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| 양쪽 이전 판 이전 판 다음 판 | 이전 판 | ||
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난괴법 [2012/07/05 11:51] moonrepeat [제곱합] |
난괴법 [2021/03/10 21:42] (현재) |
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| 줄 66: | 줄 66: | ||
| $$E(V_{E}) = \sigma_{_{E}}^{ \ 2}$$ | $$E(V_{E}) = \sigma_{_{E}}^{ \ 2}$$ | ||
| ===== 분산분석표 ===== | ===== 분산분석표 ===== | ||
| - | | '''[[요인]]''' | '''[[제곱합]]''' $$SS$$ | '''[[자유도]]''' $$DF$$ | '''[[평균제곱]]''' $$MS$$ | $$E(MS)$$ | $$F_{0}$$ | '''기각치''' | '''[[순변동]]''' $$ S\acute{} $$ | '''[[기여율]]''' $$\rho$$ | | + | ^ [[요인]] ^ [[제곱합]] $SS$ ^ [[자유도]] $DF$ ^ [[평균제곱]] $MS$ ^ $E(MS)$ ^ $F_{0}$ ^ [[기각치]] ^ [[순변동]] $S \acute{}$ ^ [[기여율]] $\rho$ | |
| - | |||||||||||||||| | | + | ^ $$A$$ | $$S_{_{A}}$$ | $$\nu_{_{A}} = l - 1$$ | $$V_{_{A}} = S_{_{A}} / \nu_{_{A}}$$ | $$\sigma_{_{E}}^{ \ 2} + m \ \sigma_{_{A}}^{ \ 2}$$ | $$V_{_{A}}/V_{_{E}}$$ | $$F_{1-\alpha}(\nu_{_{A}} \ , \ \nu_{_{E}})$$ | $$S_{_{A}}\acute{} = S_{_{A}} - \nu_{_{A}} \ V_{_{E}}$$ | $$S_{_{A}}\acute{} / S_{_{T}} $$ | |
| - | | $$A$$ | $$S_{_{A}}$$ | $$\nu_{_{A}} = l - 1$$ | $$V_{_{A}} = S_{_{A}} / \nu_{_{A}}$$ | $$\sigma_{_{E}}^{ \ 2} + m \ \sigma_{_{A}}^{ \ 2}$$ | $$V_{_{A}}/V_{_{E}}$$ | $$F_{1-\alpha}(\nu_{_{A}} \ , \ \nu_{_{E}})$$ | $$S_{_{A}}\acute{} = S_{_{A}} - \nu_{_{A}} \ V_{_{E}}$$ | $$S_{_{A}}\acute{} / S_{_{T}} $$ | | + | ^ $$B$$ | $$S_{_{B}}$$ | $$\nu_{_{B}} = m - 1$$ | $$V_{_{B}} = S_{_{B}} / \nu_{_{B}}$$ | $$\sigma_{_{E}}^{ \ 2} + l \ \sigma_{_{B}}^{ \ 2}$$ | $$V_{_{B}}/V_{_{E}}$$ | $$F_{1-\alpha}(\nu_{_{B}} \ , \ \nu_{_{E}})$$ | $$S_{_{B}}\acute{} = S_{_{B}} - \nu_{_{B}} \ V_{_{E}}$$ | $$S_{_{B}}\acute{} / S_{_{T}} $$ | |
| - | | $$B$$ | $$S_{_{B}}$$ | $$\nu_{_{B}} = m - 1$$ | $$V_{_{B}} = S_{_{B}} / \nu_{_{B}}$$ | $$\sigma_{_{E}}^{ \ 2} + l \ \sigma_{_{B}}^{ \ 2}$$ | $$V_{_{B}}/V_{_{E}}$$ | $$F_{1-\alpha}(\nu_{_{B}} \ , \ \nu_{_{E}})$$ | $$S_{_{B}}\acute{} = S_{_{B}} - \nu_{_{B}} \ V_{_{E}}$$ | $$S_{_{B}}\acute{} / S_{_{T}} $$ | | + | ^ $$E$$ | $$S_{_{E}}$$ | $$\nu_{_{E}} = (l - 1)(m - 1)$$ | $$V_{_{E}} = S_{_{E}} / \nu_{_{E}}$$ | $$\sigma_{_{E}}^{ \ 2}$$ | | | $$S_{_{E}}\acute{} = S_{_{T}} - S_{_{A}}\acute{} - S_{_{B}}\acute{}$$ | $$S_{_{E}}\acute{} / S_{_{T}} $$ | |
| - | | $$E$$ | $$S_{_{E}}$$ | $$\nu_{_{E}} = (l - 1)(m - 1)$$ | $$V_{_{E}} = S_{_{E}} / \nu_{_{E}}$$ | $$\sigma_{_{E}}^{ \ 2}$$ | | | $$S_{_{E}}\acute{} = S_{_{T}} - S_{_{A}}\acute{} - S_{_{B}}\acute{}$$ | $$S_{_{E}}\acute{} / S_{_{T}} $$ | | + | ^ $$T$$ | $$S_{_{T}}$$ | $$\nu_{_{T}} = lm - 1$$ | | | | | $$S_{_{T}}$$ | $$1$$ | |
| - | |||||||||||||||| | | + | |
| - | | $$T$$ | $$S_{_{T}}$$ | $$\nu_{_{T}} = lm - 1$$ | | | | | $$S_{_{T}}$$ | $$1$$ | | + | |
| ===== 분산분석 ===== | ===== 분산분석 ===== | ||
| 인자 $A$에 대한 [[분산분석]] | 인자 $A$에 대한 [[분산분석]] | ||
| 줄 105: | 줄 103: | ||
| ---- | ---- | ||
| * [[실험계획법]] | * [[실험계획법]] | ||
| - | * [[결측치추정(Yates방법)]] | + | * [[결측치 추정(Yates방법)]] |