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일원배치법_변량모형_반복수_균일 [2012/07/23 18:11] moonrepeat [자료의 구조] |
일원배치법_변량모형_반복수_균일 [2021/03/10 21:42] (현재) |
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| 줄 19: | 줄 19: | ||
| ^ ^ [[인자]]의 [[수준]] ^^^^^ 합계 | | ^ ^ [[인자]]의 [[수준]] ^^^^^ 합계 | | ||
| ^:::^ $$A_{1}$$ ^ $$A_{2}$$ ^ $$A_{3}$$ ^ $$\cdots$$ ^ $$A_{l}$$ ^:::| | ^:::^ $$A_{1}$$ ^ $$A_{2}$$ ^ $$A_{3}$$ ^ $$\cdots$$ ^ $$A_{l}$$ ^:::| | ||
| - | | 실험의\\ 반 복 | $$y_{11}$$ | $$y_{21}$$ | $$y_{31}$$ | $$\cdots$$ | $$y_{l1}$$ | | | + | | 실험의\\ [[반복]] | $$y_{11}$$ | $$y_{21}$$ | $$y_{31}$$ | $$\cdots$$ | $$y_{l1}$$ | | |
| |:::| $$y_{12}$$ | $$y_{22}$$ | $$y_{32}$$ | $$\cdots$$ | $$y_{l2}$$ |:::| | |:::| $$y_{12}$$ | $$y_{22}$$ | $$y_{32}$$ | $$\cdots$$ | $$y_{l2}$$ |:::| | ||
| |:::| $$\vdots$$ | $$\vdots$$ | $$\vdots$$ | | $$\vdots$$ |:::| | |:::| $$\vdots$$ | $$\vdots$$ | $$\vdots$$ | | $$\vdots$$ |:::| | ||
| 줄 62: | 줄 62: | ||
| $$E(V_{E}) = \sigma_{E}^{ \ \ 2}$$ | $$E(V_{E}) = \sigma_{E}^{ \ \ 2}$$ | ||
| ===== 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]]\\ $\rho$ | |
| - | |||||||||||||||||| || | + | | $$A$$ | $$S_{_{A}}$$ | $$\nu_{_{A}} = l - 1$$ | $$V_{_{A}} = S_{_{A}} / \nu_{_{A}}$$ | $$\sigma_{_{E}}^{ \ 2} + r \ \sigma_{_{A}}^{ \ 2}$$ | $$V_{_{A}}/V_{_{E}}$$ | $$F_{1-\alpha}(\nu_{_{A}} \ , \ \nu_{_{E}})$$ | $$S_{_{A}}\acute{} = S_{_{A}} - \nu_{_{A}} \ V_{_{E}}$$ | $$S_{_{A}}\acute{} / S_{_{T}} $$ | |
| - | || $$A$$ || $$S_{_{A}}$$ || $$\nu_{_{A}} = l - 1$$ || $$V_{_{A}} = S_{_{A}} / \nu_{_{A}}$$ || $$\sigma_{_{E}}^{ \ 2} + r \ \sigma_{_{A}}^{ \ 2}$$ || $$V_{_{A}}/V_{_{E}}$$ || $$F_{1-\alpha}(\nu_{_{A}} \ , \ \nu_{_{E}})$$ || $$S_{_{A}}\acute{} = S_{_{A}} - \nu_{_{A}} \ V_{_{E}}$$ || $$S_{_{A}}\acute{} / S_{_{T}} $$ || | + | | $$E$$ | $$S_{_{E}}$$ | $$\nu_{_{E}} = l(r - 1)$$ | $$V_{_{E}} = S_{_{E}} / \nu_{_{E}}$$ | $$\sigma_{_{E}}^{ \ 2}$$ | | | $$S_{_{E}}\acute{} = S_{_{T}} - S_{_{A}}\acute{}$$ | $$S_{_{E}}\acute{} / S_{_{T}} $$ | |
| - | || $$E$$ || $$S_{_{E}}$$ || $$\nu_{_{E}} = l(r - 1)$$ || $$V_{_{E}} = S_{_{E}} / \nu_{_{E}}$$ || $$\sigma_{_{E}}^{ \ 2}$$ || || || $$S_{_{E}}\acute{} = S_{_{T}} - S_{_{A}}\acute{}$$ || $$S_{_{E}}\acute{} / S_{_{T}} $$ || | + | | $$T$$ | $$S_{_{T}}$$ | $$\nu_{_{T}} = lr - 1$$ | | | | | $$S_{_{T}}$$ | $$1$$ | |
| - | |||||||||||||||||| || | + | |
| - | || $$T$$ || $$S_{_{T}}$$ || $$\nu_{_{T}} = lr - 1$$ || || || || || $$S_{_{T}}$$ || $$1$$ || | + | |
| ===== 분산분석 ===== | ===== 분산분석 ===== | ||
| $$F_{0}=\frac{V_{_{A}}}{V_{_{E}}}$$ | $$F_{0}=\frac{V_{_{A}}}{V_{_{E}}}$$ | ||