ᱥᱴᱮᱴᱤᱥᱴᱤᱠᱟᱞ ᱜᱚᱱᱚᱝ
“ᱜᱚᱱᱚᱝ” ᱢᱮᱱᱮᱛ ᱫᱚ ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱨᱮ ᱟᱹᱰᱤ ᱠᱚᱢ ᱦᱩᱭ ᱫᱟᱲᱮᱭᱟᱜ, “ᱥᱟᱹᱨᱤ” ᱫᱚ ᱵᱟᱝ ᱟᱨ “ᱞᱟᱵᱷ” ᱦᱚᱸ ᱵᱟᱝ᱾
0.05 ᱨᱮᱭᱟᱜ p ᱜᱚᱱᱚᱝ ᱢᱮᱱᱮᱛ ᱫᱚ ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱦᱚᱸ ᱢᱤᱫ ᱤᱥᱤ ᱫᱷᱟᱣ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ ᱱᱚᱶᱟ ᱞᱮᱠᱟᱱ ᱵᱮᱵᱷᱟᱨ ᱦᱚᱨᱟ ᱩᱫᱩᱜᱟ᱾ ᱡᱩᱫᱤ ᱟᱯᱮ ᱢᱤᱫ ᱤᱥᱤ ᱪᱟᱠᱟ ᱧᱮᱞ ᱯᱮ, ᱢᱤᱫᱴᱟᱹᱝ ᱫᱚ ᱵᱷᱟᱜᱽ ᱛᱮ ᱯᱟᱥ ᱦᱩᱭᱩᱜ-ᱟ᱾
p ᱜᱚᱱᱚᱝ ᱫᱚ ᱪᱮᱫ ᱠᱟᱱᱟ
ᱡᱩᱫᱤ ᱪᱟᱠᱟ ᱴᱷᱤᱠ ᱛᱟᱦᱮᱸᱱ ᱠᱷᱟᱱ, ᱧᱮᱞ ᱟᱠᱟᱱ ᱥᱟᱞᱟᱜ ᱥᱚᱢᱟᱱ ᱟᱨᱵᱟᱝ ᱚᱱᱟ ᱠᱷᱚᱱ ᱢᱟᱨᱟᱝ ᱵᱮᱵᱷᱟᱨ ᱧᱮᱞ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟᱜᱚᱱᱤᱛᱥᱚᱢᱵᱷᱟᱵᱱᱟᱢᱤᱫ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ, 0 ᱠᱷᱚᱱ 1 ᱟᱨᱵᱟᱝ 0% ᱠᱷᱚᱱ 100%᱾ ᱢᱤᱫ ᱮᱞ: 1/37 = 2.70%᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →᱾ ᱱᱚᱶᱟ ᱫᱚ ᱢᱤᱫ ᱢᱟᱱᱟᱣ ᱞᱟᱛᱟᱨ ᱨᱮ ᱰᱟᱴᱟ ᱵᱟᱵᱚᱛ ᱠᱟᱛᱷᱟ ᱠᱟᱱᱟ, ᱪᱟᱠᱟ ᱵᱟᱵᱚᱛ ᱫᱚ ᱵᱟᱝ᱾ 0.03 ᱨᱮᱭᱟᱜ p ᱜᱚᱱᱚᱝᱞᱮᱵp ᱜᱚᱱᱚᱝᱪᱟᱠᱟ ᱴᱷᱤᱠ ᱛᱟᱦᱮᱸ ᱠᱷᱟᱱ, ᱧᱮᱞ ᱟᱠᱟᱱ ᱟᱞᱟᱜ ᱥᱟᱶ ᱥᱚᱢᱟᱱ ᱟᱨᱵᱟᱝ ᱢᱟᱨᱟᱝ ᱟᱞᱟᱜ ᱧᱮᱞ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱞᱟᱹᱭ ᱮᱫᱟ: ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱫᱚ 3% ᱚᱠᱛᱚ ᱱᱚᱶᱟ ᱠᱚᱨᱟᱣᱟ᱾ ᱱᱚᱶᱟ ᱵᱟᱝ ᱞᱟᱹᱭ ᱮᱫᱟ: ᱪᱟᱠᱟ ᱵᱟᱭᱟᱥ ᱛᱟᱦᱮᱸᱱ ᱨᱮᱭᱟᱜ 97% ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱢᱮᱱᱟᱜ-ᱟ᱾ ᱫᱚᱥᱟᱨ ᱠᱟᱛᱷᱟ ᱞᱟᱹᱜᱤᱫ ᱢᱟᱲᱟᱝ ᱠᱷᱚᱱ ᱵᱟᱭᱟᱥ ᱪᱟᱠᱟᱞᱮᱵᱵᱟᱭᱟᱥ ᱪᱟᱠᱟᱢᱤᱫ ᱪᱟᱠᱟ ᱡᱟᱦᱟᱸ ᱨᱮᱭᱟᱜ ᱦᱟᱛ ᱫᱚᱥ ᱛᱮ ᱛᱤᱱᱟᱹᱜ ᱜᱟᱱ ᱠᱷᱟᱱᱟ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ 1/37 ᱠᱷᱚᱱ ᱵᱟᱹᱲᱛᱤ᱾ ᱟᱹᱰᱤ ᱠᱚᱢ ᱧᱟᱢᱚᱜ-ᱟ, ᱦᱟᱡᱟᱨ ᱦᱟᱡᱟᱨ ᱚᱞ ᱟᱠᱟᱱ ᱜᱷᱩᱨᱟᱹᱣ ᱛᱮ ᱜᱮ ᱧᱟᱢ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱠᱚ ᱪᱮᱫᱟᱢ ᱢᱮᱱᱟᱜ-ᱟ ᱚᱱᱟ ᱵᱟᱰᱟᱭ ᱞᱟᱹᱠᱛᱤᱭᱟ, ᱟᱨ ᱱᱟᱣᱟ ᱠᱮᱥᱤᱱᱳ ᱨᱮ ᱩᱱᱠᱩ ᱟᱹᱰᱤ ᱠᱚᱢ ᱜᱮᱭᱟ, ᱚᱱᱟᱛᱮ ᱢᱤᱫ ᱜᱚᱱᱚᱝ ᱢᱩᱪᱟᱹᱫ ᱫᱚ ᱢᱤᱫ ᱧᱟᱢ ᱠᱷᱚᱱ ᱵᱷᱟᱜᱽ ᱛᱮ ᱦᱩᱭ ᱠᱟᱱ ᱨᱮᱭᱟᱜ ᱟᱹᱰᱤ ᱵᱟᱹᱲᱛᱤ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱢᱮᱱᱟᱜ-ᱟ᱾
ᱟᱭᱢᱟ ᱢᱮᱞ
ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱨᱮ ᱟᱯᱮ ᱡᱟᱦᱟᱸ ᱜᱮ ᱯᱚᱨᱚᱠᱷ ᱪᱟᱞᱟᱣ ᱯᱮ, ᱚᱱᱟ ᱫᱚ 5% ᱥᱚᱛᱚᱨ ᱨᱮ ᱯᱟᱥ ᱦᱩᱭ ᱨᱮᱭᱟᱜ 5% ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱢᱮᱱᱟᱜ-ᱟ᱾ ᱢᱤᱫ ᱤᱥᱤ ᱪᱟᱠᱟ ᱯᱚᱨᱚᱠᱷ ᱯᱮ, ᱢᱤᱫᱴᱟᱹᱝ ᱯᱟᱥ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱢᱤᱫ ᱪᱟᱠᱟ ᱢᱤᱫ ᱤᱥᱤ ᱚᱠᱛᱚ ᱦᱤᱥᱟᱹ ᱨᱮ ᱯᱚᱨᱚᱠᱷ ᱯᱮ, ᱢᱤᱫᱴᱟᱹᱝ ᱯᱟᱥ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱢᱤᱫ ᱱᱢᱩᱱᱟ 37 ᱠᱷᱟᱱᱟᱥᱟᱡ ᱥᱟᱢᱟᱱᱠᱷᱟᱱᱟᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ 37 ᱮᱞ ᱚᱞ ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱞᱚᱴ, ᱠᱟᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱜᱟᱫᱮᱞ, ᱛᱩᱨᱩᱭ ᱥᱮᱠᱴᱚᱨᱪᱟᱠᱟᱥᱮᱠᱴᱚᱨᱪᱟᱠᱟ ᱨᱮ ᱛᱟᱭᱚᱢ ᱛᱟᱭᱚᱢ ᱠᱷᱟᱱᱟ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱜᱩᱞᱟᱹᱭ ᱦᱟᱹᱴᱤᱧ, ᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱜᱩᱴᱤ ᱠᱷᱚᱱ ᱟᱞᱟᱜ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱜᱟᱫᱮᱞ ᱟᱨ ᱯᱮ ᱨᱚᱝ ᱜᱟᱫᱮᱞ ᱥᱟᱶ ᱯᱚᱨᱚᱠᱷ ᱯᱮ, ᱟᱨ ᱡᱟᱦᱟᱸ ᱜᱮ ᱯᱟᱥ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱥᱟᱯᱲᱟᱣ ᱫᱚ ᱱᱚᱶᱟ ᱠᱟᱱᱟ: ᱰᱟᱴᱟ ᱧᱮᱞ ᱞᱟᱦᱟ ᱨᱮ ᱯᱚᱨᱚᱠᱷ ᱴᱷᱤᱠ ᱯᱮ, ᱢᱤᱫ ᱫᱷᱟᱣ ᱪᱟᱞᱟᱣ ᱯᱮ, ᱟᱨ ᱱᱟᱣᱟ ᱰᱟᱴᱟ ᱨᱮ ᱥᱟᱵᱩᱫ ᱯᱮ᱾ ᱡᱟᱦᱟᱸ ᱧᱮᱞ ᱛᱮ “ᱵᱟᱭᱟᱥ” ᱪᱟᱠᱟ ᱧᱟᱢᱚᱜ-ᱟ, ᱚᱱᱟ ᱧᱮᱞ ᱜᱮ ᱟᱹᱰᱤ ᱦᱚᱨ ᱢᱩᱪᱟᱹᱫ ᱵᱮᱱᱟᱣᱟ᱾
ᱜᱚᱱᱚᱝ ᱟᱨ ᱢᱟᱯ
ᱢᱤᱫ ᱟᱹᱰᱤ ᱢᱟᱨᱟᱝ ᱱᱢᱩᱱᱟ ᱫᱚ ᱢᱤᱫ ᱟᱹᱰᱤ ᱦᱩᱰᱤᱧ ᱵᱟᱭᱟᱥ ᱦᱚᱸ ᱜᱚᱱᱚᱝ ᱵᱮᱱᱟᱣ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾ 1/37 ᱵᱚᱫᱚᱞ 1/36.5 ᱨᱮ ᱛᱷᱤᱨ ᱠᱟᱱ ᱠᱷᱟᱱᱟ ᱫᱚ ᱢᱤᱫ ᱥᱟᱹᱨᱤ ᱠᱷᱚᱴ ᱠᱟᱱᱟ, ᱡᱟᱦᱟᱸ ᱫᱚ ᱦᱩᱰᱤᱧ ᱢᱤᱞᱤᱭᱚᱱ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱜᱚᱱᱚᱝ ᱦᱩᱭᱩᱜ-ᱟ, ᱟᱨ ᱵᱟᱨᱦᱚᱸ 35 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱᱴᱟᱠᱟᱵᱷᱩᱜᱛᱟᱱᱡᱤᱛ ᱵᱟᱡᱤ ᱪᱮᱫ ᱨᱩᱣᱟᱹᱲᱟ, ᱨᱩᱣᱟᱹᱲ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱪᱮᱛᱟᱱ “X ᱨᱮ 1” ᱞᱮᱠᱟ ᱨᱚᱲᱚᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱴᱟᱠᱟ ᱦᱟᱨᱟᱣᱚᱜ-ᱟ᱾ ᱠᱷᱮᱞᱚᱸᱰ ᱞᱟᱹᱜᱤᱫ ᱦᱚᱨᱚᱥ ᱨᱮᱭᱟᱜ ᱢᱟᱯ ᱜᱮ ᱞᱟᱹᱠᱛᱤ ᱜᱮᱭᱟ: ᱡᱟᱦᱟᱸ ᱠᱷᱟᱱᱟ 1/36 ᱟᱨᱵᱟᱝ ᱚᱱᱟ ᱠᱷᱚᱱ ᱵᱮᱥ ᱛᱮ ᱛᱷᱤᱨᱚᱜ-ᱟ ᱥᱮ, ᱟᱨ ᱪᱮᱫᱟᱢ? ᱠᱟᱭ-ᱥᱠᱣᱮᱭᱟᱨ ᱫᱚ ᱪᱟᱠᱟ ᱵᱟᱵᱚᱛ ᱞᱟᱹᱭ ᱮᱫᱟ; ᱮᱞᱠᱷᱟᱹ ᱛᱷᱤᱨ ᱦᱟᱨ ᱜᱮ ᱵᱟᱡᱤ ᱵᱟᱵᱚᱛ ᱞᱟᱹᱭ ᱮᱫᱟ᱾
ᱫᱟᱲᱮ
ᱮᱴᱟᱜ ᱵᱷᱩᱞ ᱫᱚ ᱢᱮᱱᱟᱜ ᱵᱟᱭᱟᱥ ᱵᱟᱝ ᱧᱟᱢ ᱠᱟᱱᱟ᱾ 1,000 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ 1/30 ᱨᱮ ᱛᱷᱤᱨ ᱠᱟᱱ ᱠᱷᱟᱱᱟ (ᱢᱤᱫ ᱟᱹᱰᱤ ᱢᱟᱨᱟᱝ ᱵᱟᱭᱟᱥ) ᱫᱚ 5% ᱥᱚᱛᱚᱨ ᱨᱮ ᱮᱞᱠᱷᱟᱹ ᱯᱟᱥᱤ ᱟᱫᱷᱟ ᱚᱠᱛᱚ ᱧᱟᱢᱚᱜ-ᱟ᱾ ᱱᱚᱶᱟ ᱫᱚ ᱪᱟᱞᱟᱠ ᱵᱩᱫᱽᱫᱷᱤ ᱛᱮ ᱫᱚ ᱵᱟᱝ, ᱱᱢᱩᱱᱟ ᱢᱟᱯ ᱛᱮ ᱥᱟᱯᱲᱟᱣᱚᱜ-ᱟ᱾ ᱱᱢᱩᱱᱟ ᱢᱟᱯ ᱥᱟᱦᱴᱟ ᱫᱚ ᱮᱞ ᱠᱚ ᱮᱢᱚᱜ ᱠᱟᱱᱟ᱾
ᱢᱤᱫ ᱠᱟᱹᱢᱤ ᱨᱮᱭᱟᱜ ᱥᱚᱛᱚᱨ
ᱢᱤᱫ ᱵᱟᱭᱟᱥ ᱫᱟᱵᱤ ᱧᱮᱞ ᱞᱟᱹᱠᱛᱤ ᱦᱩᱭ ᱞᱟᱹᱜᱤᱫ: ᱟᱜᱟᱢ ᱨᱮ ᱵᱟᱪᱷᱟᱣ ᱟᱠᱟᱱ ᱯᱚᱨᱚᱠᱷ, 0.05 ᱵᱚᱫᱚᱞ p < 0.01, ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱢᱟᱯ ᱨᱮᱭᱟᱜ ᱟᱡᱟᱫ ᱱᱢᱩᱱᱟ ᱨᱮ ᱫᱚᱦᱲᱟ ᱠᱚᱨᱟᱣ, ᱟᱨ ᱫᱚᱦᱲᱟ ᱠᱚᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱵᱟᱹᱲᱛᱤ ᱛᱷᱤᱨ ᱠᱷᱟᱱᱟ ᱨᱮ 1/34 ᱟᱨᱵᱟᱝ ᱚᱱᱟ ᱠᱷᱚᱱ ᱵᱮᱥ ᱟᱸᱫᱟᱡᱽ ᱛᱷᱤᱨ ᱦᱟᱨ᱾ ᱠᱷᱮᱞ ᱨᱮᱭᱟᱜ ᱤᱛᱤᱦᱟᱹᱥ ᱨᱮ ᱱᱚᱶᱟ ᱥᱚᱛᱚᱨ ᱫᱚ ᱮᱞᱠᱷᱟᱹ ᱦᱩᱰᱤᱧ ᱥᱮᱞᱮᱫ ᱫᱷᱟᱣ ᱯᱩᱨᱟᱹᱣ ᱟᱠᱟᱱᱟ, ᱟᱨ ᱥᱟᱱᱟᱢ ᱦᱚᱲ ᱵᱟᱰᱟᱭ ᱞᱮᱠᱷᱟ ᱞᱮᱠᱟᱛᱮ, ᱥᱟᱯᱲᱟᱣ ᱟᱠᱟᱱ ᱱᱟᱣᱟ ᱪᱟᱠᱟ ᱨᱮ ᱫᱚ ᱛᱤᱥ ᱦᱚᱸ ᱵᱟᱝ᱾
ᱠᱩᱠᱞᱤ ᱠᱚ
1920 ᱥᱮᱨᱢᱟ ᱠᱚ ᱠᱷᱚᱱ ᱨᱤᱱᱤᱡ᱾ ᱚᱱᱟ ᱨᱮ ᱪᱮᱫ ᱦᱚᱸ ᱟᱞᱜᱟ ᱵᱟᱹᱱᱩᱜ-ᱟ; ᱟᱭᱢᱟ ᱪᱟᱠᱟ ᱧᱮᱞ ᱚᱠᱛᱚ 0.01 ᱫᱚ ᱵᱟᱹᱲᱛᱤ ᱵᱩᱫᱽᱫᱷᱤ ᱥᱟᱶ ᱥᱤᱢᱟᱹ ᱠᱟᱱᱟ᱾
ᱦᱩᱭ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ ᱥᱚᱢᱟᱱ ᱢᱩᱪᱟᱹᱫ ᱵᱟᱝ ᱮᱢ ᱮᱫᱟ᱾ ᱚᱱᱟ ᱫᱚ ᱰᱤᱞᱟᱨ ᱦᱚᱨᱚᱥ, ᱚᱞ ᱵᱷᱩᱞ ᱟᱨᱵᱟᱝ ᱰᱟᱴᱟ ᱟᱫᱮᱨ ᱥᱚᱢᱥᱭᱟ ᱦᱚᱸ ᱦᱩᱭ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾ ᱫᱚᱦᱲᱟ ᱠᱚᱨᱟᱣ ᱯᱮ᱾
ᱵᱟᱝ᱾ ᱵᱟᱸᱴᱟᱣ ᱴᱷᱤᱠ ᱵᱟᱹᱱᱩᱜ-ᱟ ᱚᱱᱟ ᱜᱮ ᱞᱟᱹᱭ ᱮᱫᱟ᱾ ᱚᱠᱟ ᱨᱮ, ᱚᱱᱟ ᱫᱚ ᱥᱮᱠᱴᱚᱨ ᱡᱟᱸᱪ ᱟᱨ ᱦᱚᱨᱚᱥ ᱨᱮᱭᱟᱜ ᱢᱟᱯ ᱞᱟᱹᱭ ᱮᱫᱟ᱾
ᱜᱚᱱᱤᱛ ᱥᱟᱶ ᱨᱟᱹᱥᱠᱟᱹ
ᱱᱚᱶᱟ ᱠᱚ ᱯᱩᱭᱞᱩ ᱟᱯᱮ ᱛᱮ ᱠᱩᱨᱩᱢᱩᱴᱩ ᱯᱮ᱾ ᱢᱤᱫ ᱢᱤᱫ ᱥᱚᱢᱟᱫᱷᱟᱱ ᱫᱚ ᱩᱠᱩ ᱢᱮᱱᱟᱜ-ᱟ; ᱛᱮᱭᱟᱨ ᱦᱩᱭ ᱠᱟᱛᱮ ᱡᱷᱤᱡᱽ ᱯᱮ᱾
ᱢᱤᱫ ᱠᱟᱛᱷᱟ ᱠᱟᱦᱱᱤ ᱨᱮᱭᱟᱜ ᱰᱚᱵᱚᱞ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱪᱟᱠᱟ ᱨᱮ ᱯᱟᱦᱤᱞ ᱰᱚᱡᱮᱱᱵᱟᱡᱤᱰᱚᱡᱮᱱ1–12, 13–24 ᱟᱨᱵᱟᱝ 25–36, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → 3,000 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ 742 ᱫᱷᱟᱣ ᱩᱪᱟᱹᱲᱞᱮᱱᱟ᱾ ᱚᱱᱟ ᱫᱚ ᱟᱣᱥᱚᱛ ᱠᱷᱚᱱ ᱛᱤᱱᱟᱹᱜ ᱥᱴᱮᱱᱰᱟᱨᱰ ᱰᱤᱵᱷᱤᱭᱮᱥᱚᱱᱜᱚᱱᱤᱛᱥᱴᱮᱱᱰᱟᱨᱰ ᱰᱤᱵᱷᱤᱭᱮᱥᱚᱱᱣᱮᱨᱤᱭᱮᱱᱥ ᱨᱮᱭᱟᱜ ᱵᱚᱜᱚ ᱢᱩᱞ; ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱠᱷᱚᱱ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱟᱫᱷᱟᱨᱚᱱ ᱥᱟᱦᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱛᱟᱨ, ᱟᱨ ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱚᱱᱟ ᱛᱤᱱᱟᱹᱜ ᱫᱷᱟᱣ ᱮ ᱵᱮᱱᱟᱣᱟ?
ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ
ᱛᱮᱞᱟ ᱡᱟᱦᱟᱱ 8.1 ᱥᱴᱮᱱᱰᱟᱨᱰ ᱰᱤᱵᱷᱤᱭᱮᱥᱚᱱ ᱞᱟᱛᱟᱨ᱾ ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱚᱱᱟ ᱡᱟᱦᱟᱱ 3 × 10¹⁵ ᱠᱩᱨᱩᱢᱩᱴᱩ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ ᱮ ᱵᱮᱱᱟᱣᱟ, ᱚᱱᱟ ᱫᱚ ᱛᱤᱥ ᱦᱚᱸ ᱵᱟᱝ᱾ ᱥᱚᱣᱟᱞ ᱥᱟᱶ ᱪᱷᱟᱯᱟ ᱩᱛᱛᱚᱨ 11.75 ᱮ ᱢᱮᱱᱟ; ᱟᱞᱮ 8.07 ᱞᱮ ᱧᱟᱢᱟ᱾
ᱯᱟᱦᱤᱞ ᱰᱚᱡᱮᱱ ᱨᱮ 38 ᱠᱷᱟᱱᱟᱥᱟᱡ ᱥᱟᱢᱟᱱᱠᱷᱟᱱᱟᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ 37 ᱮᱞ ᱚᱞ ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱞᱚᱴ, ᱠᱟᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱠᱷᱚᱱ 12 ᱢᱮᱱᱟᱜ-ᱟ᱾ 3,000 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱟᱣᱥᱚᱛ 3,000 × 12/38 = 947.4 ᱦᱤᱴ, ᱯᱟᱥᱱᱟᱣ √(3,000 × 12/38 × 26/38) = 25.5 ᱥᱟᱶ᱾
742 ᱫᱚ ᱟᱣᱥᱚᱛ ᱠᱷᱚᱱ 205.4 ᱞᱟᱛᱟᱨ: 205.4/25.5 = 8.07 ᱯᱟᱥᱱᱟᱣ᱾
ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱯᱮ ᱯᱟᱥᱱᱟᱣ ᱠᱚᱢ ᱫᱚ ᱡᱟᱦᱟᱱ 740 ᱠᱩᱨᱩᱢᱩᱴᱩ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ ᱮ ᱵᱮᱱᱟᱣᱟ; ᱤᱨᱟᱹᱞ ᱯᱟᱥᱱᱟᱣ ᱠᱚᱢ, ᱡᱟᱦᱟᱱ 3 × 10¹⁵ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ (ᱵᱮᱞ ᱠᱟᱨᱵᱷ, ᱢᱤᱫ ᱫᱷᱟᱨᱮ)᱾ ᱯᱟᱲᱦᱟᱣᱤᱭᱟᱹ ᱯᱮ ᱰᱚᱡᱮᱱ ᱠᱷᱚᱱ ᱡᱚᱛᱚ ᱠᱷᱚᱱ ᱵᱟᱹᱲᱤᱡ ᱜᱮ ᱧᱮᱞ ᱞᱮᱫᱟᱭ ᱢᱮᱱᱠᱷᱟᱱ ᱦᱚᱸ ᱞᱟᱹᱠᱛᱤᱭᱟᱱ ᱪᱮᱫ ᱦᱚᱸ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ-ᱟ᱾ ᱱᱚᱣᱟ ᱞᱮᱠᱟᱱ ᱨᱮᱡᱟᱞᱴ ᱫᱚ ᱢᱮᱱᱟᱭ ᱡᱮ ᱪᱟᱠᱟ, ᱵᱟᱝᱠᱷᱟᱱ ᱞᱮᱠᱷᱟ, ᱵᱷᱩᱞ ᱠᱟᱱᱟ᱾ ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱨᱮ ᱚᱱᱟ ᱜᱮ ᱞᱮᱠᱷᱟ 9.0 ᱯᱟᱥᱱᱟᱣ ᱞᱟᱛᱟᱨ ᱦᱩᱭᱩᱜ ᱛᱟᱵᱚᱱᱟ (ᱟᱣᱥᱚᱛ 973.0, ᱯᱟᱥᱱᱟᱣ 25.6)᱾
ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ
ᱢᱤᱫ ᱤᱥᱤ ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱨᱮ ᱢᱤᱫᱴᱟᱹᱝ “ᱜᱚᱱᱚᱝ” ᱜᱮᱭᱟ᱾ ᱮᱞ ᱨᱮᱭᱟᱜ ᱢᱮᱱᱮᱛ ᱫᱚ ᱱᱚᱶᱟ ᱜᱮ ᱠᱟᱱᱟ᱾
ᱯᱷᱮᱰᱟᱛ
- Pearson, K. “On the criterion that a given system of deviations from the probable…”
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Wizard of Odds. “Ask the Wizard”, ᱨᱩᱞᱮᱴ ᱠᱩᱠᱞᱤ ᱠᱚ᱾