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Survival Analysis

Log-Rank Test for Comparing Survival Curves

Description

The Mantel-Cox log-rank test compares survival curves from two groups. It checks whether the groups have a statistically significant difference in survival time. This makes it useful when the timing of an event matters, such as death or disease recurrence.

The log-rank test is non-parametric. Tha...

Transcript

Mantel-Cox ๋กœ๊ทธ ์ˆœ์œ„ ๊ฒ€์ •์€ ๋‘ ๊ทธ๋ฃน ๊ฐ„์˜ ์ƒ์กด ๋ถ„ํฌ ๊ณก์„ ์„ ๋น„๊ตํ•˜๊ธฐ ์œ„ํ•œ ๋น„๋ชจ์ˆ˜ ํ†ต๊ณ„ ๋ฐฉ๋ฒ•์ž…๋‹ˆ๋‹ค.

์ผ๋ฐ˜์ ์œผ๋กœ ์‹œ๊ฐ„ ๊ฒฝ๊ณผ์— ๋”ฐ๋ฅธ ์น˜๋ฃŒ ํšจ๊ณผ๋ฅผ ํ‰๊ฐ€ํ•˜๊ณ  ์ถ”๊ฐ€ ์—ฐ๊ตฌ๋ฅผ ์•ˆ๋‚ดํ•˜๊ธฐ ์œ„ํ•ด ์ž„์ƒ ์—ฐ๊ตฌ์— ์‚ฌ์šฉ๋ฉ๋‹ˆ๋‹ค.

์˜ˆ๋ฅผ ๋“ค์–ด, ์—ฐ๊ตฌ์ž๋“ค์€ ์ด ํ…Œ์ŠคํŠธ๋ฅผ ์‚ฌ์šฉํ•˜์—ฌ ์ƒˆ๋กœ์šด ์น˜๋ฃŒ๋ฅผ ๋ฐ›๋Š” ํ•œ ๊ทธ๋ฃน๊ณผ ๋Œ€์กฐ ์น˜๋ฃŒ๋ฅผ ๋ฐ›๋Š” ๋‹ค๋ฅธ ๊ทธ๋ฃน์˜ ์ƒ์กด ๊ณก์„  ๊ฐ„์— ํ†ต๊ณ„์ ์œผ๋กœ ์œ ์˜๋ฏธํ•œ ์ฐจ์ด๋ฅผ ๊ฒฐ์ •ํ•  ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค.

Mantel-Cox ๊ฒ€์ •์€ ํŠน์ • ์ƒ์กด ์‹œ๊ฐ„ ๋ถ„ํฌ๋ฅผ ๊ฐ€์ •ํ•˜์ง€ ์•Š๊ณ  ๊ทธ๋ฃน ๊ฐ„์— ๊ด€์ฐฐ๋œ ์ด๋ฒคํŠธ์™€ ๊ธฐ๋Œ€ ์ด๋ฒคํŠธ ๊ฐ„์˜ ์ฐจ์ด๋ฅผ ๊ณ„์‚ฐํ•ฉ๋‹ˆ๋‹ค. ๋ชจ๋“  ํ”ผํ—˜์ž๊ฐ€ ์‚ฌ๋ง์ด๋‚˜ ์งˆ๋ณ‘ ์žฌ๋ฐœ๊ณผ ๊ฐ™์€ ๊ด€์‹ฌ ์ด๋ฒคํŠธ๋ฅผ ๊ฒฝํ—˜ํ•˜์ง€ ์•Š์„ ์ˆ˜ ...