TANARITTARMIT 06df = 36α = 0,05aẓar 99

Amyal n uḍebsi n rulit

Aḍebsi n rulit s umyal yesmenyaf kra n texxamin s ssebba n lɛib n tidet: lḥiḍ n texxamt yeḥlel, aqerru ur nemsawa ara, tixxamin yettwačččen. Amyal n uḍebsi n rulit yella, yettwaseqdec. Ugur d akken aḍebsi imsawi akk yettak-d «uṭṭunen yeḥman» yal tikkelt, ihi asteqsi mačči d ma yella uṭṭun yeḥma, d ma yella talɣa meṛṛa ur temsawa ara ugar n wayen yettaǧǧa zzher.

1. Tagrumma n uḍebsi imsawi

Tuzzyiwin yettwasuffɣen seg uḍebsi yettwasimulin war amyal akk. Beddlet tiddi n tegrumma u walit taxxamt yeḥman aṭas.

0321519421225173462713361130823105241633120143192218297281235326
tuzzyiwin370
ayen yettwaṛǧan i yal taxxamt10,0
taxxamt yeḥman aṭas20 · 16 n tikkal (4,32%)
yeḥman aṭas mgal ayen yettwaṛǧan+60% · 1,9σ
chi-square · p32,8 · 0,622
taggraytulac abeggen n umyal

2. Ayen yettwalan mgal ayen yettwaṛǧan

Yal afeggag d taxxamt s umyizwer n uḍebsi. Ajerriḍ s tizlilin d amḍan yettwaṛǧan, n/37. Tasfift yettwasebrken d ±2 n ubeɛɛed alugan: ɣef uḍebsi imsawi qrib yiwet n texxamt seg ɛecrin ad teffeɣ beṛṛa-s s zzher kan.

0tixxamin s umyizwer n uḍebsi →26

3. Akayad chi-square

Akayad yessemrennay acḥal yebɛed yal taxxamt ɣef wayen yettwaṛǧan, s umkuẓ-is yettwabḍan ɣef wayen yettwaṛǧan. Ɣef uḍebsi imsawi, amatu yeḍfer abeṭṭu chi-square s 36 n tfesniwin n tlelli; azal p ddaw 0,05 qqaren-as s umata adaddan.

χ² = Σ (Oᵢ − Eᵢ)² / Eᵢ Eᵢ = n/37 df = 36
n = 370 · E = 10,00 · χ² = 32,80 · p = 0,622
Ɣur-wat ɣef tiddi n tegrummaDdaw qrib 1 000 n tuzzyiwin, akayad ur yesɛi qrib ara tazmert ad d-yaf amyal n tidet, u agmuḍ «adaddan» s p < 0,05 ad d-yeffeɣ s zzher deg 1 seg yal 20 n tegrummiwin imsawin i twalam. Akayad n waṭas n yiḍebsiyen, neɣ aɛiwed n ukayad n yiwen uḍebsi ar ad yeɛdu, yeḍmen igmaḍ n lekdeb.

4. Acḥal n tuzzyiwin ara tesrem

Tuzzyiwin yettusran akken ad d-naf yiwet n texxamt i d-yeffɣen ugar n 1/37, ɣer uswir 5% seg yiwet n tama s tezmert n 80%. Taxxamt i d-yeffɣen 1 tikkelt deg 35 deg wadeg n 1 deg 37 d lmaziyya tameqqrant i umurar, u tesra timerwin n yigiman n tuzzyiwin yettwarun akken ad tettwasentem.

afmiḍi n tidetlmaziyya n umurartuzzyiwin yettusrans 40 n tuzzyiwin/sr
1 seg 25+44,0%1 10828 sr
1 seg 30+20,0%4 392110 sr
1 seg 33+9,1%15 747394 sr
1 seg 35+2,9%69 4611 737 sr
Asentem n umyal yebɣa ad yini tira n tuzzyiwin iḍ deffir iḍ, timerwin n yigiman seg-sent.

Tarrayt

Tagrumma. Asuffeɣ imsawi seg 37 n texxamin s umsirew s uẓar (mulberry32, aẓar 99), ihi asebter yettɛawad-d iman-is.
Akayad. Akayad n umṣada chi-square n Pearson, 36 n tfesniwin n tlelli, azal p seg twuri gamma ur nemmid yettwasegrewen.
Tazmert. Asemqareb s ubeṭṭu anurmal (n Gauss) i ukayad n yiwen n ufmiḍi, α = 0,05 seg yiwet n tama, tazmert 0,80.
Taɣult. Tifin s tidaddanin kan. Ssebbat n tidet d tesleḍt s tigezmin (mačči s texxamin) ttwaglment deg Tasleḍt n tigezmin.

Taḍsa i usgunfu

Aḍebsi imsawi yettak-d uṭṭunen yeḥman yal iḍ. Asbeggen n umyal yesra timerwin n yigiman n tuzzyiwin.

Aḍebsi imsawi yettak-d uṭṭunen yeḥman yal iḍ. Asbeggen n umyal yesra timerwin n yigiman n tuzzyiwin.

Iɣbula

  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. Ch. 13, Roulette.