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이원배치법_혼합모형_반복있음 [2012/07/26 11:47] moonrepeat [자료의 구조] |
이원배치법_혼합모형_반복있음 [2021/03/10 21:42] (현재) |
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| ^ [[인자]]\\ $B$ ^ [[인자]] $A$ ^^^^^^^ 합계 ^ [[평균]] | | ^ [[인자]]\\ $B$ ^ [[인자]] $A$ ^^^^^^^ 합계 ^ [[평균]] | | ||
| ^:::^ $$A_{1}$$ ^^ $$A_{2}$$ ^^ $$\cdots$$ ^ $$A_{l}$$ ^^:::^:::| | ^:::^ $$A_{1}$$ ^^ $$A_{2}$$ ^^ $$\cdots$$ ^ $$A_{l}$$ ^^:::^:::| | ||
| - | | $$B_{1}$$ | $$y_{111}$$ | $$T_{11.}$$ | $$y_{211}$$ | $$T_{21.}$$ | $$\cdots$$ | $$y_{l11}$$ | $$T_{l1.}$$ | $$T_{.1.}$$ | $$\overline{y}_{.1.}$$ | | + | ^ $$B_{1}$$ | $$y_{111}$$ | $$T_{11.}$$ | $$y_{211}$$ | $$T_{21.}$$ | $$\cdots$$ | $$y_{l11}$$ | $$T_{l1.}$$ | $$T_{.1.}$$ | $$\overline{y}_{.1.}$$ | |
| |:::| $$y_{112}$$ |:::| $$y_{212}$$ |:::|:::| $$y_{l12}$$ |:::|:::|:::| | |:::| $$y_{112}$$ |:::| $$y_{212}$$ |:::|:::| $$y_{l12}$$ |:::|:::|:::| | ||
| |:::| $$\vdots$$ | $$\overline{y}_{11.}$$ | $$\vdots$$ | $$\overline{y}_{21.}$$ |:::| $$\vdots$$ | $$\overline{y}_{l1.}$$ |:::|:::| | |:::| $$\vdots$$ | $$\overline{y}_{11.}$$ | $$\vdots$$ | $$\overline{y}_{21.}$$ |:::| $$\vdots$$ | $$\overline{y}_{l1.}$$ |:::|:::| | ||
| |:::| $$y_{11r}$$ |:::| $$y_{21r}$$ |:::|:::| $$y_{l1r}$$ |:::|:::|:::| | |:::| $$y_{11r}$$ |:::| $$y_{21r}$$ |:::|:::| $$y_{l1r}$$ |:::|:::|:::| | ||
| - | + | ^ $$B_{2}$$ | $$y_{121}$$ | $$T_{12.}$$ | $$y_{221}$$ | $$T_{22.}$$ | $$\cdots$$ | $$y_{l21}$$ | $$T_{l2.}$$ | $$T_{.2.}$$ | $$\overline{y}_{.2.}$$ | | |
| - | || $$\vdots$$ ||<|2> $$\overline{y}_{11.}$$ || $$\vdots$$ ||<|2> $$\overline{y}_{21.}$$ || $$\vdots$$ ||<|2> $$\overline{y}_{l1.}$$ || | + | |:::| $$y_{122}$$ |:::| $$y_{222}$$ |:::|:::| $$y_{l22}$$ |:::|:::|:::| |
| - | || $$y_{11r}$$ || $$y_{21r}$$ || $$y_{l1r}$$ || | + | |:::| $$\vdots$$ | $$\overline{y}_{12.}$$ | $$\vdots$$ | $$\overline{y}_{22.}$$ |:::| $$\vdots$$ | $$\overline{y}_{l2.}$$ | :::|:::| |
| - | ||<|4> $$B_{2}$$ || $$y_{121}$$ ||<|2> $$T_{12.}$$ || $$y_{221}$$ ||<|2> $$T_{22.}$$ ||<|4> $$\cdots$$ || $$y_{l21}$$ ||<|2> $$T_{l2.}$$ ||<|4> $$T_{.2.}$$ ||<|4> $$\overline{y}_{.2.}$$ || | + | |:::| $$y_{12r}$$ |:::| $$y_{22r}$$ |:::|:::| $$y_{l2r}$$ |:::|:::|:::| |
| - | || $$y_{122}$$ || $$y_{222}$$ || $$y_{l22}$$ || | + | ^ $$\vdots$$ | $$\vdots$$ || $$\vdots$$ || $$\vdots$$ | $$\vdots$$ || $$\vdots$$ | $$\vdots$$ | |
| - | || $$\vdots$$ ||<|2> $$\overline{y}_{12.}$$ || $$\vdots$$ ||<|2> $$\overline{y}_{22.}$$ || $$\vdots$$ ||<|2> $$\overline{y}_{l2.}$$ || | + | ^ $$B_{m}$$ | $$y_{1m1}$$ | $$T_{1m.}$$ | $$y_{2m1}$$ | $$T_{2m.}$$ | $$\cdots$$ | $$y_{lm1}$$ | $$T_{lm.}$$ | $$T_{.m.}$$ | $$\overline{y}_{.m.}$$ | |
| - | || $$y_{12r}$$ || $$y_{22r}$$ || $$y_{l2r}$$ || | + | |:::| $$y_{1m2}$$ |:::| $$y_{2m2}$$ |:::|:::| $$y_{lm2}$$ |:::|:::|:::| |
| - | || $$\vdots$$ |||| $$\vdots$$ |||| $$\vdots$$ || $$\vdots$$ |||| $$\vdots$$ || $$\vdots$$ || $$\vdots$$ || | + | |:::| $$\vdots$$ | $$\overline{y}_{1m.}$$ | $$\vdots$$ | $$\overline{y}_{2m.}$$ |:::| $$\vdots$$ | $$\overline{y}_{lm.}$$ |:::|:::| |
| - | ||<|4> $$B_{m}$$ || $$y_{1m1}$$ ||<|2> $$T_{1m.}$$ || $$y_{2m1}$$ ||<|2> $$T_{2m.}$$ ||<|4> $$\cdots$$ || $$y_{lm1}$$ ||<|2> $$T_{lm.}$$ ||<|4> $$T_{.m.}$$ ||<|4> $$\overline{y}_{.m.}$$ || | + | |:::| $$y_{1mr}$$ |:::| $$y_{2mr}$$ |:::|:::| $$y_{lmr}$$ |:::|:::|:::| |
| - | || $$y_{1m2}$$ || $$y_{2m2}$$ || $$y_{lm2}$$ || | + | ^ 합계 ^ $$T_{1..}$$ ^^ $$T_{2..}$$ ^^ $$\cdots$$ ^ $$T_{l..}$$ ^^ $$T$$ ^ ^ |
| - | || $$\vdots$$ ||<|2> $$\overline{y}_{1m.}$$ || $$\vdots$$ ||<|2> $$\overline{y}_{2m.}$$ || $$\vdots$$ ||<|2> $$\overline{y}_{lm.}$$ || | + | ^ [[평균]] ^ $$\overline{y}_{1..}$$ ^^ $$\overline{y}_{2..}$$ ^^ $$\cdots$$ ^ $$\overline{y}_{l..}$$ ^^ ^ $$\overline{\overline{y}}$$ ^ |
| - | || $$y_{1mr}$$ || $$y_{2mr}$$ || $$y_{lmr}$$ || | + | |
| - | |||||||||||||||||||| || | + | |
| - | || 합계 |||| $$T_{1..}$$ |||| $$T_{2..}$$ || $$\cdots$$ |||| $$T_{l..}$$ || $$T$$ || || | + | |
| - | || [평균] |||| $$\overline{y}_{1..}$$ |||| $$\overline{y}_{2..}$$ || $$\cdots$$ |||| $$\overline{y}_{l..}$$ || || $$\overline{\overline{y}}$$ || | + | |
| | $$T_{i..} = \sum_{j=1}^{m} \sum_{k=1}^{r} y_{ijk}$$ | $$\overline{y}_{i..} = \frac{T_{i..}}{mr}$$ | | | $$T_{i..} = \sum_{j=1}^{m} \sum_{k=1}^{r} y_{ijk}$$ | $$\overline{y}_{i..} = \frac{T_{i..}}{mr}$$ | | ||