Statistics

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A Statistical Significance Simulation Study for the General Scientist

A Statistical Significance Simulation Study for the General Scientist

1. ์—ฐ๊ตฌ ๋ฐฐ๊ฒฝ ๋ฐ ๋ชฉ์  ํ†ต๊ณ„์  ์œ ์˜์„ฑ์€ ๊ณผํ•™์ž๋“ค์ด ์ž์‹ ์˜ ์‹คํ—˜ ๊ฒฐ๊ณผ๋ฅผ ๊ฒ€์ฆํ•˜๋Š” ๋ฐ ์ค‘์š”ํ•œ ์—ญํ• ์„ ํ•˜๋Š”๋ฐ, ์ด๋Š” ๊ด€์ฐฐ๋œ ์ฐจ์ด๊ฐ€ ์šฐ์—ฐํžˆ ๋ฐœ์ƒํ•œ ๊ฒƒ์ผ ๊ฐ€๋Šฅ์„ฑ์ด ๋งค์šฐ ๋‚ฎ๋‹ค๋Š” ๊ฒƒ์„ ์˜๋ฏธํ•œ๋‹ค. ์ผ๋ฐ˜์ ์œผ๋กœ p ๊ฐ’์ด 0.05 ๋ฏธ๋งŒ์ธ ๊ฒฝ์šฐ ํ†ต๊ณ„์  ์œ ์˜์„ฑ์„ ์ธ์ •ํ•œ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ๋ณธ ๋…ผ๋ฌธ์€ ํ‘œ๋ณธ ์ˆ˜๊ฐ€ ์ฆ๊ฐ€ํ•จ์— ๋”ฐ๋ผ ๋‘ ๊ทธ๋ฃน ๊ฐ„์˜ ์ฐจ์ด๊ฐ€ ํ†ต๊ณ„์ ์œผ๋กœ ์œ ์˜๋ฏธํ•˜๊ฒŒ ์ž‘์•„์ง€๋Š” ํ˜„์ƒ์„ ๋ถ„์„ํ•˜๊ณ , ์ด๋กœ ์ธํ•ด p ๊ฐ’ ์ž„๊ณ„์น˜(p<0.05)๋ฅผ ์‚ฌ์šฉํ•˜๋Š” ๊ฒƒ์ด ๊ณผํ•™์ž๋“ค์—๊ฒŒ ๋งค์šฐ ๋‚ฎ์€ ๊ธฐ์ค€์„ ์„ค์ •ํ•œ๋‹ค๋Š” ๊ฒƒ์„ ์ง€์ ํ•œ๋‹ค. 2. ์—ฐ๊ตฌ ๋ฐฉ๋ฒ• ๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” ๋‘ ์ƒ˜ํ”Œ t ๊ฒ€์ •์„ ์‚ฌ์šฉํ•˜์—ฌ

Statistics Applications Physics
VC dimension of ellipsoids

VC dimension of ellipsoids

: ๋ณธ ๋…ผ๋ฌธ์€ ์—˜๋ฆฝ์†Œ์ด๋“œ์˜ ๋ณต์žก์„ฑ์„ ์ธก์ •ํ•˜๋Š” VC ์ฐจ์›์— ๋Œ€ํ•œ ์‹ฌ์ธต์ ์ธ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•œ๋‹ค. ์ด๋Š” ํ•™์Šต ์ด๋ก ์—์„œ ์ค‘์š”ํ•œ ๊ฐœ๋…์œผ๋กœ, ๋ฐ์ดํ„ฐ ๋ถ„์„ ๋ฐ ๋ชจ๋ธ ์„ ํƒ์— ํ™œ์šฉ๋œ๋‹ค. 1. VC ์ฐจ์›์˜ ์ •์˜์™€ ์ค‘์š”์„ฑ VC ์ฐจ์›์€ ์ง‘ํ•ฉ์ด ์–ผ๋งˆ๋‚˜ ๋ณต์žกํ•œ ํ˜•ํƒœ๋ฅผ ๊ฐ€์งˆ ์ˆ˜ ์žˆ๋Š”์ง€๋ฅผ ์ธก์ •ํ•˜๋Š” ์ง€ํ‘œ๋กœ, ๊ฒฝํ—˜์  ๊ณผ์ • ์ด๋ก , ํ†ต๊ณ„ ๋ฐ ๊ณ„์‚ฐ ํ•™์Šต ์ด๋ก , ๊ทธ๋ฆฌ๊ณ  ์ด์‚ฐ ๊ธฐํ•˜ํ•™ ๋“ฑ ๋‹ค์–‘ํ•œ ๋ถ„์•ผ์—์„œ ํ™œ์šฉ๋œ๋‹ค. ํŠนํžˆ, VC ์ฐจ์›์€ ๋ฐ์ดํ„ฐ์˜ ๋ณต์žก์„ฑ์„ ์ธก์ •ํ•˜๊ณ  ๋ชจ๋ธ ์„ ํƒ์— ์ค‘์š”ํ•œ ์—ญํ• ์„ ํ•œ๋‹ค. 2. ์—˜๋ฆฝ์†Œ์ด๋“œ์™€ ๊ฐ€์šฐ์‹œ์•ˆ ํ˜ผํ•ฉ ๋ชจ๋ธ ์—˜๋ฆฝ์†Œ์ด๋“œ๋Š” d์ฐจ์› ๊ณต๊ฐ„์—์„œ ์ •์˜๋˜๋Š” ์ง‘ํ•ฉ์œผ๋กœ,

Mathematics Statistics Computer Science Machine Learning
Revealing Sub-Optimality Conditions of Strategic Decisions

Revealing Sub-Optimality Conditions of Strategic Decisions

๋ณธ ๋…ผ๋ฌธ์€ ์ „๋žต์  ์˜์‚ฌ๊ฒฐ์ • ๊ณผ์ •์—์„œ ๋ฐœ์ƒํ•˜๋Š” ํ•˜์œ„ ์ตœ์ ์„ฑ ์กฐ๊ฑด์„ ํƒ์ƒ‰ํ•˜๊ณ  ๋ถ„์„ํ•œ๋‹ค. ์ด ์—ฐ๊ตฌ๋Š” ์ ํ•ฉ๋„ ํ’๊ฒฝ ์ด๋ก ์„ ๊ธฐ๋ฐ˜์œผ๋กœ, ์˜์‚ฌ๊ฒฐ์ •์ž๊ฐ€ ์™œ ์ง€์—ญ ์ตœ์ ๊ฐ’์— ๋„๋‹ฌํ•˜์ง€ ๋ชปํ•œ ์ฑ„ ํƒ์ƒ‰์„ ์ค‘๋‹จํ•˜๋Š”์ง€์— ๋Œ€ํ•œ ์ดํ•ด๋ฅผ ๋†’์ด๊ธฐ ์œ„ํ•œ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๋ถ„์„์„ ์ˆ˜ํ–‰ํ•œ๋‹ค. 1. ์ ํ•ฉ๋„ ํ’๊ฒฝ ์ด๋ก ์˜ ๋ฐฐ๊ฒฝ ์ ํ•ฉ๋„ ํ’๊ฒฝ ์ด๋ก ์€ ์ง„ํ™” ์ƒ๋ฌผํ•™์—์„œ ์œ ์ „์ž ๊ณต๊ฐ„์˜ ํƒ์ƒ‰ ๊ณผ์ •์„ ์„ค๋ช…ํ•˜๋Š” ๊ฐœ๋…์œผ๋กœ ์‚ฌ์šฉ๋˜์–ด ์™”๋‹ค (Wright, 1932; Gillespie, 1984). ์ด ์ด๋ก ์€ ์กฐ์ง ๋ณ€ํ™”, ์‚ฌํšŒ ๊ตฌ์กฐ์˜ ์ง„ํ™”, ํ˜์‹  ๋„คํŠธ์›Œํฌ ๋“ฑ ๋‹ค์–‘ํ•œ ๋ถ„์•ผ์—์„œ ํ™œ์šฉ๋˜๊ณ  ์žˆ๋‹ค. ํŠนํžˆ, NK

Statistics
Determination of Different Biological Factors on the Base of Dried Blood   Spot Technology

Determination of Different Biological Factors on the Base of Dried Blood Spot Technology

๋ณธ ๋…ผ๋ฌธ์€ ๊ฑด์กฐํ˜ˆ์•ก๋ฐฉ์šธ(DBS) ๊ธฐ์ˆ ์„ ํ™œ์šฉํ•œ ํ˜ˆ๋Ÿ‰ ๊ณ„์‚ฐ ๋ฐฉ๋ฒ•์— ๋Œ€ํ•œ ์‹ฌ๋„ ์žˆ๋Š” ๋ถ„์„์„ ์ œ๊ณตํ•ฉ๋‹ˆ๋‹ค. DBS๋Š” ํ™˜์ž๊ฐ€ ์ง์ ‘ ํ˜ˆ์•ก ์ƒ˜ํ”Œ์„ ์ฑ„์ทจํ•˜๊ณ  ์ด๋ฅผ ์—ฌ๊ณผ์ง€๋‚˜ ์„ธํฌ์งˆ ์•„์„ธํ…Œ์ดํŠธ ๋ง‰ ๋“ฑ์— ๋ฐฉ์šธ ํ˜•ํƒœ๋กœ ๊ฑด์กฐํ•˜์—ฌ ์‹คํ—˜์‹ค๋กœ ๋ณด๋‚ด๋Š” ๊ธฐ์ˆ ์ž…๋‹ˆ๋‹ค. ์ด ๋ฐฉ๋ฒ•์€ ๋Œ€์‚ฌ๋ฌผ์งˆ, ํ˜ธ๋ฅด๋ชฌ, ํ˜ˆ๋‹น์ˆ˜์น˜, ๋ฉด์—ญ ์ฒด๊ณ„ ์ง€ํ‘œ ๋“ฑ์˜ ๋‹ค์–‘ํ•œ ์ƒ๋ฌผํ•™์  ํŠน์„ฑ์„ ๋ถ„์„ํ•  ์ˆ˜ ์žˆ๋Š” ๊ธฐํšŒ๋ฅผ ์ œ๊ณตํ•˜๋ฉฐ, ํŠนํžˆ DNA ๋ฐ RNA ๋ถ„์„ ๊ฐ€๋Šฅ์„ฑ์œผ๋กœ ์—์ด์ฆˆ๋‚˜ ๊ฐ„์—ผ๊ณผ ๊ฐ™์€ ๊ฐ์—ผ๋ณ‘์˜ ๋Œ€๋Ÿ‰ ์กฐ์‚ฌ๋ฅผ ๊ฐ€๋Šฅํ•˜๊ฒŒ ํ•ฉ๋‹ˆ๋‹ค. ๋ณธ ์—ฐ๊ตฌ๋Š” DBS ๋ฐฉ์šธ์˜ ์ฒด์ ์„ ๋„์ง• ์žฅ์น˜ ์—†์ด ๊ณ„์‚ฐํ•˜๋Š” ๋ณดํŽธ์ ์ธ ๋ฐฉ๋ฒ•์„ ๊ฐœ๋ฐœํ•˜๊ณ ์ž

Statistics Physics Mathematics
No Image

Mathematical proof of fraud in Russian elections unsound

์ด ๋…ผ๋ฌธ์€ ๋Ÿฌ์‹œ์•„ ์„ ๊ฑฐ ๊ฒฐ๊ณผ์— ๋Œ€ํ•œ ์ˆ˜ํ•™์  ๋ถ„์„๊ณผ ๋น„ํŒ์„ ์ค‘์‹ฌ์œผ๋กœ, ํŠนํžˆ ๊ฐ€์šฐ์Šค ๋ถ„ํฌ์™€ ํˆฌํ‘œ์œจ์˜ ๊ด€๊ณ„๋ฅผ ํƒ๊ตฌํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. ์ฃผ์š” ๋‚ด์šฉ์€ ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: 1. ๊ฐ€์šฐ์Šค ๋ถ„ํฌ์™€ ํˆฌํ‘œ์œจ ๋…ผ๋ฌธ์€ ๋ธ”๋กœ๊ฑฐ๊ฐ€ ์—ฐํ•ฉ ๋Ÿฌ์‹œ์•„๋‹น์˜ ํˆฌํ‘œ์œจ์ด ์ง€์—ญ๊ตฌ๋ณ„๋กœ ๋น„๊ฐ€์šฐ์Šค ๋ถ„ํฌ๋ฅผ ๋ณด์ธ๋‹ค๋Š” ์ ์„ ์ง€์ ํ•˜๊ณ  ์ด๋ฅผ ์„ ๊ฑฐ ์กฐ์ž‘์˜ ์ฆ๊ฑฐ๋กœ ์ฃผ์žฅํ•˜๋Š” ๋‚ด์šฉ์— ๋Œ€ํ•ด ๋ฐ˜๋ก ํ•ฉ๋‹ˆ๋‹ค. ๊ฐ€์šฐ์Šค ๋ถ„ํฌ๋Š” ์—ฌ๋Ÿฌ ๋…๋ฆฝ์ ์ธ ์š”์ธ์ด ์ƒํ˜ธ์ž‘์šฉํ•  ๋•Œ ๋ฐœ์ƒํ•˜๋ฉฐ, ์ด๋Š” ์ž์—ฐ ํ˜„์ƒ์—์„œ ํ”ํžˆ ๋ณผ ์ˆ˜ ์žˆ๋Š” ํŒจํ„ด์ž…๋‹ˆ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ๋ชจ๋“  ์‚ฌํšŒ์  ํ˜„์ƒ์ด ์ด๋Ÿฌํ•œ ํŒจํ„ด์„ ๋”ฐ๋ฅด์ง€ ์•Š๋Š”๋‹ค๋Š” ์ ์„ ๊ฐ•์กฐํ•ฉ๋‹ˆ๋‹ค. 2. ๋งˆ๋ฅด์ฝ”ํ”„์˜ ๋ชจ๋ธ

Applications Statistics Physics
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Extrapolation of Urn Models via Poissonization: Accurate Measurements of the Microbial Unknown

๋ณธ ๋…ผ๋ฌธ์€ ๋ฏธ์ƒ๋ฌผ ๊ณต๋™์ฒด ๋‚ด์˜ ๋‹ค์–‘์„ฑ์„ ์ธก์ •ํ•˜๋Š” ๊ธฐ์กด ๋ฐฉ๋ฒ•๋ก ์˜ ํ•œ๊ณ„๋ฅผ ๊ทน๋ณตํ•˜๊ณ ์ž, ์ƒ˜ํ”Œ๋ง๋˜์ง€ ์•Š์€ ํด๋ž˜์Šค์˜ ๋น„์œจ์„ ์˜ˆ์ธกํ•˜๋Š” ์ƒˆ๋กœ์šด ์ ‘๊ทผ ๋ฐฉ์‹์„ ์ œ์•ˆํ•œ๋‹ค. ์ด๋Š” ๋ฏธ์ƒ๋ฌผ ์—ฐ๊ตฌ์—์„œ ์ค‘์š”ํ•œ ๋ฌธ์ œ ์ค‘ ํ•˜๋‚˜์ธ '๋ฏธ์ง€์˜ ์–‘'์— ๋Œ€ํ•œ ์ •ํ™•ํ•œ ์ธก์ •์„ ๊ฐ€๋Šฅํ•˜๊ฒŒ ํ•œ๋‹ค. ๋…ผ๋ฌธ์€ ์šฐ๋ฅธ ๋ชจ๋ธ๊ณผ ํฌ์ƒํ™” ๋…ผ์ฆ์„ ํ™œ์šฉํ•˜์—ฌ, ์•„์ง ๋ฐœ๊ฒฌ๋˜์ง€ ์•Š์€ ์ข…์˜ ์กด์žฌ๋ฅผ ๊ฐ€์ •ํ•˜๊ณ  ์ด๋ฅผ ์˜ˆ์ธกํ•˜๋Š” ๋ฐฉ๋ฒ•์„ ์ œ์‹œํ•œ๋‹ค. ์ด๋Š” ์ƒ˜ํ”Œ๋ง๋œ ๋ฐ์ดํ„ฐ์—์„œ ๋ฏธ์ง€์˜ ์–‘์„ ์ถ”๋ก ํ•˜๋Š”๋ฐ ์žˆ์–ด ์ค‘์š”ํ•œ ๋ฐœ์ „์ด๋‹ค. ํŠนํžˆ, ๊ณ ์ •๋œ ์ƒ˜ํ”Œ ํฌ๊ธฐ์—์„œ๋„ ์›๋ณธ ์ƒ˜ํ”Œ์˜ ํ•˜์œ„ ์ง‘ํ•ฉ์— ๋Œ€ํ•ด ๋งค์šฐ ์ •ํ™•ํ•œ ์˜ˆ์ธก ๊ฒฐ๊ณผ๋ฅผ ์ œ๊ณตํ•จ์œผ๋กœ์จ

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