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誤差を上手に扱いたい (S-Mat Tech Night 2024/12/10)
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Hiroms
December 22, 2024
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誤差を上手に扱いたい (S-Mat Tech Night 2024/12/10)
2024/12/10(火) 発表資料
Hiroms
December 22, 2024
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Transcript
(ג)ΤεϚοτ ౡ ޡࠩΛ্खʹѻ͍͍ͨ S-Mat Tech Night 2024/12/10
࣍ • ޡࠩ is Կ • ฐࣾϓϩμΫτʹ͓͚Δޡࠩࣄ • ޡࠩΛऔΓআͨ͘ΊͷऔΓΈ •
·ͱΊ
ޡࠩ is Կ
ε = M - T
ε = M - T ޡࠩ = ܭଌ - ਅ
(https://ja.wikipedia.org/wiki/%E8%AA%A4%E5%B7%AE)
• Կ͔ΛଌΔͱৗʹޡؚ͕ࠩ·ΕΔ • ਅͷͷपΓʹ͢Δ ܭଌͱޡࠩͷؔ
ޡࠩ˓छྨʂ
ޡࠩ̎छྨʂ
ޡࠩͷछྨ • ۮવޡࠩ(random error) • ڥཁҼͰෆఆͷࣄͰζϨΔɻ • Ex. ௨ۈ࣌ؒ •
ܥ౷ޡࠩ(systematic error) • ͋ΔҰఆͷํʹζϨΔɻ • ex. Ωονϯεέʔϧͷθϩௐ
࣍ • ޡࠩ is Կ • ▶ ฐࣾϓϩμΫτʹ͓͚Δޡࠩࣄ • ޡࠩΛݮΒͨ͢ΊͷऔΓΈ
• ·ͱΊ
ͲΜͳϓϩμΫτ
None
ޡࠩ
• ܭଌث۩ͷޡࠩ • ༷ޡࠩ (x±(100g+(ॏྔ×1%))) • θϩζϨ • etc.. •
ଌΔରͷࡏݿͷޡࠩ • ࡏݿͻͱͭ͋ͨΓͷॏ͞ͷޡࠩ ͲΜͳޡ͕ࠩ͋Δʁ
• ܭଌث۩ͷޡࠩ • ༷ޡࠩ (x±(100g+(ॏྔ×1%))) • θϩζϨ • etc.. •
ଌΔରͷࡏݿͷޡࠩ • ࡏݿͻͱͭ͋ͨΓͷॏ͞ͷޡࠩ ͲΜͳޡ͕ࠩ͋Δʁ ͽΐ͜ͽΐ͜
ޡࠩͷѱӨڹ • ޡൃ͕͓͖Δ͜ͱ͕͋Δ • ᮢະຬͰࣗಈൃΛߦ͏ • ޡࠩͷӨڹʹΑΓᮢۙลΛਪҠ͢Δ • ޡࠩͷӨڹͰᮢະຬʹෳճ౸ୡ •
ޡൃ😇 ൃ ൃ
࣍ • ޡࠩ is Կ • ฐࣾϓϩμΫτʹ͓͚Δޡࠩࣄ • ▶ ޡࠩΛऔΓআͨ͘ΊͷऔΓΈ
• ·ͱΊ
• ܭଌث۩ͷޡࠩ • ༷ޡࠩ (x±(100g+(ॏྔ×1%))) • θϩζϨ • etc.. •
ଌΔରͷࡏݿͷޡࠩ • ࡏݿͻͱͭ͋ͨΓͷॏ͞ͷޡࠩ ͲΜͳޡ͕ࠩ͋Δʁʢ࠶ܝʣ
• ܭଌث۩ͷޡࠩ • ༷ޡࠩ (x±(100g+(ॏྔ×1%))) • θϩζϨ • etc.. •
ଌΔରͷࡏݿͷޡࠩ • ࡏݿͻͱͭ͋ͨΓͷॏ͞ͷޡࠩ ͲΜͳޡ͕ࠩ͋Δʁʢ࠶ܝʣ ۮવޡࠩ
• ਅʹ͍ۙ΄Ͳൃੜ֬ߴ • ಉ͡େ͖͞ͷਖ਼ෛͷޡࠩಉ͡සͰ ى͜Δ • ฏۉ͕Ұ൪ਅͷ͕֬ߴ͍ਪఆ ۮવޡࠩͷಛ
• ਅʹ͍ۙ΄Ͳൃੜ֬ߴ • ಉ͡େ͖͞ͷਖ਼ෛͷޡࠩಉ͡සͰى͜Δ • ฏۉ͕Ұ൪ਅͷ͕֬ߴ͍ਪఆ • →ͷਪఆʹฏۉΛ͏Α͏ʹ ۮવޡࠩͷಛ
݁Ռɻɻɻ
ͽΐ͜ͽΐ͜ճ͕ɻɻɻ
ׂ̒ݮ
ׂ̒ݮ ʢҰ൪ޮՌ͕ग़ͨσόΠεʣ
None
ΊͰͨ͠🎉
·ͱΊ • ޡࠩͷઆ໌ͱฐࣾϓϩμΫτͷӨڹΛղઆ͠·ͨ͠ • ۮવޡࠩฏۉΛऔΔ͜ͱͰऔΓআ͚Δ • ·ͩ·ͩऔΓΉ͖ޡࠩ͋Δ
• ܭଌث۩ͷޡࠩ • ༷ޡࠩ (x±(100g+(ॏྔ×1%))) • θϩζϨ • etc.. •
ଌΔରͷࡏݿͷޡࠩ • ࡏݿͻͱͭ͋ͨΓͷॏ͞ͷޡࠩ ͲΜͳޡ͕ࠩ͋Δʁʢ࠶ܝʣ
·ͱΊ • ޡࠩͷઆ໌ͱฐࣾϓϩμΫτͷӨڹΛղઆ͠·ͨ͠ • ۮવޡࠩฏۉΛऔΔ͜ͱͰऔΓআ͚Δ • ·ͩ·ͩऔΓΉ͖ޡࠩ͋Δ • ޡࠩͱͷઓ͍͜Ε͔Βଓ͘ɻɻ
ࢀߟจݙ • ޡࠩ: https://www.edu.kobe-u.ac.jp/iphe-butsuri/pr/img/Inoue-statistics1.pdf • ଌఆͱޡࠩ: https://ocw.nagoya-u.jp/ fi les/143/Ex_1.pdf •
͡Ίͯͷޡࠩ: https://dora.bk.tsukuba.ac.jp/~takeuchi/? %E3%81%AF%E3%81%98%E3%82%81%E3%81%A6%E3%81%AE%E8%AA%A4%E5%B7% AE%E8%AB%96 • ܭଌثߍਖ਼ͷצͲ͜Ζ: https://dl.cdn-anritsu.com/anritsu-customersupport/ja-jp/reliability/useful- contents/maintenance/calibration/201303-01.pdf • ޡࠩ: https://ja.wikipedia.org/wiki/%E8%AA%A4%E5%B7%AE • Observational error: https://en.wikipedia.org/wiki/Observational_error