๐Ÿ—‚๏ธData Science/Statistic

    ์นด์ด์ œ๊ณฑ ๊ฒ€์ •(Chi Squared Test)

    # 1 .์นด์ด์ œ๊ณฑ ๊ฒ€์ •์ด๋ž€? $X^2$๊ฒ€์ •์€ ์นด์ด์ œ๊ณฑ ๋ถ„ํฌ์— ๊ธฐ์ดˆํ•œ ํ†ต๊ณ„์  ๋ฐฉ๋ฒ• _๊ด€์ฐฐ๋œ ๋นˆ๋„๊ฐ€ ๊ธฐ๋Œ€๋˜๋Š” ๋นˆ๋„์™€ ์œ ์˜ํ•˜๊ฒŒ ๋‹ค๋ฅธ์ง€๋ฅผ ๊ฒ€์ฆ_ ๋ฒ”์ฃผํ˜• ์ž๋ฃŒ๋กœ ๊ตฌ์„ฑ๋œ ๋ฐ์ดํ„ฐ ๋ถ„์„์— ์ด์šฉ ์นด์ด์ œ๊ณฑ ๊ฐ’์€ $X^2 = \sum(๊ด€์ธก๊ฐ’ - ๊ธฐ๋Œ€๊ฐ’)^2/๊ธฐ๋Œ€๊ฐ’$ ์นด์ด์ œ๊ณฑ ๊ฒ€์ •์˜ ํ˜•ํƒœ ์ ํ•ฉ๋„ ๊ฒ€์ •(Goodness of fit test) ๋™์งˆ์„ฑ ๊ฒ€์ •(Test of Homogeneity) ๋…๋ฆฝ์„ฑ ๊ฒ€์ •(Test of independence) # 2 . ์ ํ•ฉ๋„ ๊ฒ€์ •(One Sample Test) ์ ํ•ฉ๋„ ๊ฒ€์ •์ด๋ž€? ๋‹จ์ผ ํ‘œ๋ณธ์—์„œ ํ•ด๋‹น ํ‘œ๋ณธ์ด ์œ ์˜๋ฏธํ•œ์ง€๋ฅผ ๊ฒ€์ •ํ•˜๊ณ , ์ž์œ ๋„๋Š” "์ข…์†๋ณ€์ˆ˜์˜ ๋ฒ”์ฃผ -1"์ด๋‹ค. ์˜ˆ๋ฅผ ๋“ค์ž๋ฉด, ์ฃผ์‚ฌ์œ„๋ฅผ 120๋ฒˆ ๋˜์กŒ๋‹ค๊ณ  ํ–ˆ์„ ๋•Œ, 1~6๋ฒˆ๊นŒ์ง€ ๊ธฐ๋Œ€๊ฐ’์€ ๊ฐ๊ฐ 20์ด๋ผ๊ณ  ํ•  ์ˆ˜ ์žˆ๋‹ค. ๊ทธ ๋•Œ ์‹ค์ œ๋กœ ๋‚˜์˜จ ๋ฐ์ดํ„ฐ..