ꯂꯦꯕꯑꯦꯛꯁꯄꯦꯔꯤꯃꯦꯟꯠ 06df = 36α = 0.05ꯁꯤꯗ 99

ꯔꯨꯂꯦꯠ ꯆꯛꯔꯒꯤ ꯕꯥꯏꯌꯥꯁ

ꯕꯥꯏꯌꯥꯁ ꯂꯩꯕ ꯔꯨꯂꯦꯠ ꯆꯛꯔ ꯑꯃꯅ ꯍꯛꯆꯥꯡꯒꯤ ꯑꯁꯣꯏꯕ ꯑꯃꯒꯤ ꯃꯔꯃꯗ ꯄꯣꯀꯦꯠ ꯈꯔꯗ ꯍꯦꯟꯅꯥ ꯊꯣꯀꯍꯜꯂꯤ: ꯂꯣꯠꯂꯕ ꯐ꯭ꯔꯦꯠ ꯑꯃꯥ, ꯃꯥꯟꯅꯗꯕ ꯔꯣꯇꯔ ꯑꯃꯥ, ꯁꯣꯛꯂꯕ ꯄꯣꯀꯦꯠꯁꯤꯡ꯫ ꯔꯨꯂꯦꯠ ꯆꯛꯔꯒꯤ ꯕꯥꯏꯌꯥꯁ ꯂꯩ ꯑꯃꯁꯨꯡ ꯃꯁꯤ ꯁꯤꯖꯤꯟꯅꯈꯤꯕꯥ ꯂꯩ꯫ ꯑꯔꯨꯕꯗꯤ ꯃꯄꯨꯡ ꯐꯥꯅ ꯆꯨꯝꯃꯤꯟꯅꯕ ꯆꯛꯔ ꯑꯃꯅꯁꯨ ꯃꯇꯝ ꯄꯨꯝꯕꯗ “ꯁꯥꯠꯄ ꯃꯁꯤꯡꯁꯤꯡ” ꯄꯨꯊꯣꯀꯏ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯋꯥꯍꯪ ꯑꯁꯤ ꯃꯁꯤꯡ ꯑꯃꯥ ꯁꯥꯠꯄꯔꯥ ꯍꯥꯌꯕ ꯅꯠꯇꯦ, ꯄꯦꯇꯔꯟ ꯄꯨꯝꯅꯃꯛ ꯂꯥꯛꯅ ꯌꯥꯍꯟꯕꯗꯒꯤ ꯍꯦꯟꯅꯥ ꯃꯥꯟꯅꯗꯕꯔꯥ ꯍꯥꯌꯕꯅꯤ꯫

1. ꯆꯨꯝꯃꯤꯟꯅꯕ ꯆꯛꯔ ꯑꯃꯒꯤ ꯁꯦꯝꯄꯜ ꯂꯧꯕ

ꯕꯥꯏꯌꯥꯁ ꯀꯔꯤꯒꯨꯝꯕ ꯑꯃꯠꯇ ꯂꯩꯇꯕ ꯁꯤꯃꯨꯂꯦꯠ ꯇꯧꯔꯕ ꯆꯛꯔ ꯑꯃꯗꯒꯤ ꯂꯧꯔꯕ ꯁ꯭ꯄꯤꯟꯁꯤꯡ꯫ ꯁꯦꯝꯄꯜ ꯁꯥꯏꯖ ꯍꯣꯡꯗꯣꯛꯇꯨꯅ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯁꯥꯠꯄ ꯄꯣꯀꯦꯠ ꯌꯦꯡꯕꯤꯌꯨ꯫

0321519421225173462713361130823105241633120143192218297281235326
ꯁ꯭ꯄꯤꯟ370
ꯄꯣꯀꯦꯠ ꯈꯨꯗꯤꯡꯒꯤ ꯐꯪꯒꯗꯕ10.0
ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯁꯥꯠꯄ ꯄꯣꯀꯦꯠ20 · ꯊꯣꯛꯂꯕ 16 (4.32%)
ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯁꯥꯠꯄ / ꯐꯪꯒꯗꯕ+60% · 1.9σ
ꯀꯥꯏ-ꯁ꯭ꯀ꯭ꯋꯦꯌꯔ · p32.8 · 0.622
ꯋꯥꯔꯦꯞꯕꯥꯏꯌꯥꯁꯀꯤ ꯈꯨꯗꯝ ꯂꯩꯇꯦ

2. ꯎꯈꯤꯕ ꯑꯃꯁꯨꯡ ꯐꯪꯒꯗꯕ

ꯕꯥꯔ ꯈꯨꯗꯤꯡꯃꯛ ꯆꯛꯔꯒꯤ ꯊꯥꯛꯇ ꯂꯩꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯅꯤ꯫ ꯗꯦꯁ ꯂꯥꯏꯟ ꯑꯁꯤ ꯐꯪꯒꯗꯕ ꯃꯁꯤꯡ, n/37 ꯅꯤ꯫ ꯃꯃꯤꯠ ꯊꯥꯕ ꯕꯦꯟꯗ ꯑꯁꯤ ꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯗꯤꯚꯤꯌꯦꯁꯟ ±2 ꯅꯤ: ꯆꯨꯝꯃꯤꯟꯅꯕ ꯆꯛꯔ ꯑꯃꯗ ꯂꯥꯛ ꯈꯛꯇꯅ ꯄꯣꯀꯦꯠ ꯀꯨꯟꯗ ꯃꯇꯧ ꯑꯁꯨꯝꯅ ꯑꯃꯅ ꯃꯁꯤꯒꯤ ꯃꯄꯥꯟꯗ ꯊꯣꯛꯀꯅꯤ꯫

0ꯆꯛꯔꯒꯤ ꯊꯥꯛꯇ ꯄꯣꯀꯦꯠꯁꯤꯡ →26

3. ꯀꯥꯏ-ꯁ꯭ꯀ꯭ꯋꯦꯌꯔ ꯇꯦꯁ꯭ꯠ

ꯇꯦꯁ꯭ꯠ ꯑꯁꯤꯅ ꯄꯣꯀꯦꯠ ꯈꯨꯗꯤꯡꯃꯛ ꯐꯪꯒꯗꯕꯗꯒꯤ ꯀꯌꯥ ꯂꯥꯞꯄꯒꯦ, ꯁ꯭ꯀ꯭ꯋꯦꯌꯔ ꯇꯧꯗꯨꯅ ꯑꯃꯁꯨꯡ ꯁ꯭ꯀꯦꯜ ꯇꯧꯗꯨꯅ ꯄꯨꯟꯁꯤꯜꯂꯤ꯫ ꯆꯨꯝꯃꯤꯟꯅꯕ ꯆꯛꯔ ꯑꯃꯗ ꯄꯨꯟꯁꯤꯟꯕ ꯑꯁꯤ ꯗꯤꯒ꯭ꯔꯤ ꯑꯣꯐ ꯐ꯭ꯔꯤꯗꯝ 36 ꯂꯩꯕ ꯀꯥꯏ-ꯁ꯭ꯀ꯭ꯋꯦꯌꯔ ꯗꯤꯁ꯭ꯇ꯭ꯔꯤꯕ꯭ꯌꯨꯁꯟ ꯑꯃꯒꯤ ꯃꯇꯨꯡ ꯏꯟꯅꯩ; 0.05 ꯗꯒꯤ ꯅꯦꯝꯕ p-ꯚꯦꯜꯌꯨ ꯑꯃꯕꯨ ꯆꯠꯅꯕꯤ ꯃꯇꯨꯡ ꯏꯟꯅꯗꯨꯅ ꯁꯤꯒ꯭ꯅꯤꯐꯤꯀꯦꯟꯠ ꯍꯥꯌꯅ ꯀꯧꯏ꯫

χ² = Σ (Oᵢ − Eᵢ)² / Eᵢ Eᵢ = n/37 df = 36
n = 370 · E = 10.00 · χ² = 32.80 · p = 0.622
ꯁꯦꯝꯄꯜ ꯁꯥꯏꯖꯒꯤ ꯆꯦꯀꯁꯤꯅꯋꯥꯁ꯭ꯄꯤꯟ 1,000 ꯒꯤ ꯃꯈꯥꯗꯗꯤ ꯇꯦꯁ꯭ꯠ ꯑꯁꯤꯅ ꯑꯁꯦꯡꯕ ꯃꯑꯣꯡꯒꯤ ꯕꯥꯏꯌꯥꯁꯁꯤꯡ ꯊꯤꯗꯣꯛꯅꯕ ꯄꯥꯉ꯭ꯒꯜ ꯌꯥꯝꯅ ꯂꯩꯇꯦ, ꯑꯃꯁꯨꯡ p < 0.05 ꯗ “ꯁꯤꯒ꯭ꯅꯤꯐꯤꯀꯦꯟꯠ” ꯃꯍꯩ ꯑꯃꯥ ꯅꯍꯥꯛꯅ ꯌꯦꯡꯂꯤꯕ ꯆꯨꯝꯃꯤꯟꯅꯕ ꯁꯦꯝꯄꯜ 20 ꯈꯨꯗꯤꯡꯗ ꯂꯥꯛ ꯈꯛꯇꯅ 1 ꯊꯣꯛꯀꯅꯤ꯫ ꯆꯛꯔ ꯀꯌꯥ ꯇꯦꯁ꯭ꯠ ꯇꯧꯕ, ꯅꯠꯔꯒ ꯆꯛꯔ ꯑꯗꯨꯃꯛ ꯄꯥꯁ ꯇꯧꯕ ꯐꯥꯑꯣꯕ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯇꯦꯁ꯭ꯠ ꯇꯧꯕꯅ ꯑꯔꯥꯟꯕ ꯄꯣꯖꯤꯇꯤꯕꯁꯤꯡ ꯁꯣꯏꯗꯅ ꯄꯨꯊꯣꯀꯏ꯫

4. ꯁ꯭ꯄꯤꯟ ꯀꯌꯥ ꯃꯊꯧ ꯇꯥꯒꯅꯤ

ꯄꯣꯀꯦꯠ ꯑꯃꯅ 1/37 ꯗꯒꯤ ꯍꯦꯟꯅꯥ ꯌꯥꯝꯅ ꯊꯣꯀꯄꯥ ꯊꯤꯗꯣꯛꯅꯕ ꯃꯊꯧ ꯇꯥꯕ ꯁ꯭ꯄꯤꯟ, ꯃꯥꯏꯀꯩ ꯑꯃꯈꯛꯀꯤ 5% ꯂꯦꯚꯦꯜ ꯑꯃꯁꯨꯡ 80% ꯄꯥꯉ꯭ꯒꯂꯗ꯫ 37 ꯗ 1 ꯒꯤ ꯃꯍꯨꯠꯇ 35 ꯗ 1 ꯊꯣꯀꯄ ꯄꯣꯀꯦꯠ ꯑꯃꯥ ꯁꯥꯟꯅꯔꯤꯕꯒꯤꯗꯃꯛ ꯃꯄꯥꯉ꯭ꯒꯜ ꯀꯅꯕ ꯑꯦꯖ ꯑꯃꯥ ꯑꯣꯏꯒꯅꯤ, ꯑꯃꯁꯨꯡ ꯃꯁꯤ ꯆꯦꯅꯁꯤꯟꯅꯕ ꯏꯒꯠꯂꯕ ꯁ꯭ꯄꯤꯟ ꯂꯤꯁꯤꯡ ꯀꯌꯥ ꯃꯊꯧ ꯇꯥꯏ꯫

ꯑꯁꯦꯡꯕ ꯔꯦꯠꯁꯥꯟꯅꯔꯤꯕꯒꯤ ꯑꯦꯖꯃꯊꯧ ꯇꯥꯕ ꯁ꯭ꯄꯤꯟꯁ꯭ꯄꯤꯟ 40/ꯄꯨꯡ ꯗ
25 ꯗ 1+44.0%1,108ꯄꯨꯡ 28
30 ꯗ 1+20.0%4,392ꯄꯨꯡ 110
33 ꯗ 1+9.1%15,747ꯄꯨꯡ 394
35 ꯗ 1+2.9%69,461ꯄꯨꯡ 1,737
ꯕꯥꯏꯌꯥꯁ ꯑꯃꯥ ꯆꯦꯅꯁꯤꯟꯅꯕ ꯅꯨꯃꯤꯗꯥꯡ ꯈꯨꯗꯤꯡꯃꯛ ꯁ꯭ꯄꯤꯟꯁꯤꯡ ꯏꯒꯠꯀꯗꯕꯅꯤ, ꯂꯤꯁꯤꯡ ꯀꯌꯥ꯫

ꯃꯦꯊꯗꯣꯂꯣꯖꯤ

ꯁꯦꯝꯄꯂꯤꯡ꯫ ꯁꯤꯗ ꯂꯩꯕ ꯖꯦꯅꯦꯔꯦꯇꯔ (mulberry32, ꯁꯤꯗ 99) ꯁꯤꯖꯤꯟꯅꯗꯨꯅ ꯄꯣꯀꯦꯠ 37 ꯗꯒꯤ ꯃꯥꯟꯅꯕ ꯈꯨꯗꯣꯡꯆꯥꯕꯒ ꯂꯧꯕ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯂꯃꯥꯏ ꯑꯁꯤ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯁꯦꯝꯕ ꯌꯥꯏ꯫
ꯇꯦꯁ꯭ꯠ꯫ ꯄꯤꯌꯔꯁꯅꯒꯤ ꯀꯥꯏ-ꯁ꯭ꯀ꯭ꯋꯦꯌꯔ ꯒꯨꯗꯅꯦꯁ ꯑꯣꯐ ꯐꯤꯠ, ꯗꯤꯒ꯭ꯔꯤ ꯑꯣꯐ ꯐ꯭ꯔꯤꯗꯝ 36, p-ꯚꯦꯜꯌꯨ ꯑꯁꯤ ꯔꯦꯒꯨꯂꯔꯥꯏꯖ ꯇꯧꯔꯕ ꯏꯟꯀꯝꯞ꯭ꯂꯤꯠ ꯒꯥꯃꯥ ꯐꯉ꯭ꯀꯁꯅꯗꯒꯤ꯫
ꯄꯥꯉ꯭ꯒꯜ꯫ ꯋꯟ-ꯄ꯭ꯔꯣꯄꯣꯔꯁꯟ ꯇꯦꯁ꯭ꯇꯀꯤ ꯅꯣꯔꯃꯦꯜ ꯑꯦꯞꯔꯣꯛꯁꯤꯃꯦꯁꯟ, α = 0.05 ꯃꯥꯏꯀꯩ ꯑꯃꯈꯛ, ꯄꯥꯉ꯭ꯒꯜ 0.80꯫
ꯌꯥꯎꯕ꯫ ꯁ꯭ꯇꯦꯇꯤꯁ꯭ꯇꯤꯛꯁꯀꯤ ꯊꯤꯗꯣꯀꯄ ꯈꯛꯇ꯫ ꯍꯛꯆꯥꯡꯒꯤ ꯃꯔꯃꯁꯤꯡ ꯑꯃꯁꯨꯡ (ꯄꯣꯀꯦꯠꯇ ꯅꯠꯇꯅ) ꯁꯦꯛꯇꯔꯗ ꯌꯨꯝꯐꯝ ꯑꯣꯏꯕ ꯑꯦꯅꯥꯂꯥꯏꯁꯤꯁ ꯁꯦꯛꯇꯔ ꯑꯦꯅꯥꯂꯥꯏꯁꯤꯁ ꯇ ꯇꯥꯀꯏ꯫

ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

ꯆꯨꯝꯃꯤꯟꯅꯕ ꯆꯛꯔ ꯑꯃꯅ ꯅꯨꯃꯤꯗꯥꯡ ꯈꯨꯗꯤꯡꯃꯛ ꯁꯥꯠꯄ ꯃꯁꯤꯡꯁꯤꯡ ꯁꯦꯃꯏ꯫ ꯕꯥꯏꯌꯥꯁ ꯑꯃꯥ ꯐꯣꯡꯗꯣꯛꯅꯕ ꯁ꯭ꯄꯤꯟ ꯂꯤꯁꯤꯡ ꯀꯌꯥ ꯃꯊꯧ ꯇꯥꯏ꯫

ꯆꯨꯝꯃꯤꯟꯅꯕ ꯆꯛꯔ ꯑꯃꯅ ꯅꯨꯃꯤꯗꯥꯡ ꯈꯨꯗꯤꯡꯃꯛ ꯁꯥꯠꯄ ꯃꯁꯤꯡꯁꯤꯡ ꯁꯦꯃꯏ꯫ ꯕꯥꯏꯌꯥꯁ ꯑꯃꯥ ꯐꯣꯡꯗꯣꯛꯅꯕ ꯁ꯭ꯄꯤꯟ ꯂꯤꯁꯤꯡ ꯀꯌꯥ ꯃꯊꯧ ꯇꯥꯏ꯫

ꯍꯧꯔꯛꯐꯃꯁꯤꯡ

  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.