3x3x3 Confounded Design with 4 Sets
ANOVA for (Partially Confounded 3 * 3 * 3 Design) Plant Height cm |
Source of Variations | df | Sum of Squares | Mean Squares | F Ratio | Probability | |
Replicates | 3 | 60.965 | 20.322 | 1.036 | 0.382 | |
Blocks within Replicates | 8 | 158.068 | 19.758 | 1.007 | 0.439 | |
Treatment A:LU(3)=2 | 2 | 843.168 | 421.584 | 21.488 | 0.000 | *** |
Treatment C | 2 | 167.003 | 83.502 | 4.256 | 0.018 | * |
A * B | 4 | 53.793 | 13.448 | 0.685 | 0.604 | |
B * C | 4 | 38.455 | 9.614 | 0.490 | 0.743 | |
A * C | 4 | 203.865 | 50.966 | 2.598 | 0.043 | * |
ABC Rep 1 | 2 | 122.752 | 61.376 | 3.128 | 0.050 | * |
ABC Rep 2 | 2 | 27.048 | 13.524 | 0.689 | 0.505 | |
ABC Rep 3 | 2 | 22.367 | 11.183 | 0.570 | 0.568 | |
ABC Repl 4 | 2 | 15.619 | 7.809 | 0.398 | 0.673 | |
Error | 70 | 1373.352 | 19.619 | |||
Total | 107 | 3213.023 | 30.028 |
Comparisons between | S.E.D. | C.D.95 |
% |
Ai-Aj, Bi-Bj & Ci-Cj | 1.044 | 2.082 | |
AiBi-AiBj & AiBi-AjBi | 1.808 | 3.607 | |
BiCi-BiCj & BiCi-BjCi | 1.808 | 3.607 | |
AiCi-AiCj & AiCi-AjCi | 1.808 | 3.607 |
A*B*C Table (Adjusted) | |||||||||
A0B0 | A0B1 | A0B2 | A1B0 | A1B1 | A1B2 | A2B0 | A2B1 | A2B2 | |
C0 | 72.863 | 73.74 | 71.595 | 76.42 | 74.31 | 72.39 | 78.42 | 84.753 | 77.385 |
C1 | 71.355 | 71.685 | 71.805 | 76.495 | 75.065 | 75.065 | 81.905 | 86.295 | 77.42 |
C2 | 73.265 | 73.475 | 70.083 | 74.74 | 74.04 | 71.415 | 75.665 | 72.448 | 76.045 |
AiBi | 72.494 | 72.967 | 71.161 | 75.885 | 74.472 | 72.957 | 78.663 | 81.165 | 76.95 |
General Mean | 75.190 |
C.V. |
5.891 |
B * A TABLE | C * B TABLE | A * C TABLE | |||||||||
B0 | B1 | B2 | C0 | C1 | C2 | A0 | A1 | A2 | |||
A0 | 72.49 | 72.97 | 71.16 | B0 | 75.9 | 76.58 | 74.56 | C0 | 72.73 | 74.37 | 80.19 |
A1 | 75.88 | 74.47 | 72.96 | B1 | 77.6 | 77.68 | 73.32 | C1 | 71.61 | 75.54 | 81.87 |
A2 | 78.66 | 81.17 | 76.95 | B2 | 73.79 | 74.76 | 72.51 | C2 | 72.27 | 73.4 | 74.72 |
Bi | 75.68 | 76.2 | 73.69 | Ci | 75.76 | 76.34 | 73.46 | Ai | 72.21 | 74.44 | 78.93 |