Ɗakin gwajin roulette · Ɗakin gwaji · Ƙididdiga · minti 8

Muhimmancin ƙididdiga

“Mai muhimmanci” yana nufin abin da da wuya ya faru a dabaran mai adalci, ba “na gaskiya” ba, kuma ba “mai kawo riba” ba.

Amsa a taƙaice

p-value na 0.05 yana nufin dabaran mai adalci zai ba da tsari mai karkata haka sau ɗaya cikin ashirin. Idan kuka duba dabaran ashirin, ɗaya zai wuce gwajin bisa kuskure.

al'ada
p < 0.05
yawan sakamakon ƙarya
5% a kowane gwaji
magani
maimaitawa
abin da ba shi ba ne
p(dabaran ya karkata)

Mene ne p-value

YiwuwarlissafiYiwuwaDamar faruwar wani sakamako, daga 0 zuwa 1 ko daga 0% zuwa 100%. Lamba ɗaya: 1/37 = 2.70%.Karanta gaba ɗaya → ganin bambanci da ya kai girman wanda aka gani ko fiye, idan dabaran mai adalci ne. Magana ce game da bayanai a ƙarƙashin wani zato, ba game da dabaran ba. p-valuegwajip-valueYiwuwar ganin bambanci da ya kai girman wanda aka gani ko ya fi shi, idan dabaran yana da adalci.Karanta gaba ɗaya → na 0.03 yana cewa: dabaran mai adalci yana yin haka a 3% na lokaci. Ba ya cewa: akwai yiwuwar 97% cewa dabaran ya karkata. Magana ta biyu za ta buƙaci sanin yadda dabaran da suka karkatagwajiDabaran da ya karkataDabaran da lahaninsa na zahiri ke sa wasu ramuka su fi yiwuwa fiye da 1/37. Ba kasafai ake samunsa ba, kuma sai da dubban juye-juyen da aka rubuta ake iya gane shi.Karanta gaba ɗaya → suke da yawa tun farko, kuma a gidan caca na zamani suna da ƙaranci sosai, abin da ke sa sakamako guda mai muhimmanci ya fi yiwuwa ya zama kwatsam fiye da abin gano.

maganadaidai ne?
p = 0.03 yana nufin dabaran mai adalci yana ba da bayanai masu tsanani haka a 3% na lokacieh
p = 0.03 yana nufin akwai yiwuwar 97% cewa dabaran ya karkataa'a
p = 0.03 yana nufin ramin mai zafi zai ci gaba da zafia'a
p = 0.03 bayan duba dabaran 30 hujja ce mai ƙarfia'a; ana tsammanin sakamako ɗaya ko biyu irin wannan bisa kwatsam
p = 0.03 sau biyu, a samfura biyu masu zaman kansu daga dabaran gudayanzu ya cancanci kulawa

Kwatance da yawa

Kowane gwaji da kuka yi a kan dabaran mai adalci yana da damar 5% ta wucewa a matakin 5%. Ku gwada dabaran ashirin, ɗaya zai wuce. Ku gwada dabaran ɗaya a lokuta ashirin daban-daban, ɗaya zai wuce. Ku gwada samfuri ɗaya da rukunonin ramikayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → 37, rukunonin sashedabaranSasheRamuka da ke bin juna a jere a kan dabaran kamar baka, sabanin ƙungiyar lambobi a kan teburin caca.Karanta gaba ɗaya → shida da rukunonin launi uku, wani abu zai wuce. Maganin shi ne a yanke shawarar gwajin kafin a kalli bayanan, a yi shi sau ɗaya, sannan a tabbatar a kan sabbin bayanai. Duba dabaran da yawa da ke gano dabaran da “ya karkata” shi ne yawanci yake haifar da sakamakon.

Yiwuwar aƙalla sakamakon ƙarya ɗaya a p < 0.05%
gwaji 1
5%
gwaje-gwaje 5
23%
gwaje-gwaje 10
40%
gwaje-gwaje 20
64%
gwaje-gwaje 37 (ɗaya a kowane rami)
85%
%
042.5085%
1 − 0.95ⁿ. Gwada kowane rami daban kusan tabbas ne zai gano ɗaya “mai muhimmanci”.

Muhimmanci da girma

Samfuri mai girma sosai zai iya sa ƙaramar karkata ta zama mai muhimmanci. Ramin da ke faɗawa a 1/36.5 maimakon 1/37 ainihin lahani ne wanda zai kai matakin muhimmanci a cikin juye-juye miliyoyi kaɗan, kuma duk da haka zai yi asara a kan biyankuɗiBiyaAbin da cacar da ta ci ke dawowa da shi, ana faɗinsa a matsayin “X zuwa 1” a kan kuɗin cacar da aka mayar.Karanta gaba ɗaya → 35 zuwa 1. Abin da ke da muhimmanci ga ɗan wasa shi ne girman tasiri: akwai ramin da ke faɗawa a 1/36 ko fiye, kuma da nawa? Chi-square yana gaya muku game da dabaran; yawan faɗawa kaɗai ne ke gaya muku game da cacar.

Ƙarfin gwaji

Ɗaya kuskuren shi ne rasa karkatar da take akwai. Da juye-juye 1,000, rami a 1/30 (karkata mai girma sosai) ana gano shi kusan rabin lokaci kawai a matakin 5%. Girman samfuri ne ke gyara wannan, ba wayo ba. Shafin Girman samfuri yana ba da lambobin.

Ma'auni na aikace

Don iƙirarin karkata ya zama mai ban sha'awa: gwajin da aka zaɓa tun farko, p < 0.01 maimakon 0.05, maimaitawa a kan samfuri mai zaman kansa mai girma kusan iri ɗaya, da ƙiyasin yawan faɗawa a ramukan da ake fifitawa na 1/34 ko fiye bayan maimaitawa. An cimma wannan ma'auni sau kaɗan a tarihin wasan, kuma, gwargwadon abin da bayanan jama'a suka nuna, ba a taɓa cimma shi a kan dabaran zamani da ake kula da shi ba.

Tambayoyi

Me ya sa 0.05?

Al'ada ce tun shekarun 1920. Babu wani abu na musamman game da shi; 0.01 ma'auni ne mafi dacewa idan kuna duba dabaran da yawa.

Idan p ya yi ƙanƙanta sosai, tabbas dabaran ya karkata?

Watakila ba ya ba da sakamako daidai-wa-daida. Zai iya zama tasirin croupier, kuskuren rubutu ko matsalar shigar da bayanai. Ku maimaita.

Sakamako mai muhimmanci yana gaya mini wane rami zan yi caca a kai?

A'a. Yana gaya muku rabe-raben ba daidai ba ne. Nazarin sassan dabaran da girman tasiri ne ke gaya muku inda.

Nishaɗi da lissafi

Ku fara gwada waɗannan da kanku. Kowace mafita a naɗe take; ku buɗe ta idan kun shirya.

  1. A wani dabaran mai sifilidabaranSifiliRamin kore guda ɗaya da babu cacar ɗaya zuwa ɗaya, ta dozin ko ta ginshiƙi da ke rufe shi; tushen fifikon gidan caca. Ana kuma kiransa: sifili ɗaya, 0.Karanta gaba ɗaya → biyu da aka ruwaito, dozincacaDozin1–12, 13–24 ko 25–36, biya 2:1.Karanta gaba ɗaya → na farko ya fito sau 742 cikin juye-juye 3,000. Standard deviationlissafiStandard deviationTushen murabba'i na bambancin sakamako; nisan da sakamako ke yawan yi daga ƙimar da ake tsammani.Karanta gaba ɗaya → nawa ne wannan ƙasa da matsakaici, kuma sau nawa dabaran mai adalci zai yi haka?

    Nuna mafita

    Amsa Kusan standard deviation 8.1 ƙasa. Dabaran mai adalci zai yi haka kusan sau ɗaya cikin gwaji 3 × 10¹⁵, wato ba zai taɓa ba. Amsar da aka buga tare da tambayar ta ce 11.75; mu muna samun 8.07.

    Dozin na farko yana ɗauke da 12 daga cikin ramukakayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → 38. A cikin juye-juye 3,000 yana da matsakaicin fitowa 3,000 × 12/38 = 947.4, da yaɗuwa ta √(3,000 × 12/38 × 26/38) = 25.5.

    742 yana ƙasa da matsakaicin da 205.4: 205.4/25.5 = yaɗuwa 8.07.

    Dabaran mai adalci yana gaza da yaɗuwa uku kusan sau ɗaya cikin gwaji 740; da yaɗuwa takwas, kusan sau ɗaya cikin 3 × 10¹⁵ (lanƙwasar ƙararrawa, ɓangare ɗaya). La'akari da cewa mai karatu ya lura da mafi muni cikin dozin uku ba ya canza wani abu mai muhimmanci. Sakamako irin wannan yana nuna cewa dabaran, ko ƙirgen, ba daidai ba ne. A dabaran mai sifili ɗaya, ƙirge iri ɗaya zai kasance yaɗuwa 9.0 ƙasa (matsakaici 973.0, yaɗuwa 25.6).

Ɗan barkwanci

Ɗaya cikin dabaran masu adalci ashirin yana “da muhimmanci”. Abin da lambar ke nufi ke nan.

Ɗaya cikin dabaran masu adalci ashirin yana “da muhimmanci”. Abin da lambar ke nufi ke nan.

Majiyoyi

  1. Pearson, K. “On the criterion that a given system of deviations from the probable…” Philosophical Magazine 50(302), 1900.
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, bugu na 3, 1968. Ƙarewar jarin ɗan caca, babi na XIV.
  3. Wizard of Odds. “Ask the Wizard”, tambayoyi kan roulette. An sabunta 3 ga Agusta, 2026.
an duba 2026-09-28samfuri: na Turai, sifili ɗayahanyar aiki ↗majiyoyi ↗