====== 삼원배치법 (혼합모형) (반복없음) ======
===== 데이터 구조 =====
 [[요인]] $A$는 [[모수인자]]

 [[요인]] $B$는 [[모수인자]]

 [[요인]] $R$는 [[변량인자]]

 $$ x_{ijk} = \mu + a_{i} + b_{j} + r_{k} + (ab)_{ij} + (ar)_{ik} + (br)_{jk} + e_{ijk} $$

  * $i$ : [[인자]] $A$의 [[수준]] 수 $( i = 1,2, \cdots ,l )$
  * $j$ : [[인자]] $B$의 [[수준]] 수 $( j = 1,2, \cdots ,m )$
  * $k$ : [[인자]] $R$의 [[수준]] 수 $( k = 1,2, \cdots ,r )$
===== 분산분석표 =====
^  [[요인]]  ^  [[제곱합]]\\ $SS$  ^  [[자유도]]\\ $DF$  ^  [[평균제곱]]\\ $MS$  ^  $E(MS)$  ^  $F_{0}$  ^  [[기각치]]  ^  [[순변동]]\\ $S\acute{}$  ^  [[기여율]]\\ $\rho$  | 
|  $$A$$  |  $$S_{_{A}}$$  |  $$\nu_{_{A}}=l-1$$  |  $$V_{_{A}}=S_{_{A}}/\nu_{_{A}}$$  |  $$\sigma_{_{E}}^{ \ 2}+m \ \sigma_{_{A \times R}}^{ \ 2}+mr \ \sigma_{_{A}}^{2}$$  |  $$V_{_{A}}/V_{_{A \times R}}$$  |  $$F_{1-\alpha}(\nu_{_{A}} \ , \ \nu_{_{A \times R}})$$  |  $$S_{_{A}}\acute{}$$  |  $$S_{_{A}}\acute{}/S_{_{T}}$$  | 
|  $$B$$  |  $$S_{_{B}}$$  |  $$\nu_{_{B}}=m-1$$  |  $$V_{_{B}}=S_{_{B}}/\nu_{_{B}}$$  |  $$\sigma_{_{E}}^{ \ 2}+l \ \sigma_{_{B \times R}}^{ \ 2}+lr \ \sigma_{_{B}}^{2}$$  |  $$V_{_{B}}/V_{_{B \times R}}$$  |  $$F_{1-\alpha}(\nu_{_{B}} \ , \ \nu_{_{B \times R}})$$  |  $$S_{_{B}}\acute{}$$  |  $$S_{_{B}}\acute{}/S_{_{T}}$$  | 
|  $$R$$  |  $$S_{_{R}}$$  |  $$\nu_{_{R}}=r-1$$  |  $$V_{_{R}}=S_{_{R}}/\nu_{_{R}}$$  |  $$\sigma_{_{E}}^{ \ 2}+lm \ \sigma_{_{R}}^{2}$$  |  $$V_{_{R}}/V_{_{E}}$$  |  $$F_{1-\alpha}(\nu_{_{R}} \ , \ \nu_{_{E}})$$  |  $$S_{_{R}}\acute{}$$  |  $$S_{_{R}}\acute{}/S_{_{T}}$$  | 
|  $$A \times B$$  |  $$S_{_{A \times B}}$$  |  $$\nu_{_{A \times B}}=(l-1)(m-1)$$  |  $$V_{_{A \times B}}=S_{_{A \times B}}/\nu_{_{A \times B}}$$  |  $$\sigma_{_{E}}^{ \ 2}+r \ \sigma_{_{A \times B}}^{2}$$  |  $$V_{_{A \times B}}/V_{_{E}}$$  |  $$F_{1-\alpha}(\nu_{_{A \times B}} \ , \ \nu_{_{E}})$$  |  $$S_{_{A \times B}}\acute{}$$  |  $$S_{_{A \times B}}\acute{}/S_{_{T}}$$  | 
|  $$A \times R$$  |  $$S_{_{A \times R}}$$  |  $$\nu_{_{A \times R}}=(l-1)(r-1)$$  |  $$V_{_{A \times R}}=S_{_{A \times R}}/\nu_{_{A \times R}}$$  |  $$\sigma_{_{E}}^{ \ 2}+m \ \sigma_{_{A \times R}}^{2}$$  |  $$V_{_{A \times R}}/V_{_{E}}$$  |  $$F_{1-\alpha}(\nu_{_{A \times R}} \ , \ \nu_{_{E}})$$  |  $$S_{_{A \times R}}\acute{}$$  |  $$S_{_{A \times R}}\acute{}/S_{_{T}}$$  | 
|  $$B \times R$$  |  $$S_{_{B \times R}}$$  |  $$\nu_{_{B \times R}}=(m-1)(r-1)$$  |  $$V_{_{B \times R}}=S_{_{B \times R}}/\nu_{_{B \times R}}$$  |  $$\sigma_{_{E}}^{ \ 2}+l \ \sigma_{_{B \times R}}^{2}$$  |  $$V_{_{B \times R}}/V_{_{E}}$$  |  $$F_{1-\alpha}(\nu_{_{B \times R}} \ , \ \nu_{_{E}})$$  |  $$S_{_{B \times R}}\acute{}$$  |  $$S_{_{B \times R}}\acute{}/S_{_{T}}$$  | 
|  $$E$$  |  $$S_{_{E}}$$  |  $$\nu_{_{E}}=(l-1)(m-1)(r-1)$$  |  $$V_{_{E}}=S_{_{E}}/\nu_{_{E}}$$  |  $$\sigma_{_{E}}^{ \ 2}$$  |    |    |  $$S_{_{E}}\acute{}$$  |  $$S_{_{E}}\acute{}/S_{_{T}}$$  | 
|  $$T$$  |  $$S_{_{T}}$$  |  $$\nu_{_{T}}=lmr-1$$  |    |    |    |    |  $$S_{_{T}}$$  |  $$1$$  |