Ngā Tatauranga: He Pou Matua mō te Whakataunga
He peka nui te tatauranga o te pūtaiao, ā, he tūranga matua tōna i roto i ngā momo ao o ia rā, mai i te rangahau pūtaiao ki te whakatau kaupapa i roto i te pakihi me te kāwanatanga. Mā te tukatuka me te tātari raraunga, ka whakaratohia e te tatauranga he turanga pakari mō te whakatau tika me te whai whakaaro. Ka ruku hohonu ake tēnei tuhinga ki te whakamārama he aha te tatauranga, tōna hītori, ngā tikanga e whakamahia ana, me ōna tono i roto i ngā momo mara.
Te Mārama ki ngā Tatauranga
I te nuinga o te wā, ko te tatauranga te pūtaiao e pā ana ki te kohikohi, te tātari, te whakamārama, te whakaaturanga, me te whakarite raraunga. Ehara i te mea ko te tukatuka noa i ngā tau ngā tatauranga; engari ko te mārama ki ngā tauira me te whakatau i ngā kaupapa here e ahu mai ana i ngā taunakitanga. E rua ngā wāhanga matua o te tatauranga: te whakaahua me te whakatau. Ko te tatauranga whakaahua e pā ana ki te whakarite me te whakamārama raraunga, ko te tatauranga whakatau ia e whakamahi ana i ngā tauira raraunga hei whakatau tata, hei matapae rānei mō tētahi taupori nui ake.
Te Hītori o te Whanaketanga o ngā Tatauranga
Ka taea te whai i te hītori o ngā tatauranga i ngā wā onamata, i te wā i whakamahia ai ngā tataunga tau e ngā iwi pērā i a Īhipa, Pāpurona, me Rōma mō ngā mahi whakahaere me ngā mahi tāke. Heoi, kāore i puta ngā whanaketanga nui o ngā tatauranga tae noa ki te rautau 17 me te 18 i Ūropi.
I te rautau 17, i tuhia e John Graunt, he tohunga tatauranga Ingarihi, te pukapuka "Natural and Political Observations Made upon the Bills of Mortality," e kiia ana ko tētahi o ngā mahi tuatahi ki te whakamahi i ngā tikanga tatauranga hei ako i ngā raraunga mate. I taua wā anō, i te rautau 18, i whakauruhia e te tohunga pāngarau Huiterangi a Jakob Bernoulli te ariā tūponotanga, ā, i noho hei tūāpapa nui mō te whanaketanga o ngā tatauranga whakatau.
I te rautau 19, i whakawhanakehia e Tā Francis Galton rāua ko Karl Pearson i Ingarangi ngā ariā o te whakatauira me te hononga, koinei ngā tikanga tatauranga matua mō te kimi i ngā whanaungatanga i waenga i ngā taurangi e rua, neke atu rānei. I te rautau 20, ko te kitenga o te tikanga tātari rerekētanga e Ronald A. Fisher me te whanaketanga o te ariā tauira e Jerzy Neyman rāua ko Egon Pearson i whakakaha ake i te pūtake ariā o ngā tatauranga.
Ngā Tikanga me ngā Ariā Taketake i roto i ngā Tatauranga
1. Te Kohikohi Raraunga:
Ko te kohikohi raraunga te taahiraa tuatahi i roto i tētahi tātaritanga tatauranga. Ko ngā tikanga kohikohi raraunga ka uru atu ki ngā rangahau, ngā whakamātautau, ngā tirohanga, me te kohikohi tuhinga. He mea nui kia whakarite kia rite ngā raraunga kua kohia ki te taupori e akohia ana.
2. Whakaahuatanga Raraunga:
Ko te whakaahuatanga raraunga he whakarāpopototanga o ngā mōhiohio taketake mai i ngā raraunga kua kohia. Hei tauira, mā te whakamahi i ngā ripanga auau, ngā tohatoha auau, te toharite, te tau waenga, me te aratau. He maha hoki ngā whakairoiro pēnei i ngā kauwhata, ngā tūtohi porowhita, me ngā kauwhata pouaka e whakamahia ana.
3. Tātaritanga Whakatau:
Ko te tātari whakatau tata e kapi ana i ngā tikanga tatauranga e whakamahia ana hei whakatau whakatau mō tētahi taupori i runga i ngā raraunga tauira. Ka whakamahia e tēnei tikanga ngā ariā o te whakatau tawhā, te whakamātautau whakapae, te whakatautau, me te tātari rerekētanga hei whakatau whānui ake.
4. Te Tohatoha Tūponotanga:
Ko te tohatoha tūponotanga he mahi pāngarau e whakaatu ana i te tūponotanga o ngā putanga rerekē e puta ana i roto i tētahi whakamātautau matapōkere. Ko ētahi o ngā tohatoha rongonui ko te tohatoha noa, te tohatoha rua-ira, me te tohatoha Poisson.
5. Te Whakamātautau Whakaaro:
Ko te whakamātautau whakapae he tikanga e whakamahia ana hei whakatairite i ngā rōpū e rua, neke atu rānei, hei whakatau rānei mēnā i puta noa mai tētahi hua motuhake. Ko ngā tauira o ngā whakamātautau tatauranga ko te whakamātautau-t, te whakamātautau chi-square, me te ANOVA.
6. Te Whakamuri me te Hononga:
Ko te whakarara he tikanga hei mārama i te whanaungatanga i waenga i ngā taurangi e rua, neke atu rānei. Ko te hononga te ine i te kaha me te ahunga o te whanaungatanga i waenga i ngā taurangi e rua. He mea nui tēnei i roto i te tātari raraunga hei kimi i ngā tauira me te whakatakoto matapae.
Ngā Whakamahinga o ngā Tatauranga i ngā Marae Rerekē
1. Rangahau Pūtaiao:
I roto i te rangahau pūtaiao, ka whakamahia ngā tatauranga hei hoahoa i ngā whakamātautau, hei tātari i ngā raraunga whakamātautau, me te whakatau i ngā whakatau tika. Ka āwhina ngā tatauranga i ngā kairangahau ki te mārama ki ngā āhuatanga uaua me te waihanga tauira hei matapae i ngā putanga.
2. Pakihi me te Ōhanga:
I te ao pakihi, ka whakamahia ngā tatauranga mō te tātari mākete, te matapae hoko, te whakahaere mōrearea, me te whakatau pūtea. Hei tauira, ka taea e ngā kamupene te whakamahi i te tātari raraunga kiritaki hei tautuhi i ngā au me te whakapai ake i ā rātou rautaki hokohoko.
3. Hauora me te Rongoā:
I roto i te hauora, ka whakamahia ngā tatauranga hei tātari i ngā raraunga hauora, hei whakawhanake i ngā whakamātautau haumanu, hei aromatawai i te whai huatanga o te maimoatanga, me te mārama ki te mate urutā. He mea nui te tātari tatauranga ki te whakatakoto i ngā taunakitanga kaupapa here hauora.
4. Te Kāwanatanga:
Ka whakamahia e ngā kāwanatanga ngā tatauranga hei whakawhanake i ngā kaupapa here tūmatanui e ahu mai ana i ngā raraunga, pērā i te whakatakoto tahua, te whakamahere whanaketanga, me te tātari taupori. Mā ngā raraunga tatauranga ka mārama ki ngā take pāpori me ngā take ōhanga uaua.
5. Te Hangarau me te Ahumahi:
I roto i te hangarau me te ahumahi, ka whakamahia ngā tatauranga mō te whakahaere kounga, te arotau tukanga, me te hoahoa hua. Ka āwhina ngā tikanga tatauranga pēnei i te Six Sigma me te Data-Driven Analysis ki te whakapai ake i te whai huatanga me te whai huatanga o te mahi.
Ngā Wero me ngā Whanaketanga o Nāianei i roto i ngā Tatauranga
Kei te tere tonu te whanaketanga o ngā tatauranga o ēnei rā, inā koa ngā whanaketanga o te hangarau rorohiko me ngā raraunga nui. Heoi anō, he maha ngā wero e pā ana ki ngā tohunga tatauranga. Ko tētahi o ēnei ko te whakahaere i te nui o te rahinga, te tere, me te whānuitanga o ngā raraunga i tēnei wā raraunga nui. Kei te tīmata hoki ngā rauropi ako mīhini me te mātauranga horihori (AI) ki te whakahaere i te tātari raraunga, me te hiahia kia kaha ake te whakauru i waenga i ngā tatauranga tuku iho me ngā hangarau hou.
Hei tāpiritanga, ko tētahi atu wero ko te whakarite kia whakamahia ngā raraunga i runga i te matatika, kia tiakina hoki te tūmataitinga o te tangata takitahi. I te mea ka nui haere ngā raraunga e kohia ana, he mea nui kia piri ngā kairangahau tatauranga ki ngā paerewa matatika me te pupuri i te tūmataitinga o ngā raraunga.
Whakamutunga
He taputapu kaha ngā tatauranga mō te whakatau me te rangahau. Mā te whakamahi i ngā tikanga me ngā tikanga tatauranga e tika ana, ka taea e tātou te mārama ake ki te ao, te whakatau tika, me te whakatau whakaaro nui ake. Mai i tōna hītori roa ki tōna whanaketanga o nāianei, kei te noho tonu ngā tatauranga hei pou matua i roto i ngā momo mara, hei āwhina i te tangata ki te mārama ki ngā uauatanga o te ao me te whakatau i runga i ngā raraunga pono.
