Izici zangaphandle noma iziguquguquko zesithathu (iziguquguquko ezididayo) zingathonya zombili iziguquguquko, zidale ukuhlangana okungamanga.
2. Ukulingana:
Ubudlelwano bukaPearson bulinganisa ubudlelwano obuqondile kuphela. Uma ubudlelwano phakathi kweziguquguquko ezimbili bungebona obuqondile, i-coefficient yokuxhumana ingase idukise.
3. Ukuzwela Kwabangaphandle:
Ama-coefficient okuhlobana angaba bucayi kakhulu ezintweni ezingaphandle. Amanani ambalwa aqatha angaphambukisa ukuhlobana, okwenza kubonakale kunamandla noma kubuthakathaka kunalokho okuyikho ngempela.
4. Ukufana:
I-coefficient yokuxhumana ithatha ukulingana kokuhlukahluka kulo lonke ububanzi bezinto eziguquguqukayo. Uma lokhu kucatshangwa kwephulwa, kungaholela eziphethweni ezingalungile.
Amasu Okuhlobana Okuthuthukisiwe
Ukuze kulwiwe neminye yale mikhawulo, kungasetshenziswa izindlela ezahlukahlukene ezithuthukisiwe:
– Ubudlelwano Obuyingxenye: Le ndlela ilinganisa ubudlelwano phakathi kweziguquguquko ezimbili ngenkathi ilawula umphumela weguquguquko elilodwa noma ngaphezulu ezengeziwe.
– Ubudlelwano be-Canonical: Lokhu kusetshenziselwa ukuqonda ubudlelwano phakathi kwamasethi amabili eziguquguquko, kunokuba kube yiziguquguquko ezimbili ngazinye.
– Ukuhlaziywa Kwezinto Eziningi: Amasu afana nokubuyela emuva okuningi angasiza ekuhloleni ubudlelwano phakathi kwezinto eziningi ngesikhathi esisodwa.
Izinyathelo Zokwenza Ukuhlaziywa Kobudlelwano
1. Ukuqoqwa Kwemininingwane:
Qala ngokuqoqa idatha efanele, uqinisekise ukuthi inobungako futhi ihlanganisa ububanzi bokuhlaziywa.
2. Ukuhlaziywa Okubonakalayo:
Ukudweba idatha kusetshenziswa ama-scatter plots kunganikeza umbono obonakalayo wobudlelwano ngaphambi kokwenza izivivinyo zezibalo.
3. Ukubala:
Sebenzisa isofthiwe yezibalo noma izibalo ezenziwe ngesandla ukuze unqume i-coefficient yokuxhumana.
4. Incazelo:
Hlaziya ubukhulu kanye nesiqondiso sokuhlobana, ucabangela umongo kanye nezici zangaphandle ezingaba khona.
5. Ukuqinisekiswa:
Qinisekisa imiphumela ngedatha eyengeziwe noma ezinye izindlela ukuqinisekisa ukuqina.
Isiphetho
Ukuhlaziywa kobudlelwano kuyithuluzi elinamandla elisezandleni zososayensi bezibalo, okunikeza ukuqonda okubalulekile ngobudlelwano phakathi kweziguquguquko. Kodwa-ke, kubalulekile ukuqonda ukulinganiselwa kwayo nokuyisebenzisa kanye nezinye izindlela zokufinyelela iziphetho ezinembile nezinenjongo. Uma kusetshenziswa kahle, ukuhlaziywa kobudlelwano kungakhanyisa amaphethini kanye nobudlelwano obungase buhlale bufihliwe, kuthuthukise ulwazi emikhakheni eminingi.
