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삼원배치법 (혼합모형) (반복없음)
데이터 구조
xijk=μ+ai+bj+rk+(ab)ij+(ar)ik+(br)jk+eijk
분산분석표
| 요인 | 제곱합 SS | 자유도 DF | 평균제곱 MS | E(MS) | F0 | 기각치 | 순변동 S´ | 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 |