LABƐKSPƐRIMƐNT 06df = 36α = 0.05sid 99

Rulɛt wil bayas

Rulɛt wil we gɛt bayas de pik sɔm pɔkit mɔ pas di ɔda dɛn bikɔs fɔ wan prɔblɛm na di bɔdi: pɔkit wɔl we lus, rotɔ we nɔ ivin, pɔkit we dɔn wɛr. Rulɛt wil bayas de, ɛn pipul dɔn yuz am. Di prɔblɛm na se wil we fɛr ful de mek “ɔt nɔmba” ɔltɛm. So di kwɛstyɔn nɔto ɛva if wan nɔmba ɔt, bɔt if di ɔl patɛn nɔ ivin pas wetin chans kin gi.

1. Tek sampul frɔm fɛr wil

Spin we wi drɔ frɔm wil we wi simulet, we nɔ gɛt bayas atɔl. Chenj ɔmɔs tɛm yu tɛst ɛn wach di pɔkit we ɔt pas ɔl.

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spin370
wetin fɔ ɛkspɛkt fɔ ɛni pɔkit10.0
di pɔkit we ɔt pas ɔl20 · 16 tɛm (4.32%)
di pɔkit we ɔt pas ɔl pan wetin fɔ ɛkspɛkt+60% · 1.9σ
chi-skwɛ · p32.8 · 0.622
jɔjmɛntnatin nɔ sho se bayas de

2. Wetin wi si ɛn wetin fɔ ɛkspɛkt

Ɛni ba na wan pɔkit na di ɔda pan di wil. Di lain wit dash na di nɔmba we fɔ ɛkspɛkt, n/37. Di bɛlt we gɛt shed na ±2 standad diviyeshɔn: pan fɛr wil, lɛk wan pɔkit pan twɛnti go pas am bay chans nɔmɔ.

0pɔkit dɛn na di ɔda pan di wil →26

3. Chi-skwɛ tɛst

Di tɛst de ad ɔmɔs ɛni pɔkit fa frɔm wetin fɔ ɛkspɛkt, we dɛn skwɛ am ɛn skel am. Pan fɛr wil, di tɔtal de fala chi-skwɛ distribyushɔn wit 36 digri fɔ fridɔm; p-valyu ɔnda 0.05 na wetin dɛn kin kɔl signifikant.

χ² = Σ (Oᵢ − Eᵢ)² / Eᵢ Eᵢ = n/37 df = 36
n = 370 · E = 10.00 · χ² = 32.80 · p = 0.622
Wɔnin bɔt ɔmɔs tɛm yu tɛstƆnda lɛk 1,000 spin, di tɛst nɔ gɛt pawa fɔ fɛn bayas we kin rial, ɛn “signifikant” rizɔlt pan p < 0.05 go kam bay chans 1 tɛm insay ɛni 20 fɛr sampul we yu luk. If yu tɛst bɔku wil, ɔ yu tɛst di sem wil bak ɛn bak te i pas, yu go shɔ gɛt fɔls pɔsitiv.

4. Ɔmɔs spin yu go nid

Di spin dɛn we yu nid fɔ si se wan pɔkit de nak mɔ pas 1/37, pan wan-sayd 5% lɛvul wit 80% pawa. Pɔkit we de nak 1 tɛm insay 35 instɛd fɔ 1 insay 37 go bi big advantej fɔ pleya, ɛn i de tek tɛn tɛn tawzin spin we yu rayt fɔ kɔnfam am.

tru raytpleya in advantejspin we yu nidpan 40 spin/awa
1 insay 25+44.0%1,10828 awa
1 insay 30+20.0%4,392110 awa
1 insay 33+9.1%15,747394 awa
1 insay 35+2.9%69,4611,737 awa
Fɔ kɔnfam bayas min se yu fɔ rayt spin nɛt afta nɛt, tɛn tɛn tawzin pan dɛn.

Mɛtɔdɔlɔji

Sampul. Ivin drɔ frɔm 37 pɔkit wit jenereta we gɛt sid (mulberry32, sid 99), so di pej kin kam di sem we bak.
Tɛst. Pearson chi-skwɛ tɛst fɔ fit, 36 digri fɔ fridɔm, p-valyu frɔm di regularized incomplete gamma fɔnshɔn.
Pawa. Nɔmal aprɔksimeshɔn fɔ wan-prɔpɔshɔn tɛst, α = 0.05 wan sayd, pawa 0.80.
Wetin i kɔba. Na statistikal fɛn nɔmɔ. Wi de tɔk bɔt di tin dɛn na di bɔdi we de mek am, ɛn analisis bay sɛkta (nɔto bay pɔkit), insay Fɔ stɔdi di sɛkta dɛn.

Smɔl jok fɔ ɛz di maynd

Fɛr wil de mek ɔt nɔmba ɛni nɛt. Fɔ pruf bayas, yu nid tɛn tɛn tawzin spin.

Fɛr wil de mek ɔt nɔmba ɛni nɛt. Fɔ pruf bayas, yu nid tɛn tɛn tawzin spin.

Usay wi gɛt am frɔm

  1. Pearson, K. (1900). On the criterion that a given system of deviations… Philosophical Magazine, 50(302).
  2. Thorp, E. O. (1969). Optimal gambling systems for favorable games. Review of the International Statistical Institute, 37(3).
  3. Ethier, S. N. (2010). The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer. Chapta 13, Rulɛt.